Jigisha U. Pandya

@scet.ac.in

Associate Professor, Mathematics Department
Sarvajanik College of Engineering & Technology, Surat

Jigisha U. Pandya


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https://researchid.co/jigisha.pandya
My research area is in the field of Numerical Techniques, Approximation Methods, Quasilinearization Technique, Spline Functions , etc.

The major research work deals with a study of Spline collocation method with different types of approaches to solve linear as well as non-linear boundary value problems. The various features of the Spline collocation technique enhance the applicability in the field of numerical analysis to differential equations.

EDUCATION

B.Sc., M.Sc., Ph.D. (Mathematics)

RESEARCH INTERESTS

Numerical Methods, Spline Functions, Quasilinearizaion Techniques
12

Scopus Publications

131

Scholar Citations

6

Scholar h-index

4

Scholar i10-index

Scopus Publications

  • Effect of Slip Conditions and Heat Generation on Ag–TiO2/Water Hybrid Nanofluid Flow over Exponential Stretching/Shrinking Sheet
    Vijay K. Patel, Jigisha U. Pandya
    International Journal of Applied and Computational Mathematics, 2025
  • Exploring the effects of TiO2–Ag/water hybrid nanofluid on MHD flow over a permeable exponentially stretching–shrinking sheet with radiative heat transfer and slip conditions
    Vijay K. Patel, Jigisha U. Pandya, Manoj R. Patel
    ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 2024
    The objective of this article is to study the importance of velocity and thermal slip in the exponentially stretching or shrinking sheet with the megnetohydrodynamic (MHD) hybrid nanofluid flow along with magnetic field, radiative, heat generation effects. This study has practical importance in enhancing heat transfer efficiency, improving energy conversion and optimizing thermal management systems. The findings can also contribute to the development of sustainable energy systems and aid in assessing the stability and safety of nanofluid applications. The governing partial differential equations are transformed into nonlinear ordinary differential equations using similarity transformation. The ODEs are solved using bvp4c solver in MATLAB. The dual solutions are achieved for specific range of the stretching or shrinking parameter and mass suction parameter. The first solution is physically significant after considering stability analysis. The hybrid nanofluid has numerous real‐life and industrial applications, such as microelectronics, manufacturing, naval structures, nuclear system cooling, biomedical, and drug reduction. The skin‐friction increases but Nusselt number decreases over the stretching sheet whereas the opposite effect shows over shrinking sheet for the both solution with the increasing velocity slip parameter. On the other hand, The Nusselt number decreases over the shrinking or stretching sheet for both solutions with the increasing in the thermal slip parameter. The skin friction increases over shrinking sheet but decreases over stretching sheet for the first solution with increasing silver volume fraction parameter and porosity parameter (). Enhancing magnetic field parameter leads to the skin friction increases over the shrinking sheet but decreases over stretching sheet but Nusselt number shows opposite trend. The Nusselt number decreases over shrinking sheet but increases over stretching sheet for the first solution with increasing porosity parameter (). The Nusselt number decreases over shrinking or stretching sheet as the increases heat generation () and variable thermal conductivity parameter () but Nusselt number shows opposite trend as the increases radiative parameter ().
  • Thermal and velocity slip conditions together with thermal radiative effects on Joule heating mixed convection MHD hybrid nanofluid flow induced by an exponentially shrinking or stretching sheet
    Vijay K. Patel, Jigisha U. Pandya, Manoj R. Patel
    International Journal of Modelling and Simulation, 2024
