In this paper, we propose a powerful modification of the homotopy perturbation method that
will accelerate the rapid convergence of series solution. The modified method is employed …

In this paper, the system of two-dimensional Burgers' equations are solved by local
discontinuous Galerkin (LDG) finite element method. The new method is based on the two …

This paper deals with the numerical solutions of one dimensional time dependent coupled
Burgers' equation with suitable initial and boundary conditions by using Chebyshev …

This paper deals with an approximate analytical solution of multi-dimensional, time-
fractional coupled viscous Burgers' equation obtained by employing “homotopy perturbation …

In this paper, a coupled Burgers' equation has been numerically solved by a Galerkin
quadratic B‐spline FEM. The performance of the method has been examined on three test …

The steady two-dimensional MHD rotating flow of a second grade past a porous shrinking
surface is investigated. The governing system of partial differential equations is transformed …

The article introduces a combination form of the variation iteration method and the well-
known Laplace transform for finding the solutions of the two-dimensional non-linear coupled …

In this paper, a fourth-order methods of lines (MOL) based on Hopf-Cole transformation is
derived for solving one-dimensional (1D) Burgers' equation by the combinations of singly …

This paper aims to construct a general formulation for the d-dimensional orthogonal
functions and their derivative and product matrices. These matrices together with the Tau …

The aim of this paper is to give a collocation method to solve second-order partial differential
equations with variable coefficients under Dirichlet, Neumann and Robin boundary …