Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations

DOI10.1016/j.cam.2019.03.015zbMath1415.65203OpenAlexW2923851573WikidataQ128128466 ScholiaQ128128466MaRDI QIDQ2000632

Jiwei Zhang, Chengchao Zhao, Zhanwen Yang

Publication date: 28 June 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.03.015

zbMATH Keywords

global existenceblowupfinite difference methodsparabolic integro-differential equationslinearly implicit Euler method

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Integro-partial differential equations (35R09)

Related Items (8)

High-order blended compact difference schemes for the 3D elliptic partial differential equation with mixed derivatives and variable coefficients ⋮ Stochastic heat equation: numerical positivity and almost surely exponential stability ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations ⋮ Numerical analysis of a linearly backward Euler method with truncated Wiener process for a stochastic SIS model ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations ⋮ Numerical blow-up analysis of the explicit L1-scheme for fractional ordinary differential equations

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