Perturbation algorithm for implementing a finite-difference approximation to an abstract evolutionary problem and explicit error estimation of its solution

DOI10.1134/S1064562414030211zbMath1303.65039MaRDI QIDQ471384

D. V. Gulua, Jemal L. Rogava

Publication date: 14 November 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimationfinite difference approximationabstract evolutionary problemperturbation algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

The perturbation algorithm for the realization of a four-layer semi-discrete solution scheme of an abstract evolutionary problem ⋮ Unnamed Item ⋮ Reduction of Some Semi-discrete Schemes for an Evolutionary Equation to Two-Layer Schemes and Estimates for the Approximate Solution Error

Cites Work

• Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
• On improving an approximate solution of a functional equation by deferred corrections
• Semidiscretization in Time for Parabolic Problems
• Stability theory of difference schemes and iterative methods
• Stability in c and Lp of two-layer difference schemes for parabolic equations with variable coefficients
• Accelerating the Convergence of Discretization Algorithms
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