Reduction of Some Semi-discrete Schemes for an Evolutionary Equation to Two-Layer Schemes and Estimates for the Approximate Solution Error

Autor: J. Rogava, David Gulua, Romeo Galdava
Rok vydání: 2017
Předmět:
Zdroj: Lie Groups, Differential Equations, and Geometry ISBN: 9783319621807
DOI: 10.1007/978-3-319-62181-4_10
Popis: In the paper, using the perturbation algorithm, purely implicit three-layer and four-layer semi-discrete schemes for an abstract evolutionary equation are reduced to two-layer schemes. The solutions of these two-layer schemes are used to construct an approximate solution of the initial problem. By using the associated polynomials the estimates for the approximate solution error are proved.
Databáze: OpenAIRE