High-accuracy pseudospectral scheme for fractional diffusion-wave problems based on cardinal functions
Behzad Nemati Saray, Davron Aslonqulovich Juraev, Mohamed Abdalla, Rakib Efendiev, Yahya Almalki, Samad Ahdiaghdam · 2026
Read High-accuracy pseudospectral scheme for fractional diffusion-wave problems based on cardinal functions by Behzad Nemati Saray, Davron Aslonqulovich Juraev, Mohamed Abdalla, Rakib Efendiev, Yahya Almalki, Samad Ahdiaghdam (2026) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/PMC13423055.txt.
Description
Nemati Saray and co-authors present a numerical method for fractional diffusion-wave equations, in this 2026 mathematics paper. Such equations serve when matter keeps its past. Creeping polymers and anomalous spread through porous media are two cases. Standard solvers err more on these problems. They can also be costly to run. So the team built a pseudospectral scheme. Legendre cardinal functions are its building blocks.
They rewrote the equations in integral form. They built direct matrix versions of the fractional derivative and integral operators. That turned the problem into algebra. A quirk of cardinal functions helps here. Each equals one at its own grid point and zero at others. This lets the team compute coefficients without numerical integration. Cost falls sharply. Convergence analysis and test problems showed spectral convergence. Error falls faster than any fixed power as resolution rises. The scheme beat finite difference and collocation rivals in their tests.
Catalog record
| CREATOR | Behzad Nemati Saray, Davron Aslonqulovich Juraev, Mohamed Abdalla, Rakib Efendiev, Yahya Almalki, Samad Ahdiaghdam |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 38 KB |
| LICENSE | https://creativecommons.org/licenses/by/4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |