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All Journal International Journal of Electrical and Computer Engineering
Heba Shuker Mahmmood
University of Mosul
Computer Science & IT Electrical & Electronics Engineering

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Algorithm for solving fractional partial differential equations using homotopy analysis method with Pade approximation Kais Ismail Ibraheem; Heba Shuker Mahmmood
International Journal of Electrical and Computer Engineering (IJECE) Vol 12, No 3: June 2022
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v12i3.pp3335-3342

Abstract

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.
Co-Authors Kais Ismail Ibraheem