Homotopy analysis transform algorithm to solve time-fractional foam drainage equation

Author:

Singh Mukesh,Naseem Mohd,Kumar Amit,Kumar Sunil

Abstract

AbstractThis paper emphasizes on finding the solution for a foam drainageequation using the technique of modified homotopy analysis transform method (MHATM). MHATM is a new amalgamation of the homotopy analysis method and Laplace transform method with homotopy polynomial. Comparisons are made between the results of the proposed method for different values of fractional derivative α and exact solutions. Then, we analyze the results by numerical simulations, which demonstrate the simplicity and effectiveness of the present method.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

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