This study proposes a Padé approximation based hybrid mesh free framework for numerical
solutions of nonlinear partial differential equations. The proposed framework involves three …

In present study, it is aimed to implement the analytical method and a numerical approach
based on finite element method to get approximate soliton solutions of two special forms of …

In this study, a numerical solution of the velocity and heat transfer on the
magnetohydrodynamic suction–injection model of viscous fluid flow has been studied. We …

In this article, a new method for obtaining closed-form solutions of the simplified modified
Camassa-Holm (MCH) equation, a nonlinear fractional partial differential equation, is …

In this paper, an advection-diffusion equation with Atangana-Baleanu derivative is
considered. Cauchy and Dirichlet problems have been described on a finite interval. The …

This paper studies the steady-state heat transfer through a functionally graded plate in
ultrahigh temperature environment. The thermal conductivity is assumed to be temperature …

This book is an invaluable resource for applied researchers to find the analytical solution of
differential equations describing the dynamical system with less computational effort and …

In this paper, a new analysis of nonlinear modified Boussinesq-Burger equation is revisited
via optimal perturbation iteration technique. We first consider artificial parameters and …

This study investigates the magnetohydrodynamic flow and heat transfer between two
parallel disks, considering suction and injection effects at the disks. The governing …

In this work, we proposed a new method called Laplace–Padé–Caputo fractional reduced
differential transform method (LPCFRDTM) for solving a two‐dimensional nonlinear time …