Open AccessAlgorithm for solving fractional partial differential equations using homotopy analysis method with Pade approximation
Author(s) -
Kais Ismail Ibraheem,
Heba Shuker Mahmmood
Publication year - 2022
Publication title -
international journal of power electronics and drive systems/international journal of electrical and computer engineering
Language(s) - English
Resource type - Journals
eISSN - 2722-2578
pISSN - 2722-256X
DOI - 10.11591/ijece.v12i3.pp3335-3342
Subject(s) - homotopy analysis method , padé approximant , mathematics , homotopy , partial differential equation , nonlinear system , homotopy perturbation method , mathematical analysis , pure mathematics , quantum mechanics , physics
In recent years nonlinear problems have several methods to be solved and utilize a well-known analytic tools such as homotopy analysis method. In general, homotopy analysis method had gain a wide focus and improvement especially in typical nonlinear problem. The aim of this paper is to use homotopy method of analysis to solve partial differential equation in addition to improve method’s efficiency. The method in this paper is to apply approximation to Pade’ approach to obtain sufficient efficiency. As a result, the improvement has been verified by solving two cases beside a mean value comparison of the homotopy analysis method’s squared error with the improved form.