Jigisha U. Pandya
@scet.ac.in
Associate Professor, Mathematics Department
Sarvajanik College of Engineering & Technology, Surat
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
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Vijay K. Patel, Jigisha U. Pandya, and Manoj R. Patel
Wiley
AbstractThe 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 ().
Vijay K. Patel, Jigisha U. Pandya, and Manoj R. Patel
Elsevier BV
Manoj R. Patel, Jigisha U. Pandya, and Vijay K. Patel
Springer Science and Business Media LLC
Vijay K. Patel and Jigisha U. Pandya
Akademia Baru Publishing
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.
Manoj R. Patel and Jigisha U. Pandya
Czestochowa University of Technology
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
Manoj R. Patel and Jigisha U. Pandya
Elsevier BV
Jigisha U. Pandya
Hindawi Limited
The behavior of the non-linear-coupled systems arising in axially symmetric hydromagnetics flow between two horizontal plates in a rotating system is analyzed, where the lower is a stretching sheet and upper is a porous solid plate. The equations of conservation of mass and momentum are transformed to a system of coupled nonlinear ordinary differential equations. These equations for the velocity field are solved numerically by using quintic spline collocation method. To solve the nonlinear equation, quasilinearization technique has been used. The numerical results are presented through graphs, in which the effects of viscosity, through flow, magnetic flux, and rotational velocity on velocity field are discussed.