Dr. Harishkumar E

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Modeling and Simulation

Scopus Publications

Haar wavelet operational matrix method for the numerical analysis of free convection vertical flat plate embedded in a saturated porous medium with thermal radiation
S. C. Shiralashetti, E. Harishkumar, S. I. Hanaji
International Journal of Ambient Energy, 2025
Legendre wavelet operational matrix method for the analysis of thermal radiation effect on natural convection of a vertical plate embedded in a saturated porous medium
S. C. Shiralashetti, E. Harishkumar, Savita Hanaji
International Journal of Ambient Energy, 2023
In this paper, the heat transfer characteristics of natural convection around a vertical flat surface embedded in a saturated porous medium are studied by taking into account the thermal radiation effect. With the aid of the similarity transformations, the governing equations of the problem are reduced to the system of ordinary differential equations over the infinite domain. Moreover, the Legendre wavelet operational matrix method (LWOMM) is hired to find the numerical solution to the considered problem. Initially, to ensure the efficiency of the proposed strategy, a third-order nonlinear boundary value problem having the exact solution is considered a test problem. The numerical findings elucidate that the solutions obtained by the LWOMM are in good agreement with the exact solution as compared with the solution obtained by the Haar wavelet operational matrix method, with the consumption of less computational CPU time. Also, the temperature and velocity profiles are discussed graphically.

RECENT SCHOLAR PUBLICATIONS

Haar wavelet operational matrix method for the numerical analysis of free convection vertical flat plate embedded in a saturated porous medium with thermal radiation
SC Shiralashetti, E Harishkumar, SI Hanaji
International Journal of Ambient Energy 46 (1), 2513065 , 2025
2025
Arithmetical Scheme for Solving Exothermic Reactions Model with a Constant Heat Source in a Porous Medium Problems by the Operational Matrix Based on Fibonacci Wavelets
SC Shiralashetti, E Harishkumar, S Hanaji
Advances and Applications in Mathematical Sciences 23 (3), 153-181 , 2024
2024
Citations: 1
Legendre wavelet operational matrix method for the analysis of thermal radiation effect on natural convection of a vertical plate embedded in a saturated porous medium
SC Shiralashetti, E Harishkumar, S Hanaji
International Journal of Ambient Energy 44 (1), 1512-1521 , 2023
2023
Citations: 11
TAYLOR WAVELETS METHOD FOR SOLVING THE DISTINCTIVE SINGULAR ORDINARY DIFFERENTIAL EQUATIONS ARISING IN CHEMISTRY
SC SHIRALASHETTI, SI HANAJI, SS NAREGAL, E HARISHKUMAR
TWMS Journal of Applied and Engineering Mathematics 13 (1), 163-174 , 2023
2023
FIBONACCI WAVELET COLLOCATION SCHEME FOR THE NUMERICAL SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
SC SHIRALASHETTI, SI HANAJI, VR PALA, E HARISHKUMAR
TWMS Journal of Applied and Engineering Mathematics 13 (1), 191-199 , 2023
2023
BOUBAKER WAVELET OPERATIONAL MATRIX METHOD FOR THE NUMERICAL SOLUTION OF POROUS MEDIUM PROBLEM ON NATURAL CONVECTION OF A HEATED VERTICAL PLATE WITH INTERNAL HEAT GENERATION
SC SHIRALASHETTI, E HARISHKUMAR, SI HANAJI
TWMS Journal of Applied and Engineering Mathematics 13 (1), 175-190 , 2023
2023
Citations: 2
Muntz Legendre wavelet operational matrix method to compute a numerical solution for thermal radiation effect on natural convection boundary layer flow paast a vertical plate …
SC Shiralashetti, E Harishkumar, SI Hanaji
Indian Journal of Science and Technology 15 (48), 2777-2790 , 2022
2022
Citations: 7
Haar wavelet matrices for the numerical solution of system of ordinary differential equations
SC Shiralashetti, E Harishkumar
Malaya Journal of Matematik 1, 144-147 , 2020
2020
Citations: 14

MOST CITED SCHOLAR PUBLICATIONS

Haar wavelet matrices for the numerical solution of system of ordinary differential equations
SC Shiralashetti, E Harishkumar
Malaya Journal of Matematik 1, 144-147 , 2020
2020
Citations: 14
Legendre wavelet operational matrix method for the analysis of thermal radiation effect on natural convection of a vertical plate embedded in a saturated porous medium
SC Shiralashetti, E Harishkumar, S Hanaji
International Journal of Ambient Energy 44 (1), 1512-1521 , 2023
2023
Citations: 11
Muntz Legendre wavelet operational matrix method to compute a numerical solution for thermal radiation effect on natural convection boundary layer flow paast a vertical plate …
SC Shiralashetti, E Harishkumar, SI Hanaji
Indian Journal of Science and Technology 15 (48), 2777-2790 , 2022
2022
Citations: 7
BOUBAKER WAVELET OPERATIONAL MATRIX METHOD FOR THE NUMERICAL SOLUTION OF POROUS MEDIUM PROBLEM ON NATURAL CONVECTION OF A HEATED VERTICAL PLATE WITH INTERNAL HEAT GENERATION
SC SHIRALASHETTI, E HARISHKUMAR, SI HANAJI
TWMS Journal of Applied and Engineering Mathematics 13 (1), 175-190 , 2023
2023
Citations: 2
Arithmetical Scheme for Solving Exothermic Reactions Model with a Constant Heat Source in a Porous Medium Problems by the Operational Matrix Based on Fibonacci Wavelets
SC Shiralashetti, E Harishkumar, S Hanaji
Advances and Applications in Mathematical Sciences 23 (3), 153-181 , 2024
2024
Citations: 1
Haar wavelet operational matrix method for the numerical analysis of free convection vertical flat plate embedded in a saturated porous medium with thermal radiation
SC Shiralashetti, E Harishkumar, SI Hanaji
International Journal of Ambient Energy 46 (1), 2513065 , 2025
2025
TAYLOR WAVELETS METHOD FOR SOLVING THE DISTINCTIVE SINGULAR ORDINARY DIFFERENTIAL EQUATIONS ARISING IN CHEMISTRY
SC SHIRALASHETTI, SI HANAJI, SS NAREGAL, E HARISHKUMAR
TWMS Journal of Applied and Engineering Mathematics 13 (1), 163-174 , 2023
2023
FIBONACCI WAVELET COLLOCATION SCHEME FOR THE NUMERICAL SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
SC SHIRALASHETTI, SI HANAJI, VR PALA, E HARISHKUMAR
TWMS Journal of Applied and Engineering Mathematics 13 (1), 191-199 , 2023
2023