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 …

The present study aims to develop a hybrid scheme using trigonometric cubic B-spline basis
functions with differential quadrature method for solving nonlinear Schrödinger equation in …

An algorithm for the reaction–diffusion system including model problems Brusselator,
Schnakenberg and Gray–Scott is introduced. The integration of the system is managed by …

In this study, a robust hybrid method is used as an alternative method, which is a different
method from other methods for the approximate of the telegraph equation. The hybrid …

In this paper, a refined form of the differential quadrature method is proposed to compute the
numerical solution of one and two-dimensional convection-diffusion Fisher's equation. The …

Abstract In present study, Modified Cubic Hyperbolic B-spline Differential Quadrature
Method is constructed for getting the numerical approximations of 1D and 2D non-linear …

By constructing a newly modified cubic B-splines having the optimal accuracy order four, we
propose a numerical scheme for solving the hyperbolic telegraph equation using a …

We present a method viz.“exponential modified cubic B-spline differential quadrature
method (Expo-MCB-DQM)” to approximate the numerical solution of 2D and 3D convection …

A discussion of numerical results for 1 D and 2 D Hyperbolic Telegraph equations is primary
objective of this paper. In this article, Hyperbolic Telegraph equation is addressed using …

This paper endeavors to compute the soliton solution for the sine-Gordon (SG) equation
using a hybrid numerical method. The present method has been developed using a …