Mathematics, Applied Mathematics, Modeling and Simulation, Numerical Analysis
16
Scopus Publications
85
Scholar Citations
5
Scholar h-index
3
Scholar i10-index
Scopus Publications
Mathematical analysis and numerical simulation of a fractional-order alcohol consumption model incorporating binge drinkers Supriya Bhosale, Chhaya Lande, Hossain Jafari, D. K. Raut Boundary Value Problems, 2026 In this work, by the use of Caputo–Fabrizio fractional derivative, the fractional-order Alcoholism addiction dynamics model is formulated which capture memory effects inherent in addiction-related processes. The well-posedness of the proposed model is established by showing the existence and uniqueness of solutions under some conditions which suits to the model. Furthermore, there is a demonstration of the positivity and boundedness of the model solutions by ensuring the biological feasibility of the system and Reproduction number and endemic equilibrium with sensitivity analysis and analysis of Phase plane and bifurcation system. To assess the robustness of the solutions with respect to small perturbations, The Ulam–Hyers stability of the fractional model is investigated. To obtain approximate solutions, A suitable numerical technique is employed, and numerical simulations are carried out using MATLAB to support the theoretical findings. The influence of different fractional orders on the system dynamics is observed, which shows the accelerating progression of Recovery. The graph highlights the significant role of memory effects. The fractional-order framework provides a more flexible and realistic description of addiction dynamics compared to the classical integer-order model. The results obtained offer qualitative insights for understanding behavioral patterns of the system.
Design of Metal Leading Edge Cap Joint on Thin Wall Composite Fan Blade in Aircraft Engine Nidhi Yadav, Prakash Jadhav, Chhaya Lande Journal of Composites Science, 2026 Thin wall composite fan blades in aircraft engines demand designs that ensure structural integrity under operational loads while resisting foreign object damage and bird strikes. This study presents a finite element investigation of thin wall composite blades with metal leading edge caps, modeled through parametric coupon analyses under static flexure loading using ANSYS APDL. Three metallic leading edge caps, Ti-6Al-4V, Inconel 718, and 15-5 PH stainless steel, were combined with IM7/8551-7 carbon fiber composites. Parametric variations included changes in metal cap material, geometric designs of the joint, and other things. Performance was evaluated in terms of failure stress, interlaminar shear strains, interface integrity, and failure margins. Results reveal that cap design and cap material critically govern structural response, with distinct interchanges between strength-to-weight efficiency, interface stresses, and interlaminar shear strain. Optimal designs reduced interlaminar shear strain levels in thin wall composite blades, while retaining adequate stiffness and strength. The results underscore the importance of interface design for effective load transfer and provide design guidelines for lightweight, damage-tolerant thin wall composite fan blade structures.
Simulation of abradable coatings compositions through microstructure image modeling Azmeera Anitha Kumari, Prakash Jadhav, Chhaya Lande Metallurgical Research and Technology, 2026 An image-based modeling technique for microstructure was created to simulate the coating wear process and to aid in the composition design of the abradable coating. A range of analysis tools were utilized for microstructure modeling, meshing, and wear analysis to develop a model of an abradable coating and analyze its wear under controlled conditions. The correlation between the percentage change in the form and composition of metal, oxide, and voids, as well as mechanical qualities like hardness, is investigated using computational models based on actual micrographic pictures of abradable coatings. Abrasion-resistant coatings such as NiCrAl-bentonite and other CoNiCrAl-BN polyester coatings were examined using microstructure photos. Various techniques were used to construct, mesh, and refine 3D coating finite element models from microstructure images, which were then enhanced by adding the blade. After that, the coating models were put through the simulated rub rig test. The effect of material parameter variation such as the changes in porosity level and hardness level on the abradability level of coatings is also presented here. As porosity increases, so does the erosion rate and abradability. A decrease in abradability occurs with an increase in hardness. Increased coating wear or decreased blade wear results in increased abradability. The abradability number of the CoNiCrAl-BN polyester coating coating, as determined by simulation, is higher than that of the NiCrAl-bentonite coating. Main outcomes of this investigation reveal that coatings with higher porosity (56%) and lower hardness (48 HR15Y) exhibit superior abradability (up to 11.34), enabling efficient, controlled material removal with minimal blade wear. In contrast, denser microstructures (46% porosity, 71 HR15Y hardness) show reduced abradability (∼6.56), resulting in higher blade damage due to increased contact stresses. Statistical analysis confirms abradability is directly proportional to porosity and erosion rate, and inversely proportional to hardness and interfacial bond strength. These findings provide a predictive, microstructure-driven design framework for optimizing abradable seal performance in gas turbine engines.
