Implicit difference schemes for evolution functional differential equations

DOI10.4171/ZAA/1427zbMath1215.35163MaRDI QIDQ628820

Zdzisław Kamont

Publication date: 7 March 2011

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

functional differential equationsstability and convergenceimplicit difference schemesinterpolating operators

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

On the numerical approximation of viscosity solutions for the differential-functional Cauchy problem ⋮ Difference methods for parabolic equations with Robin condition ⋮ Comparison between some explicit and implicit difference schemes for Hamilton Jacobi functional differential equations

Cites Work

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• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
• Existence of solutions for non-linear systems of differential-functional equations of parabolic type in an arbitrary domain
• Implicit difference methods for parabolic functional differential equations

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