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 …

In this paper, we present fourth-order finite difference method for solving nonlinear one-
dimensional Burgers' equation. This method is unconditionally stable. The convergence …

In the present paper, a comprehensive review of the different techniques used for solving the
Burgers equation has been presented along with the recent progress going in finding its …

A numerical solution of the one-dimensional Burgers' equation is obtained using a sixth-
order compact finite difference method. To achieve this, a tridiagonal sixth-order compact …

In this work, high order splitting methods have been used for calculating the numerical
solutions of Burgers' equation in one space dimension with periodic, Dirichlet, Neumann …

In this paper, a Galerkin quadratic B-spline finite element method is used to solve
numerically the one-dimensional Burgers' equation reduced by the Hopf–Cole …

A fourth‐order compact finite‐difference method is proposed in this paper to solve the
system of two‐dimensional Burgers' equations. The new method is based on the two …

The Haar wavelet based discretization method for solving differential equations is
developed. Nonlinear Burgers equation is considered as a test problem. Both, strong and …

In this paper, the system of two-dimensional Burgers' equations are solved by local
discontinuous Galerkin (LDG) finite element method. The new method is based on the two …

The two-dimensional Burgers' equation is a mathematical model to describe various kinds of
phenomena such as turbulence and viscous fluid. In this paper, Crank-Nicolson finite …