Numerical Approach for Solving Two-Dimensional Time-Fractional Fisher Equation via HABC-N Method

For the two-dimensional time-fractional Fisher equation (2D-TFFE), a hybrid alternating band Crank-Nicolson (HABC-N) method based on the parallel finite difference technique is proposed. The explicit difference method, implicit difference method, and C-N difference method are used simultaneously wit...

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Vydané v:	Communications on Applied Mathematics and Computation (Online) Ročník 7; číslo 1; s. 315 - 346
Hlavní autori:	Liu, Ren, Wu, Lifei
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Singapore Springer Nature Singapore 01.02.2025
Predmet:	Applications of Mathematics Computational Science and Engineering Mathematics Mathematics and Statistics Original Paper Convergence order Parallel computing 65M06 (Finite difference methods for initial value and initial-boundary value problems involving PDEs) 65M12 (Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs) Unconditional stability Two-dimensional time-fractional Fisher equation (2D-TFFE) Hybrid alternating band Crank-Nicolson (HABC-N) method 65Y05 (Parallel numerical computation)
ISSN:	2096-6385, 2661-8893
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