NEW ITERATIVE TRANSFORM METHOD FOR TIME AND SPACE FRACTIONAL (n + 1)-DIMENSIONAL HEAT AND WAVE TYPE EQUATIONS

S. Farid, R. Nawaz, Zahir Shah, Saeed Islam () and Wejdan Deebani
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S. Farid: Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan
R. Nawaz: Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan
Zahir Shah: ��Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
Saeed Islam: Department of Mathematics, Abdul Wali Khan University, Mardan KP, Pakistan
Wejdan Deebani: ��Department of Mathematics, College of Science & Arts, King Abdulaziz University, P.O. Box 344, Rabigh 21911, Saudi Arabia

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-15

Abstract: In this study, we examine and using Laplace Transform as a way to find approximate solutions to multi-dimensional space and time fractional order problems and propose numerical algorithm for solving (n + 1)-dimensional time and space fractional order heat like and time and space fractional wave-like equations. This method is a combination of Laplace Transform and iterative method. The fractional derivative is described in the Caputo sense. The results obtained by proposed scheme are compared with different other schemes. This scheme is found to be very efficient and effective for linear and nonlinear time and space fractional order problems.

Keywords: New Iterative Method; Double; Triple and Quadruple Laplace Transform; Time and Space Fractional Order Heat-Like and Wave-Like Equations (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500560

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