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 …

A decatic B‐spline collocation technique is employed to compute the numerical result of a
nonlinear Burgers' equation. The nonlinear term of Burgers' equation is locally linearized …

In this paper, an optimization method based on the generalized polynomials (GPs) as the
basis functions is proposed for solving the variable-order time fractional Burgers' equation (V …

The article is devoted to the numerical simulation of a nonlinear wave in a dissipative
nondispersive medium described by the Burgers equation. Numerical solution of the …

An efficient and accurate hybrid radial basis function (HRBF) method is proposed to
numerically solve the quasi-linear viscous Burgers' equation. Two different RBFs are …

Purpose The purpose of this paper is to present a new cubic B-spline (CBS) approximation
technique for the numerical treatment of coupled viscous Burgers' equations arising in the …

This paper introduces new fully implicit numerical schemes for solving 1D and 2D unsteady
Burgers' equation. The non-linear Burgers' equation is discretized in the spatial direction by …

In this article, we introduce a new, simple, and accurate computational technique for one‐
dimensional Burgers' equation. The idea behind this method is the use of polynomial based …

Most of the existing numerical schemes developed to solve Burgers' equation cannot exhibit
its correct physical behavior for very small values of viscosity. This difficulty can be overcome …

In the present paper, a high-order finite volume compact scheme is proposed to solve one
dimensional Burgers' equation. The nonlinear advective terms are computed by the fifth …