Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel
DOI10.1016/j.cam.2023.115287zbMath1528.65041OpenAlexW4366993226MaRDI QIDQ6137799
Y. Cao, Wenlin Qiu, Mahmoud A. Zaky, Ahmed S. Hendy
Publication date: 4 September 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115287
numerical experimentsgraded meshesstability and convergenceproduct integration rulesemilinear Sobolev-type integro-differential equation
Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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