Numerical solving of partial differential equations with heredity and nonlinearity in the differential operator

DOI10.33048/SEMI.2019.16.110zbMath1428.65007OpenAlexW2996526368MaRDI QIDQ2334791

T. V. Gorbova, Svyatoslav I. Solodushkin, Vladimir G. Pimenov

Publication date: 7 November 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.110

zbMATH Keywords

time delaypartial differential equationnonlinear difference schemeconvergence of the difference scheme

Mathematics Subject Classification ID

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)

Cites Work

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• Theory and applications of partial functional differential equations
• A nonstandard finite difference scheme for a nonlinear Black-Scholes equation
• First order partial differential equations with time delay and retardation of a state variable
• General linear methods for the numerical solution of functional-differential equations

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