Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives

Abstract

Purpose

This paper aims to directly extend the homotopy perturbation method to study the coupled Burgers equations with time‐ and space‐fractional derivatives.

Design/methodology/approach

The realistic numerical solutions were obtained in a form of rapidly convergent series with easily computable components.

Findings

The figures show the effectiveness and good accuracy of the proposed method.

Originality/value

The paper obtains realistic numerical solutions in a form of rapidly convergent series with easily computable components. It shows the effectiveness and good accuracy of the proposed method.

Citation

Yıldırım, A. and Kelleci, A. (2010), "Homotopy perturbation method for numerical solutions of coupled Burgers equations with time‐ and space‐fractional derivatives", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 8, pp. 897-909. https://doi.org/10.1108/09615531011081423