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 applies the multiquadric (MQ) as a spatial approximation scheme for solving the
nonlinear Burgers' equation. For comparison purposes, a low order explicit finite difference …

In this article, a hybrid numerical scheme based on Euler implicit method, quasilinearization
and uniform Haar wavelets has been developed for the numerical solutions of Burgers' …

In this study, a least-squares quadratic B-spline finite element method for calculating the
numerical solutions of the one-dimensional Burgers-like equations with appropriate …

In the present paper numerical solutions of the one-dimensional Burgers' equation are
obtained by a method based on collocation of cubic B-splines over finite elements. The …

A fourth-order compact finite difference method is proposed in this paper to solve one-
dimensional Burgers' equation. The newly proposed method is based on the Hopf–Cole …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …

This work analyzes singularly perturbed Burgers' model by developing two meshfree
algorithms based on local radial basis function-finite difference approximation. The main …

We compute the solution of the one-dimensional Burgers' equation by marching the solution
in time using a Taylor series expansion. Our approach does not require symbolic …

In the present paper numerical solutions of the one‐dimensional Burger equation are
obtained. The technique of finitely reproducing non‐linearities introduced by Bazley is used …