David Gulua
abstract:
The paper presents the study of the Cauchy problem for an evolutionary equation
with a self-adjoint positive definite operator. Using the perturbation
algorithm, the purely implicit multi-layer semi-discrete solution scheme is
reduced to two-layer schemes. Solutions of the latter schemes are used for
constructing an approximate solution of the original problem. The estimate of
the approximate solution error is given.
Mathematics Subject Classification: 65J08, 65M12, 65M15, 65M55
Key words and phrases: Evolutionary problem, semi-discrete scheme, multi-layer scheme, perturbation algorithm