A compact difference scheme for a partial integro-differential equation with a weakly singular kernel

DOI10.1016/j.apm.2014.07.014zbMath1432.65198OpenAlexW1983756080WikidataQ115360471 ScholiaQ115360471MaRDI QIDQ2337225

Man Luo, Da Xu, Li-Mei Li

Publication date: 19 November 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.07.014

zbMATH Keywords

integro-differential equationcompact difference schemeproduct trapezoidal methodsingular weakly kernel

Mathematics Subject Classification ID

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)

Related Items (12)

Analysis of two-level mesh method for partial integro-differential equation ⋮ Two‐dimensional collocation method for generalized partial integro‐differential equations of fractional order with applications ⋮ Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method ⋮ Crank-Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel ⋮ Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel ⋮ A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel ⋮ A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method ⋮ Time two-grid algorithm based on finite difference method for two-dimensional nonlinear fractional evolution equations ⋮ Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation ⋮ A Crank-Nicolson-type compact difference method with the uniform time step for a class of weakly singular parabolic integro-differential equations ⋮ A second-order accurate Crank-Nicolson finite difference method on uniform meshes for nonlinear partial integro-differential equations with weakly singular kernels ⋮ The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory

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