We introduce a numerical method to approximate the solution of the multi-term time fractional diffusion-wave equation (M-TFDWE). In this approach, First the solution is approximated by a sum of the shifted Gegenbauer polynomials (SGP) with unknown coefficients. Then, using the operational matrix of fractional integration and operational matrix of integer derivative based on SGPs, M-TFDWE reduces to a system of algebraic equations. The convergence analysis of the numerical approach is discussed. Finally, two examples are given to show the accuracy of the proposed method.
Molavi-Arabshahi, M. , Rashidinia, J. and Tanoomand, S. (2024). NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.61509.2660
MLA
Molavi-Arabshahi, M. , , Rashidinia, J. , and Tanoomand, S. . "NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD", Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.61509.2660
HARVARD
Molavi-Arabshahi, M., Rashidinia, J., Tanoomand, S. (2024). 'NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2024.61509.2660
CHICAGO
M. Molavi-Arabshahi , J. Rashidinia and S. Tanoomand, "NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD," Computational Methods for Differential Equations, (2024): -, doi: 10.22034/cmde.2024.61509.2660
VANCOUVER
Molavi-Arabshahi, M., Rashidinia, J., Tanoomand, S. NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD. Computational Methods for Differential Equations, 2024; (): -. doi: 10.22034/cmde.2024.61509.2660
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