Laguerre spectral method for time fractional mixed diffusion-wave equations with weak singularity
Abstract
In this work, the time fractional mixed diffusion-wave equation on an unbounded domain with initial weak singularity is solved numerically. The equation is first transformed into equivalent integral-differential equation. Then we propose a fully discrete scheme based upon Laguerre Galerkin-spectral method in spatial direction and finite difference method on graded meshes in temporal direction. The unconditional stability of the proposed scheme is given. Moreover, the convergence under the regularity of the solution is proved. Numerical results are given to support the theoretical analysis.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Differential Equations and Boundary Problems
Numerical Solvers for Ordinary Differential Equations
Publication details
- Journal / source
- International Journal of Computer Mathematics
- Volume
- 103
- Issue
- 8
- Pages
- 1631–1643
- Publication date
- 5 March 2026
- Language
- EN