Application of Aboodh Transform Iterative Method for Solving Time – Fractional Partial Differential Equations

  • Gbenga O. Ojo Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematic, TRNC via Mersin 10, Turkey.
  • Nazim I. Mahmudov Eastern Mediterranean University, Faculty of Arts and Sciences, Department of Mathematic, TRNC via Mersin 10, Turkey.
Keywords: Iterative method, Fractional derivative, Partial differential equation, Integral transform, Aboodh transform

Abstract

In this paper, the Aboodh transform iterative method is used to obtain approximate analytical solution of time-fractional partial differential equations. The fractional derivative are considered in Caputo sense, this method is a combination of the Aboodh transform and the new iterative method. Illustrative examples are considered and the comparison between the exact and approximate solutions are presented for different values of alphas. Also, the surface plots are provided in order to comprehend the effect of the fractional order. The major advantage of this method is the reduced computational effort and complexity without involving the tedious calculations of Adomian polynomials. In general, the method is efficient, precise, easy to implement and yield good results.

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Published
2021-04-20
Section
Articles