A fourth-order accurate extrapolation nonlinear difference method for fourth-order nonlinear PIDEs with a weakly singular kernel

DOI10.1007/s40314-024-02812-5MaRDI QIDQ6569089

Xuehua Yang, Hai-xiang Zhang, Caojie Li

Publication date: 8 July 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

extrapolation methodgraded meshesstability and convergenceweakly singularnonlinear partial integrodifferential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Extrapolation to the limit, deferred corrections (65B05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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Related Items (1)

A new linearized ADI compact difference method on graded meshes for a nonlinear 2D and 3D PIDE with a WSK

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