Modelling Time-Varying Subsurface Seepage in Unconfined Sloping Aquifers: A Comprehensive Analysis of Groundwater Flow with Nonlinear Advection-Diffusion Equations Shikha Saxena, Chhaya Lande Cfd Letters, 2025 A stream-aquifer subsurface seepage model is developed to estimate fluctuations in the water table in an unconfined sloping aquifer which receives subsurface seepage from adjacent water bodies and time-varying vertical recharge. The groundwater flow is approximated by a nonlinear advection-diffusion equation subjected to time-dependent boundary conditions. Two numerical schemes namely Mac Cormack scheme and Du Fort Frankel scheme are used for solving the nonlinear flow equations. A Model is developed by solving the nonlinear Boussinesq equation using the Laplace transform technique. The combined effects of bed slope, stream rise rate, and vertical recharge are demonstrated using an illustrative example. To assess the validity of linearization, numerical solutions are compared with analytical solutions using an extensive value of aquifer parameters. Simulation is done using hypothetical data and results are compared with the previous literature. The results indicate that the approximate analytical solution agrees with the numerical solution for bed sloping angle within the range – 5 deg to 5 deg
A Fractional Smoking Transmission Model Utilizing the Caputo-Fabrizio Operator: A Comprehensive Analysis and Simulation Supriya Bhosale, Chhaya Kiran Lande, Hossein Jafari, Dnyaneshwar Raut European Journal of Pure and Applied Mathematics, 2025 Over the past few years, several novel formulations of fractional derivatives have emerged, facilitating the construction of mathematical models that can address a broad spectrum of real-world applications. This study presents and investigates a mathematical model for smoking behavior incorporating the Caputo–Fabrizio fractional differential operator, which is par-ticularly valued for its non-singular kernel and ability to capture memory effects in dynamic systems without the complexities of singularities. Here, the population is divided into six distinct compartments: mainly susceptible, snuffing, irregular, habitual, regular, and quit. To explore the model’s dynamics, the Laplace Adomian Decomposition Method (LADM) and the Aboodh Adomian Decomposition Method (AADM) are employed. A comparative analysis of LADM and AADM is carried out using MATLAB software, with numerical simulations conducted for various fractional orders to assess the accuracy and efficiency of both techniques. Both methodologies demonstrated a high level of accuracy and consistency in their results, highlighting their reliability for modeling complex systems.
