In this paper, we develop the analytical solution of the Navier-Stokes equations for a semi-infinite rectangular channel with porous and uniformly expanding or contracting walls by employing the homotopy perturbation method (HPM). The series solution of the governing problem is obtained. Some examples have been included. The results so obtained are compared with the existing literature and a remarkable improvement leads to an excellent agreement with the numerical results.
Purpose -The purpose of this paper is to directly extend the homotopy perturbation method (HPM) that was developed for integer-order differential equation, to derive explicit and numerical solutions of the fractional KdV-Burgers-Kuramoto equation. Design/methodology/approach -The authors used Maple Package to calculate the functions obtained from the HPM. Findings -The fractional derivatives are described in the Caputo sense. HPM performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability. Originality/value -The paper describes how the HPM has been successfully applied to find the solution of fractional KdV-Burgers-Kuramoto equation.
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