Numerical solving of multi-term time fractional diffusion-wave equations using shifted Gegenbauer spectral collocation method

	Numerical solving of multi-term time fractional diffusion-wave equations using shifted Gegenbauer spectral collocation method
Computational Methods for Differential Equations
مقاله 7، دوره 13، شماره 3، مهر 2025، صفحه 815-827 اصل مقاله (354.35 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61509.2660
نویسندگان
Mahboubeh Molavi-Arabshahi^* ؛ Jalil Rashidinia؛ Shiva Tanoomand
School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
چکیده
In this paper, we present a numerical method to approximate the solution of the multi-term time fractional diffusion-wave equation (M-TFDWE). The proposed method represents the solution as a sum of shifted Gegenbauer polynomials (SGPs) with unknown coefficients. By using the operational matrix of fractional integration and integer derivatives based on SGPs, the M-TFDWE is converted into a system of algebraic equations. The convergence analysis of this numerical method is also discussed. Finally, we provide two examples to illustrate the accuracy of the proposed method.
کلیدواژه‌ها
Spectral collocation method؛ Shifted Gegenbauer polynomial؛ Time fractional diffusion wave equation

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