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An Iterative method for solving fractional differential equations
Author(s) -
DaftardarGejji Varsha,
Bhalekar Sachin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200701001
Subject(s) - adomian decomposition method , homotopy perturbation method , iterative method , mathematics , advection , partial differential equation , homotopy analysis method , perturbation (astronomy) , decomposition method (queueing theory) , mathematical analysis , homotopy , mathematical optimization , physics , pure mathematics , discrete mathematics , quantum mechanics , thermodynamics
In the present paper non‐linear, time fractional advection partial differential equation has been solved using the new iterative method presented by Daftardar‐Gejji and Jafari [1]. The results are compared with those obtained by Adomian decomposition and Homotopy perturbation methods. It is demonstrated that the new iterative method gives the best approximation among these. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)