High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term
DOI10.1007/s10915-024-02641-yzbMATH Open1547.65115MaRDI QIDQ6608113
Jiankang Shi, Minghua Chen, Jianxiong Cao
Publication date: 19 September 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
error estimatefractional evolution equationHadamard finite-part integralhyper-singular source termsmoothing/ID\(m\)-BDF\(k\) method
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) Laplace transform (44A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11)
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