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- Title
Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method.
- Authors
Bonyadi, Samira; Mahmoudi, Yaghoub; Lakestani, Mehrdad; Rad, Mohammad Jahangiri
- Abstract
The paper reports a spectral method for generating an approximate solution for the space-time fractional PDEs with variable coefficients based on the spectral shifted Jacobi collocation method in conjunction with the shifted Jacobi operational matrix of fractional derivatives. The spectral collocation method investigates both temporal and spatial discretizations. By applying the shifted Jacobi collocation method, the problem reduces to a system of algebraic equations, which greatly simplifies the problem. Numerical results are given to establish the validity and accuracy of the presented procedure for space-time fractional PDE.
- Subjects
JACOBI'S condition; PROBLEM solving; EQUATIONS; ALGORITHMS; POLYNOMIALS
- Publication
Computational Methods for Differential Equations, 2023, Vol 11, Issue 1, p81
- ISSN
2345-3982
- Publication type
Article
- DOI
10.22034/cmde.2022.49901.2077