Volume 26 , Issue 2 , PP: 192-203, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Maryam Almutairi 1 , Norazrizal Aswad bin Abdul Rahman 2 *
Doi: https://doi.org/10.54216/IJNS.260214
Fuzzy fractional partial differential equations have become a powerful approach to handle uncertainty or imprecision in real-world modeling problems. In this article, two compact finite difference schemes, the compact Crank-Nicolson and the compact center time center space methods, were developed and used to obtain a numerical solution for fuzzy time fractional wave equations in the double parametric form. The principles of fuzzy set theory are utilized to perform a fuzzy analysis and formulate the proposed numerical schemes. The Caputo formula is used to define the time-fractional derivative considered. The stability of the proposed schemes is analyzed by means of the Von Neumann method. To illustrate the practicality of the numerical methods, a specific numerical instance was performed. The outcomes were showcased through tables and figures, revealing the efficacy of the schemes in terms of accuracy and their ability to decrease computational expenses.
Compact finite difference methods , Fuzzy Caputo formula , Double parametric form , Fuzzy time fractional wave equation
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