Effect of Change in Material Properties of the Abradable Coating on the Wear Behavior of It—Microstructure Model-Based Analysis Approach Anitha Kumari Azmeera, Prakash Jadhav, Chhaya Lande Lubricants, 2025 In aerospace applications, engine parts, especially those around the rotor blade tips, are coated with an abradable seal, a specific material layer. Its design produces a tighter seal without harming the blades by allowing it to wear down or “abrade” somewhat when the blade tips come into contact. In turbines and compressors, this reduces gas leakage between high- and low-pressure zones, increasing engine efficiency. Abradable seals are crucial to contemporary jet engines because they enhance performance and lower fuel consumption. The materials selected for these seals are designed to balance durability and abrasion resistance under high temperatures and speeds. Metal matrix, oxide particles, and porosity are the three most prevalent phases. An ideal mix of characteristics, such as hardness and erosion resistance, determines how effective a seal is, and this is accomplished by keeping the right proportions of elements in place throughout production. The primary objective of this research is to optimize abradability by utilizing various FEM tools to simulate the rub rig test and modify testing parameters, including Young’s modulus, yield stress, and tangent modulus, to analyze their impact on the wear behavior of the abradable seal and blade. Two microstructure models (CoNiCrAlY–BN–polyester coating) were found to perform optimally at porosity levels of 56% and 46%, corresponding to hardness values of 48 HR15Y and 71 HR15Y, respectively. Changing factors like yield stress and tangent modulus makes the seal more abrasive while keeping its hardness, porosity, and Young’s modulus the same. Furthermore, altering the Young’s modulus of the shroud material achieves optimal abradability when tangent modulus and yield stress remain constant. These findings provide valuable insights for improving material performance in engineering applications. To improve abradability and forecast characteristics, this procedure entails evaluating the effects of every single parameter setting, culminating in the creation of the best abradable materials. This modeling technique seems to provide reliable findings, providing a solid basis for coating design in the future.
Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications S. A. Wani, C. Lande, F. A. F. Gandara, W. A. Khan Journal of Mathematics and Computer Science, 2025 This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties. Through a comprehensive investigation, a novel category of polynomials termed the 2-iterated degenerate 2D Appell polynomials is introduced, leveraging the monomiality principle. The study uncovers fresh insights that align with previous research endeavors and presents explicit formulas and crucial properties of these polynomials. Furthermore, connections are established between the 2-iterated degenerate 2D Appell polynomials and other polynomial families such as the Bernoulli, Euler, and Genocchi polynomials. Leveraging these interconnections, additional results are derived. By recognizing the aforementioned polynomials as initial members of the Appell family and employing the principle of monomiality, this investigation significantly contributes to the expansion of knowledge in the domain of special polynomials.
Mathematical Modeling of Groundwater Surface Water Interaction Represented using Boussinesq Equation – A Bibliometric Study Chhaya Lande, Shilpa Malge, B. S. Veena, Ketan Kotecha Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2023 Water is a significant, a must-needed natural resource for mankind and all living species on earth. Apart from for drinking and domestic needs, water is being used for other purposes like farming and industry. Groundwater is a natural, easily available water source. It is predicted that, by 2025, two-thirds of the world's population may face water shortage. Due to anthropogenic activities, quality of groundwater is hampered. The study of groundwater with the help of mathematical modeling gives a thorough idea of all the parameters which affect groundwater. Bibliometric studies aids researchers and funding agencies to focus on the research area in which more attention is required. It helps the new researchers to identify the varied areas pertaining to the research field in which one needs to focus more to get fruitful results. The use of Boussinesq equations is one of the leading methods in modeling the problem in groundwater analysis. This paper provides an overall picture of research carried out in groundwater analysis in the current century. This analysis is based on the publications available in Scopus database using some graphical tools. Figures and facts are interpreted in the form of plots, charts, and tables. This survey revealed that the maximum publications are from journals and conferences and USA lead the publications in this area. A lot of publications in this area are from journals of Fluid mechanics followed by journals of Civil engineering. The number of papers and papers published in journals of different areas shows the importance of this research topic and also the thrust.
