Numerical solving of multi-term time fractional diffusion-wave equations using shifted Gegenbauer spectral collocation method
نویسندگان
1 School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
2 School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
3 School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran 16844, Iran.
doi
10.22034/cmde.2024.61509.2660چکیده
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.
