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

M. Javidi; Bashir Ahmad

doi:10.11948/2015005

2015 Volume 5 Issue 1

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M. Javidi, Bashir Ahmad. NUMERICAL SOLUTION OF FOURTH-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 52-63. doi: 10.11948/2015005

Citation:

M. Javidi, Bashir Ahmad. NUMERICAL SOLUTION OF FOURTH-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 52-63. doi: 10.11948/2015005

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

M. Javidi¹,
Bashir Ahmad²

1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;
2 Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

Abstract

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).
- Fourth-order /
- time-fractional differential equations /
- Laplace transform /
- homotopy perturbation method /
- Stehfest's numerical inversion algorithm
MSC: 26A33;35R11

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References

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