a hybrid natural transform homotopy perturbation method for solving fractional partial differential equations

Clicks: 120
ID: 258832
2016
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Ranked #21 of 42 articles by views in Biological reviews of the Cambridge Philosophical Society

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Abstract
A hybrid analytical method for solving linear and nonlinear fractional partial differential equations is presented. The proposed analytical approach is an elegant combination of the Natural Transform Method (NTM) and a well-known method, Homotopy Perturbation Method (HPM). In this analytical method, the fractional derivative is computed in Caputo sense and the nonlinear term is calculated using He’s polynomial. The proposed analytical method reduces the computational size and avoids round-off errors. Exact solution of linear and nonlinear fractional partial differential equations is successfully obtained using the analytical method.
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maitama2016internationala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Shehu Maitama
Journal Biological reviews of the Cambridge Philosophical Society
Year 2016
DOI
10.1155/2016/9207869
URL
http://dx.doi.org/10.1155/2016/9207869
Keywords
mathematics

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