TY - JOUR
T1 - Explicit-Implicit Splitting Schemes for Some Systems of Evolutionary Equations
AU - Gaspar , F.
AU - Grigoriev , A.
AU - Vabishchevich , P.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 346
EP - 357
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/530.html
KW - Evolutionary problem, splitting scheme, stability of operator-difference schemes, additive operator-difference schemes.
AB - <p style="text-align: justify;">In many applied problems, the individual components of the unknown vector are
interconnected and therefore splitting schemes are applied in order to get a simple problem for
evaluating unknowns at a new time level. On the basis of additive schemes (splitting schemes),
there are constructed efficient computational algorithms for numerical solving the initial value
problems for systems of time-dependent PDEs. The present paper deals with computational
algorithms that are based on using explicit-implicit approximations in time. Typically, additive
operator-difference schemes for systems of evolutionary equations are constructed for operators
that are coupled in space. Here we investigate more general problems, where we have coupling of
derivatives in time for components of the solution vector.</p>