    The present study analyzes the mixed convection with magnetohydrodynamic (MHD) flow, Joule heating, and heat transfer in hybrid nanofluids on exponentially stretching or shrinking sheets. The study aims to optimize heat transfer and fluid dynamics properties in engineering and industrial applications. The governing partial differential equations are converted into ordinary differential equations by employing appropriate similarity transformations and then solved using the BVP4C MATLAB tool. In this study, the effects of silver volume fraction, velocity slip, thermal slip, magnetic field, heat generation, Eckert number, and thermal radiation on the skin friction coefficient, Nusselt number, velocity profile, and temperature profile are examined and graphically discussed. The base fluid water contained 2% silver (Ag) and 0.1% titanium oxide (TiO2) nano-particles in this hybrid model. The dual solution was present for a shrinking sheet (λ<0) when λ≥λc. The skin friction coefficient values decreased by approximately 37%, while the local Nusselt number increased by approximately 3.1% when the velocity slip increased in the first solution. The Nusselt number increased by approximately 0.28% and 12% when the Eckert number and radiative parameter increased, respectively, but decreased by approximately 7.5% and 0.20% when the thermal slip and heat generation increased, respectively.
  • Testing the influence of TiO2− Ag/water on hybrid nanofluid MHD flow with effect of radiation and slip conditions over exponentially stretching & shrinking sheets
    Vijay K. Patel, Jigisha U. Pandya, Manoj R. Patel
    Journal of Magnetism and Magnetic Materials, 2023
  • Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique
    Computational Methods for Differential Equations, 2022
  • Numerical Analysis of Fluid Flow Behaviour in Four-Sided Square Lid-Driven Cavity Using the Finite Volume Technique
    Manoj R. Patel, Jigisha U. Pandya, Vijay K. Patel
    International Journal of Applied and Computational Mathematics, 2022
  • The Consequences of Thermal Radiation and Chemical Reactions on Magneto-hydrodynamics in Two Dimensions over a Stretching Sheet with Jeffrey Fluid
    Vijay K. Patel, Jigisha U. Pandya
    Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2022
    In this research paper, the Homotopy Analysis Method is used to investigate the two-dimensional electrical conduction of a magnetohydrodynamic (MHD) Jeffrey Fluid across a stretching sheet under various conditions, such as when electrical current and temperature are both present, and when heat is added to the presence of a chemical reaction or thermal radiation. Applying similarity transformation, the governing partial differential equation is transformed into terms of nonlinear coupled ordinary differential equations. The Homotopy Analysis Method is used to solve a system of ordinary differential equations. The impact of different numerical values on velocity, concentration, and temperature is examined and presented in tables and graphs. The fluid velocity reduces as the retardation time parameter (λ_2) grows, while the fluid velocity inside the boundary layer increases as the Deborah number (β) increases. The velocity profiles decrease when the magnetic parameter M is increased. The results of this study are entirely compatible with those of a viscous fluid. The Homotopy Analysis Method calculations have been carried out on the PARAM Shavak high-performance computing (HPC) machine using the BVPh2.0 Mathematica tool.
  • A RESEARCH STUDY ON UNSTEADY STATE CONVECTION DIFFUSION FLOW WITH ADOPTION OF THE FINITE VOLUME TECHNIQUE
    Manoj R. Patel, Jigisha U. Pandya
    Journal of Applied Mathematics and Computational Mechanics, 2021
    This research paper is an attempt to solve the unsteady state convection diffusion one dimension equation. It focuses on the fully implicit hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique. The simulation of the unsteady state convection diffusion problem with a known actual solution is also used to validate both the techniques, respectively, the fully implicit hybrid differencing numerical finite volume technique as well as the fully implicit central differencing numerical finite volume technique by giving a particular example and solving it using the appropriate, particular technique. It is observed that the numerical scheme is an outstanding deal with the exact solution. Numerical results and graphs are presented for different Peclet numbers. MSC 2010: 65L12, 65M08, 80M12, 80M20, 76Rxx
  • Numerical study of a one and two-dimensional heat flow using finite volume
    Manoj R. Patel, Jigisha U. Pandya
    Materials Today Proceedings, 2021
  • Vibrating membrane problem solved using spline collocation method with dirichlet conditions
    International Journal of Mechanical and Production Engineering Research and Development, 2017
  • An effect of magnetic parameter on MHD boundary layer model for newtonian power-law fluids using collocation method
    International Journal of Mechanical and Production Engineering Research and Development, 2017
  • The solution of a coupled nonlinear system arising in a three-dimensional rotating flow using spline method
    Jigisha U. Pandya
    International Journal of Mathematics and Mathematical Sciences, 2012

