Implicit difference methods for differential functional parabolic equations with Dirichlet's condition

DOI10.4171/ZAA/1487zbMath1302.65198MaRDI QIDQ360707

Lucjan Sapa

Publication date: 27 August 2013

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

zbMATH Keywords

difference methodsstability and convergencenonlinear estimates of the generalized Perron typeparabolic differential functional equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) 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 (2)

Difference methods for parabolic equations with Robin condition ⋮ DIFFERENCE METHODS TO ONE AND MULTIDIMENSIONAL INTERDIFFUSION MODELS WITH VEGARD RULE

Cites Work

• Existence and uniqueness of solutions of infinite systems of semilinear parabolic differential-functional equations in arbitrary domains in ordered Banach spaces.
• Differential-functional inequalities of parabolic type in unbounded regions
• On the Uniqueness of Solutions to a Parabolic System of Differential-Functional Equations

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