NUMERICAL SOLUTION OF FOURTH-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS | Zendy

Mohammad Javidi | Zendy; Bashir Ahmad | Zendy

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NUMERICAL SOLUTION OF FOURTH-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Author(s) -

Mohammad Javidi,

Bashir Ahmad

Publication year - 2015

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2015005

Subject(s) - adomian decomposition method , mathematics , laplace transform , homotopy perturbation method , mathematical analysis , decomposition method (queueing theory) , homotopy analysis method , variable (mathematics) , partial differential equation , homotopy , pure mathematics , discrete mathematics

In this paper, a numerical method for fourth-order time-fractional partial differential equations with variable coefficients is proposed. Our method consists of Laplace transform, the homotopy perturbation method and Stehfest's numerical inversion algorithm. We show the validity and efficiency of the proposed method (so called LHPM) by applying it to some examples and comparing the results obtained by this method with the ones found by Adomian decomposition method (ADM) and He's variational iteration method (HVIM).

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