RECENT SCHOLAR PUBLICATIONS

  • Effect of Slip Conditions and Heat Generation on Ag–TiO 2 /Water Hybrid Nanofluid Flow over Exponential Stretching/Shrinking Sheet
    VK Patel, JU Pandya
    International Journal of Applied and Computational Mathematics 11 (4), 123 , 2025
    2025
    Citations: 1
  • Thermal and velocity slip conditions together with thermal radiative effects on Joule heating mixed convection MHD hybrid nanofluid flow induced by an exponentially shrinking …
    VK Patel, JU Pandya, MR Patel
    International Journal of Modelling and Simulation, 1-27 , 2024
    2024
    Citations: 5
  • Exploring the effects of TiO 2 \rmTiO_2–Ag/water hybrid nanofluid on MHD flow over a permeable exponentially stretching–shrinking sheet with radiative heat transfer and slip …
    VK Patel, JU Pandya, MR Patel
    ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024
    2024
    Citations: 6
  • Testing the influence of TiO2− Ag/water on hybrid nanofluid MHD flow with effect of radiation and slip conditions over exponentially stretching & shrinking sheets
    VK Patel, JU Pandya, MR Patel
    Journal of Magnetism and Magnetic Materials 572, 170591 , 2023
    2023
    Citations: 43
  • Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique
    MR Patel, JU Pandya, VK Patel
    Computational Methods for Differential Equations 10 (4), 986-1006 , 2022
    2022
    Citations: 9
  • Numerical analysis of fluid flow behaviour in four-sided square lid-driven cavity using the finite volume technique
    MR Patel, JU Pandya, VK Patel
    International Journal of Applied and Computational Mathematics 8 (4), 153 , 2022
    2022
    Citations: 9
  • The consequences of thermal radiation and chemical reactions on magneto-hydrodynamics in two dimensions over a stretching sheet with Jeffrey fluid
    VK Patel, JU Pandya
    J Adv Res Fluid Mech Therm Sci 95 (1), 121-144 , 2022
    2022
    Citations: 11
  • Numerical study of a one and two-dimensional heat flow using finite volume
    MR Patel, JU Pandya
    Materials Today: Proceedings 51, 48-57 , 2022
    2022
    Citations: 16
  • Numerical study of a one and two-dimensional heat flow using finite
    MR Patel, JU Pandya
    2021
  • A research study on unsteady state convection diffusion flow with adoption of the finite volume technique
    MR Patel, JU Pandya
    Journal of Applied Mathematics and Computational Mechanics 20 (4) , 2021
    2021
    Citations: 11
  • Spline Approximation of Velocity Profile For Fluid Flow in Two Dimensions
    JU Pandya, HD Doctor
    Journal of Emerging Technologies and Innovative Research (JETIR) 5 (11), 848-860 , 2018
    2018
  • Spline Solutions to Dengue Disease Transmission Model
    S Keyuri J., P Jigisha U.
    VNSGU Journal of Science & Technology 6 (1), 28-35 , 2018
    2018
  • A Numerical Solution of Two-dimensional coupled Burgers’ equation using Spline Explicit & Implicit Scheme
    DJUP Mr. Nileshkumar A.Patel
    American International Journal of Research in Science, Technology … , 2018
    2018
  • Effect of Magnetic Parameter on Newtonian Fluids when Speed of the Plate is Less than the Fluid using Collocation Method
    VV Patel, JU Pandya
    International Journal of Emerging Technology & Advanced Engineering (ISO … , 2017
    2017
  • Spline Collocation Method for solving Burgers equation in Fluid Dynamic
    NA Patel, JU Pandya
    International Journal of Emerging Technology & Advanced Engineering (ISO … , 2017
    2017
  • One-dimensional heat equation subject to both neumann and Dirichlet initial boundary conditions and used a spline collocation method ICRISET
    N Pandya
    Kalpa Publ Comput 2, 107-112 , 2017
    2017
    Citations: 4
  • An approximate solution of boundary layer equations for third grade Non-Newtonian fluid
    VV Patel, JU Pandya
    Global Journal of Pure and Applied Mathematics 13 (1), 33-39 , 2017
    2017
  • Approximate solution for the thin film flow problem of a third grade fluid using spline collocation method
    H Shah, J Pandya, P Shah
    Journal of Advances in Applied Mathematics 1 (2), 91-138 , 2016
    2016
    Citations: 5
  • Numerical solution of third-order singularly perturbed ODE of convection-diffusion type using spline collocation
    JU Pandya, HD Doctor
    International Journal Of Mathematics And Scientific Computing 2 (2), 81-85 , 2012
    2012
    Citations: 4
  • The Solution of a Coupled Nonlinear System Arising in a Three‐Dimensional Rotating Flow Using Spline Method
    JU Pandya
    International Journal of Mathematics and Mathematical Sciences 2012 (1), 702458 , 2012
    2012
    Citations: 2

