Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain

DOI10.1007/S10915-016-0179-8zbMath1352.65651OpenAlexW2186105077MaRDI QIDQ333231

Tao Tang, Jiwei Zhang, Hermann Brunner

Publication date: 28 October 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0179-8

zbMATH Keywords

numerical examplefinite differenceinitial boundary value problemfixed point methodfinite time blow-upnonlinear absorbing boundary conditionsunbounded spatial domainsadaptive time-steppingEuler schemesnonlinear parabolic integro-differential PDEunified approach

Mathematics Subject Classification ID

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

Related Items (5)

A class of developed schemes for parabolic integro-differential equations ⋮ Numerical solution of the regularized logarithmic Schrödinger equation on unbounded domains ⋮ Numerical Analysis and Computational Solution of Integro-Differential Equations ⋮ The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions ⋮ Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations

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