Solution of fractional Burgers' equation using advanced differential quadrature method

Abstract

This manuscript is an attempt to solve the fractional Burgers' equation using the differential quadrature method with a hybrid cubic modified B-spline. We have used fourth-order difference approximations to discretize time-fractional Riemann-Liouville derivative and differential quadrature to approximate the space derivatives. The mentioned technique is verified on three examples and results are compared with exact solutions and the solution obtained by the differential quadrature method employing Lagrange polynomial with Chebyshev-Gauss-Lobatto (CGL) points. The obtained results are presented as tables and figures. The stability of the obtained system is verified using the concept of spectral radius and the numerical error is analyzed using the interpolation technique.