The coupled viscous Burgers' equations have been an interesting and hot topic in
mathematics and physics for a long time, and they have been solved by many methods. In …

In the present paper, an extended algebraic method is used for constructing exact traveling
wave solutions for some coupled nonlinear evolution equations. By implementing the direct …

In this article, two new modified variational iteration algorithms are investigated for the
numerical solution of coupled Burgers' equations. These modifications are made with the …

This paper introduces two new modified fourth-order exponential time differencing Runge–
Kutta (ETDRK) schemes in combination with a global fourth-order compact finite difference …

In this work, a composite numerical scheme based on finite difference and Haar wavelets is
proposed to solve time dependent coupled Burgers' equation with appropriate initial and …

In this paper, a collocation finite difference scheme based on new cubic trigonometric B-
spline is developed and analyzed for the numerical solution of a one-dimensional …

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 …

We propose a polynomial-based numerical scheme for solving some important nonlinear
partial differential equations (PDEs). In the proposed technique, the temporal part is …

A numerical investigation of the coupled viscous Burgers' equation for very large Reynolds
numbers do not exist in the literature. Coupled viscous Burgers' equations are solved …

In this work, we discuss collocation method based on redefined cubic B-splines basis
functions for solving convection–diffusion equation with Dirichlet's type boundary conditions …