Mathematical analysis and numerical simulation of a fractional-order alcohol consumption model incorporating binge drinkers S Bhosale, C Lande, H Jafari, DK Raut Boundary Value Problems , 2026 2026
Design of Metal Leading Edge Cap Joint on Thin Wall Composite Fan Blade in Aircraft Engine N Yadav, P Jadhav, C Lande Journal of Composites Science 10 (3), 166 , 2026 2026
QUANTUM SIGNAL AND IMAGE PROCESSING: THEORETICAL MODELS AND COMPUTATIONAL FRAMEWORKS V Sangeetha, VJ Chakravarthy, P Raikar, A Karmakar, C Ravichandran, ... 2026
Simulation of abradable coatings compositions through microstructure image modeling AA Kumari, P Jadhav, C Lande Metallurgical Research & Technology 123 (1), 106 , 2026 2026
A Fractional Smoking Transmission Model Utilizing the Caputo-Fabrizio Operator: A Comprehensive Analysis and Simulation S Bhosale, CK Lande, H Jafari, D Raut European Journal of Pure and Applied Mathematics 18 (3), 6507-6507 , 2025 2025 Citations: 2
ON DIFFERED COPSON I-CONVERGENT SEQUENCE SPACES MI IDRISI, K SAINI, S MALGE, C LANDE Bulletin of Mathematical Analysis & Applications 17 (3) , 2025 2025
Numerical Analysis of Water Exchange Dynamics Between Stream and Sloping Aquifer Using Finite Difference Method. CK Lande, A Warke Mathematical Modelling of Engineering Problems 12 (4) , 2025 2025 Citations: 1
Effect of Change in Material Properties of the Abradable Coating on the Wear Behavior of It—Microstructure Model-Based Analysis Approach AK Azmeera, P Jadhav, C Lande Lubricants 13 (1), 22 , 2025 2025 Citations: 5
Microstructure image-based finite element methodology to design abradable coatings for aero engines AK Azmeera, P Jadhav, C Lande Aerospace 10 (10), 873 , 2023 2023 Citations: 6
Asymmetric Four Point Bend Test Method for Interlaminar Shear Strength in Ceramic Matrix Composites P Jadhav, C Lande Materials Science Forum 1094, 19-24 , 2023 2023 Citations: 1
Bird-strike analysis on hybrid composite fan blade: blade-level validation G Yella, P Jadhav, C Lande Aerospace 10 (5), 435 , 2023 2023 Citations: 27
Mode II-delamination modeling in multi-directional laminates using cohesive zone methodology under static and dynamic loading P Jadhav, G Yella, A Azmeera, C Lande Materials Today: Proceedings , 2023 2023 Citations: 3
Estimation of groundwater variations in an anisotropic leaky aquifer: A ditch drain model CK Lande, A Warke J. Math. Comput. Sci. 12, Article ID 121 , 2022 2022
Approximation of Subsurface Seepage using 2-Dimensional Boussineq Equation CK Lande Journal of Advances in Mathematics and Computer Science 36 (4), 79-89 , 2021 2021
Mathematical Modelling of Subsurface Seepage Flow in 2-Dimensional Anisotropic Porous Medium C Lande, S Saxena 2020
Simulation of two dimensional subsurface seepage flow in isolated anisotropic aquifer CK Lande, RK Bansal, A Warke Materials Today: Proceedings 23, 329-337 , 2020 2020 Citations: 5
Groundwater-Surfacewater modelling: A critical review CL Shikha saxena, R K Bansal, Basant Singh Anushandhan 8 (15), 1632-1637 , 2019 2019
Simulation of 2-dimensional subsurface seepage flow in an anisotropic porous medium CK Lande, RK Bansal, A Warke Perspectives in Science 8, 276-278 , 2016 2016 Citations: 12
Unsteady groundwater flow over sloping beds: analytical quantification of stream–aquifer interaction in presence of thin vertical clogging layer RK Bansal, CK Lande, A Warke Journal of Hydrologic Engineering 21 (7), 04016017 , 2016 2016 Citations: 23
Estimation of Seepage and Recharge induced Surface-Groundwater interaction over Sloping Terrain using Boussinesq Equation DAW Chhaya Lande, Dr.Rajeevkumar Bansal Proceedings of International Conference on Water Cooperation and … , 2013 2013