MOST CITED SCHOLAR PUBLICATIONS

  • Testing the influence of TiO2− Ag/water on hybrid nanofluid MHD flow with effect of radiation and slip conditions over exponentially stretching & shrinking sheets
    VK Patel, JU Pandya, MR Patel
    Journal of Magnetism and Magnetic Materials 572, 170591 , 2023
    2023
    Citations: 43
  • Numerical study of a one and two-dimensional heat flow using finite volume
    MR Patel, JU Pandya
    Materials Today: Proceedings 51, 48-57 , 2022
    2022
    Citations: 16
  • The consequences of thermal radiation and chemical reactions on magneto-hydrodynamics in two dimensions over a stretching sheet with Jeffrey fluid
    VK Patel, JU Pandya
    J Adv Res Fluid Mech Therm Sci 95 (1), 121-144 , 2022
    2022
    Citations: 11
  • A research study on unsteady state convection diffusion flow with adoption of the finite volume technique
    MR Patel, JU Pandya
    Journal of Applied Mathematics and Computational Mechanics 20 (4) , 2021
    2021
    Citations: 11
  • Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique
    MR Patel, JU Pandya, VK Patel
    Computational Methods for Differential Equations 10 (4), 986-1006 , 2022
    2022
    Citations: 9
  • Numerical analysis of fluid flow behaviour in four-sided square lid-driven cavity using the finite volume technique
    MR Patel, JU Pandya, VK Patel
    International Journal of Applied and Computational Mathematics 8 (4), 153 , 2022
    2022
    Citations: 9
  • Exploring the effects of TiO 2 \rmTiO_2–Ag/water hybrid nanofluid on MHD flow over a permeable exponentially stretching–shrinking sheet with radiative heat transfer and slip …
    VK Patel, JU Pandya, MR Patel
    ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte … , 2024
    2024
    Citations: 6
  • Thermal and velocity slip conditions together with thermal radiative effects on Joule heating mixed convection MHD hybrid nanofluid flow induced by an exponentially shrinking …
    VK Patel, JU Pandya, MR Patel
    International Journal of Modelling and Simulation, 1-27 , 2024
    2024
    Citations: 5
  • Approximate solution for the thin film flow problem of a third grade fluid using spline collocation method
    H Shah, J Pandya, P Shah
    Journal of Advances in Applied Mathematics 1 (2), 91-138 , 2016
    2016
    Citations: 5
  • The numerical solution of föppl-hencky equation using spline method
    JU Pandya, HD Doctor
    Int. J. of Appl. Math and Mech 6 (15), 58-66 , 2010
    2010
    Citations: 5
  • One-dimensional heat equation subject to both neumann and Dirichlet initial boundary conditions and used a spline collocation method ICRISET
    N Pandya
    Kalpa Publ Comput 2, 107-112 , 2017
    2017
    Citations: 4
  • Numerical solution of third-order singularly perturbed ODE of convection-diffusion type using spline collocation
    JU Pandya, HD Doctor
    International Journal Of Mathematics And Scientific Computing 2 (2), 81-85 , 2012
    2012
    Citations: 4
  • The Solution of a Coupled Nonlinear System Arising in a Three‐Dimensional Rotating Flow Using Spline Method
    JU Pandya
    International Journal of Mathematics and Mathematical Sciences 2012 (1), 702458 , 2012
    2012
    Citations: 2
  • Effect of Slip Conditions and Heat Generation on Ag–TiO 2 /Water Hybrid Nanofluid Flow over Exponential Stretching/Shrinking Sheet
    VK Patel, JU Pandya
    International Journal of Applied and Computational Mathematics 11 (4), 123 , 2025
    2025
    Citations: 1
  • Numerical study of a one and two-dimensional heat flow using finite
    MR Patel, JU Pandya
    2021
  • Spline Approximation of Velocity Profile For Fluid Flow in Two Dimensions
    JU Pandya, HD Doctor
    Journal of Emerging Technologies and Innovative Research (JETIR) 5 (11), 848-860 , 2018
    2018
  • Spline Solutions to Dengue Disease Transmission Model
    S Keyuri J., P Jigisha U.
    VNSGU Journal of Science & Technology 6 (1), 28-35 , 2018
    2018
  • A Numerical Solution of Two-dimensional coupled Burgers’ equation using Spline Explicit & Implicit Scheme
    DJUP Mr. Nileshkumar A.Patel
    American International Journal of Research in Science, Technology … , 2018
    2018
  • Effect of Magnetic Parameter on Newtonian Fluids when Speed of the Plate is Less than the Fluid using Collocation Method
    VV Patel, JU Pandya
    International Journal of Emerging Technology & Advanced Engineering (ISO … , 2017
    2017
  • Spline Collocation Method for solving Burgers equation in Fluid Dynamic
    NA Patel, JU Pandya
    International Journal of Emerging Technology & Advanced Engineering (ISO … , 2017
    2017