Volume 25 , Issue 3 , PP: 398-416, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Kamel Al-Khaled 1 * , Adel Almalki 2 , Amer H. Darweesh 3 , Amal Sawalmeh 4
Doi: https://doi.org/10.54216/IJNS.250335
In order to solve hyperbolic fractional partial differential equations, this paper develops the Sumudu decomposition method. This method is based on solving time-fractional hyperbolic partial differential equations either individually or in systems using the Sumudu transform. Adomian polynomials whose values are chosen by a specific formula are used to solve the non-linear terms. The developed method’s convergence and stability are discussed. Example such as the shallow water equations, which serve as illustrations of the fractional derivatives as defined by Caputo, is used to show the validity and applicability of the proposed method. It is discovered that the procedure is rapid and precise
Approximate Solutions , Fractional Partial Differential Equation , Adomian Decomposition , Sumudu transform , Shallow Water Equations
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