Optimal convergence of an Euler and finite difference method for nonlinear partial integro-differential equations

DOI10.1016/0895-7177(95)00066-BzbMath0828.65148OpenAlexW2050143958MaRDI QIDQ1894073

Yanyan Li

Publication date: 15 January 1996

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00066-b

zbMATH Keywords

convergenceinitial-boundary value problemfinite difference methodnumerical examplesEuler methodnonlinear partial integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

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A predictor-corrector compact finite difference scheme for a nonlinear partial integro-differential equation ⋮ A Crank-Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity ⋮ The Finite Difference Methods for Fractional Ordinary Differential Equations ⋮ Numerical approaches to fractional calculus and fractional ordinary differential equation ⋮ Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity ⋮ A second-order accurate Crank-Nicolson finite difference method on uniform meshes for nonlinear partial integro-differential equations with weakly singular kernels

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