The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

DOI10.1016/J.APNUM.2020.09.011zbMath1459.65189OpenAlexW3088560595WikidataQ112880253 ScholiaQ112880253MaRDI QIDQ2227667

Jing Guo, Da Xu, Wenlin Qiu

Publication date: 15 February 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.09.011

zbMATH Keywords

Toeplitz matrixexponential convergencesinc-Galerkin methodpartial integro-differential equationtrapezoidal convolution quadrature

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical integration (65D30) Toeplitz, Cauchy, and related matrices (15B05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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