The method of lines for parabolic partial integro-differential equations

DOI10.1216/jiea/1181075666zbMath0763.65101OpenAlexW2089924421MaRDI QIDQ1188400

Jean-Paul Kauthen

Publication date: 13 August 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075666

zbMATH Keywords

convergencenumerical resultsfinite difference methoderror boundmethod of linesimplicit Euler methodlogarithmic matrix normnonlinear Volterra partial integro-differential equations of parabolic type

Mathematics Subject Classification ID

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

Related Items (10)

Runge-Kutta time discretizations of parabolic Volterra integro- differential equations ⋮ AN EFFECTIVE COMPUTATIONAL APPROACH BASED ON HERMITE WAVELET GALERKIN FOR SOLVING PARABOLIC VOLTERRA PARTIAL INTEGRO DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS ⋮ Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations ⋮ Numerical method of lines for evolution functional differential equations ⋮ Chebyshev collocation method for parabolic partial integrodifferential equations ⋮ Method of lines for quasilinear functional differential equations ⋮ A numerical solution of nonlinear parabolic-type Volterra partial integro-differential equations using radial basis functions ⋮ Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations. ⋮ A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays

Cites Work

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• On a nonlinear diffusion system arising in reactor dynamics
• Convergence of method of lines approximations to partial differential equations
• Order of Convergence of One-Step Methods for Volterra Integral Equations of the Second Kind
• Finite element methods for parabolic and hyperbolic partial integro-differential equations
• The Concept of B-Convergence

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