An analytical approach for Shehu transform on fractional coupled 1D, 2D and 3D Burgers’ equations

Abstract

Abstract Obtaining the numerical approximation of fractional partial differential equations (PDEs) is a cumbersome task. Therefore, more researchers regarding approximated-analytical solutions of such complex-natured fractional PDEs (FPDEs) are required. In this article, analytical-approximated solutions of the fractional-order coupled Burgers’ equation are provided in one-, two-, and three-dimensions. The proposed technique is named as Iterative Shehu Transform Method (ISTM). The simplicity and accurateness of the method are affirmed through five examples. Graphical representation and tabular discussion are provided to compare the exact and approximated results. The robustness of the proposed regime is also validated by error analysis. In the present work, approximated and exact solutions are compared to verify the validity of the proposed scheme. Error analysis is also provided through which the efficiency of the proposed scheme can be assured. Obtained errors are lesser than the compared results.