MOST CITED SCHOLAR PUBLICATIONS
Bird-strike analysis on hybrid composite fan blade: blade-level validation G Yella, P Jadhav, C Lande Aerospace 10 (5), 435 , 2023 2023 Citations: 27
Unsteady groundwater flow over sloping beds: analytical quantification of stream–aquifer interaction in presence of thin vertical clogging layer RK Bansal, CK Lande, A Warke Journal of Hydrologic Engineering 21 (7), 04016017 , 2016 2016 Citations: 23
Simulation of 2-dimensional subsurface seepage flow in an anisotropic porous medium CK Lande, RK Bansal, A Warke Perspectives in Science 8, 276-278 , 2016 2016 Citations: 12
Microstructure image-based finite element methodology to design abradable coatings for aero engines AK Azmeera, P Jadhav, C Lande Aerospace 10 (10), 873 , 2023 2023 Citations: 6
Effect of Change in Material Properties of the Abradable Coating on the Wear Behavior of It—Microstructure Model-Based Analysis Approach AK Azmeera, P Jadhav, C Lande Lubricants 13 (1), 22 , 2025 2025 Citations: 5
Simulation of two dimensional subsurface seepage flow in isolated anisotropic aquifer CK Lande, RK Bansal, A Warke Materials Today: Proceedings 23, 329-337 , 2020 2020 Citations: 5
Mode II-delamination modeling in multi-directional laminates using cohesive zone methodology under static and dynamic loading P Jadhav, G Yella, A Azmeera, C Lande Materials Today: Proceedings , 2023 2023 Citations: 3
A Fractional Smoking Transmission Model Utilizing the Caputo-Fabrizio Operator: A Comprehensive Analysis and Simulation S Bhosale, CK Lande, H Jafari, D Raut European Journal of Pure and Applied Mathematics 18 (3), 6507-6507 , 2025 2025 Citations: 2
Numerical Analysis of Water Exchange Dynamics Between Stream and Sloping Aquifer Using Finite Difference Method. CK Lande, A Warke Mathematical Modelling of Engineering Problems 12 (4) , 2025 2025 Citations: 1
Asymmetric Four Point Bend Test Method for Interlaminar Shear Strength in Ceramic Matrix Composites P Jadhav, C Lande Materials Science Forum 1094, 19-24 , 2023 2023 Citations: 1
Mathematical analysis and numerical simulation of a fractional-order alcohol consumption model incorporating binge drinkers S Bhosale, C Lande, H Jafari, DK Raut Boundary Value Problems , 2026 2026
Design of Metal Leading Edge Cap Joint on Thin Wall Composite Fan Blade in Aircraft Engine N Yadav, P Jadhav, C Lande Journal of Composites Science 10 (3), 166 , 2026 2026
QUANTUM SIGNAL AND IMAGE PROCESSING: THEORETICAL MODELS AND COMPUTATIONAL FRAMEWORKS V Sangeetha, VJ Chakravarthy, P Raikar, A Karmakar, C Ravichandran, ... 2026
Simulation of abradable coatings compositions through microstructure image modeling AA Kumari, P Jadhav, C Lande Metallurgical Research & Technology 123 (1), 106 , 2026 2026
ON DIFFERED COPSON I-CONVERGENT SEQUENCE SPACES MI IDRISI, K SAINI, S MALGE, C LANDE Bulletin of Mathematical Analysis & Applications 17 (3) , 2025 2025
Estimation of groundwater variations in an anisotropic leaky aquifer: A ditch drain model CK Lande, A Warke J. Math. Comput. Sci. 12, Article ID 121 , 2022 2022
Approximation of Subsurface Seepage using 2-Dimensional Boussineq Equation CK Lande Journal of Advances in Mathematics and Computer Science 36 (4), 79-89 , 2021 2021
Mathematical Modelling of Subsurface Seepage Flow in 2-Dimensional Anisotropic Porous Medium C Lande, S Saxena 2020
Groundwater-Surfacewater modelling: A critical review CL Shikha saxena, R K Bansal, Basant Singh Anushandhan 8 (15), 1632-1637 , 2019 2019
Estimation of Seepage and Recharge induced Surface-Groundwater interaction over Sloping Terrain using Boussinesq Equation DAW Chhaya Lande, Dr.Rajeevkumar Bansal Proceedings of International Conference on Water Cooperation and … , 2013 2013
