In this article a non-standard finite difference collocation method is developed with the help
of Fibonacci polynomial to solve the coupled type fractional order Burgers' equation. To …

This paper declares a new spectral collocation technique to provide accurate approximate
solutions of the one-and two-dimensional time and space fractional coupled Burgers' …

The Burgers' equation is one of the nonlinear partial differential equations that has been
studied by many researchers, especially, in terms of the fractional derivatives. In this article …

This paper is concerned with the numerical solution of the time fractional coupled Burgers'
equation. The proposed hybrid solution is based on Chebyshev collection method for space …

In this study, a relatively new method to solve partial differential equations (PDEs) called the
fractional reduced differential transform method (FRDTM) is used. The implementation of the …

Most complex physical phenomena are described by non-linear Burgers' equations, which
help us understand them better. This article uses the transformation and the fractional …

In this article, a numerical technique based on polynomials is proposed for the solution of
one and two-dimensional time-fractional Burgers equation. First, the given problem is …

In present paper, we propose tailored finite point method (TFPM) based on exponential
basis for solving two-dimensional time fractional Burgers equation. We use the L1 and L1-2 …

Due to the nonlinearity and fractional order of equation, there are a few efficient numerical
methods in the literature with stability and convergence analysis for the solution of nonlinear …

In this paper, we investigate the exact and numerical solutions of the time fractional Burgers'
equation. By using Cole–Hopf transformation and the method of variables separation, the …