Analysis of a new NFV scheme preserving DMP for two-dimensional sub-diffusion equation on distorted meshes

DOI10.1007/S10915-024-02511-7zbMATH Open1546.65067MaRDI QIDQ6536822

Zhimin Zhang, Xuehua Yang

Publication date: 14 May 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

maximum principlenonlinearfinite volumesub-diffusiondistorted mesh

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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• Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes
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• A BDF3 and new nonlinear fourth-order difference scheme for the generalized viscous Burgers' equation
• A second-order difference scheme for two-dimensional two-sided space distributed-order fractional diffusion equations with variable coefficients

Related Items (3)

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