An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data
DOI10.1137/22m1512041zbMath1529.65102MaRDI QIDQ6057116
Buyang Li, Unnamed Author, Yan Ping Lin, Shu Ma
Publication date: 25 October 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
contour integralsingularityspectral methodconvolution quadratureexponential integratorgeometric decompositionquadrature approximationsemilinear subdiffusion equationVP means
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30) Fractional partial differential equations (35R11)
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