Solving the fuzzy time-fractional Klein-Gordan equation using the combination of finite difference and fractional differential transform methods

Articles in Press

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Sistan and Baluchestan, Zahedan, Iran.

2 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In this paper, a hybrid method is presented to solve the fuzzy time-fractional Klein-Gordan equation. This method is a combination of finite difference and fractional differential transform methods. In this way, using the semi-discretization technique, the lower branch of the fuzzy Klein-Gordan equation is converted to a system of ordinary differential equations. Then, the obtained system of differential equations is solved by the fractional differential transform method, and the solution of the lower branch is obtained. Finally, by using the same procedure for the upper branch, the approximate solution of the upper branch, and the approximate solution of the fuzzy fractional Klein-Gordan equation is obtained. The convergence is examined, also, the efficiency and accuracy of this method are approved by solving some examples using the proposed method. Also, the CPU time shows the computational cost of this algorithm is low.

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Soft Computing Journal

Articles in Press, Accepted Manuscript
Available Online from 23 July 2024

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History

  • Receive Date: 02 October 2023
  • Revise Date: 26 February 2024
  • Accept Date: 10 March 2024

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