A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

This paper is concerned with establishing novel expressions that express the derivative of
any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in …

In this paper, the authors developed a new differential quadrature method" exponential
modified cubic B-spline differential quadrature method (Expo-MCB-DQM)” by using …

The present paper uses a relatively new approach and methodology to solve second order
two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline …

In this paper, a class of high-order compact difference method is introduced for solving the
Burgers' equations. Firstly, a linear high-order compact difference scheme is proposed to …

This article aims to obtain the numerical solution of nonlinear Burgers' equation in one and
two dimensions using hybrid trigonometric differential quadrature method. Simulating five …

In this paper, a numerical solution of two dimensional nonlinear coupled viscous Burger
equation is discussed with appropriate initial and boundary conditions using the modified …

In this paper, the Korteweg-de Vries-Burgers'(KdVB) equation is solved numerically by a
new differential quadrature method based on quintic B-spline functions. The weighting …

In this article, a numerical solution of generalized Burgers–Huxley (gBH) equation is
approximated by using a new scheme: modified cubic B-spline differential quadrature …