This article proposes a variable stepsize implementation of an improved one-step block
method (OBM) that uses two intermediate points to solve Burgers' equation. The model's …

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 …

The main objective of this study is to numerically investigate the dynamical behavior of
nonlinear Fitzhugh–Nagumo and Bateman–Burger systems through the Sinc collocation …

This paper investigates the solitons and breathers wave solutions of the generalized
nonlinear Schrödinger equation (NLGSE) of third order through new generalized …

This paper explores the possibility of solving the one-dimensional Burgers' equation with a
tailored finite point method (TFPM) based on an explicit stencil along with utilizing the Cole …

In this article, an optimization strategy is presented for the numerical solution of Burgers'
equations, which play an important role in estimating and forecasting pollution. The method …

Any expedition in designing numerical methods besides aiming at accuracy, also equally
steers for simplicity and ease in implementation. This paper brings in one such algorithm the …

The novelty of this work rests upon the use of the domain partitioning technique in time
variable when discretizing the domain of solution in spectral collocation algorithm. 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 …

A Uniform Algebraic Hyperbolic (UAH) tension B-spline of fourth order based Differential
quadrature method is developed to tackle the non-linear coupled 2D Burgers' equation, to …