Страница публикации

Multistep method for solving degenerate integral-differential equations

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Bulatov M.V., Tien T.D.

Журнал: Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software

Язык публикации: english

Том: 7

Номера страниц: 93-106

Количество страниц: 14

Номер: 3

Год публикации: 2014

Отчетный год: 2014

DOI: 10.14529/mmp140310

Аннотация: In this work we consider the linear integral-differential equations of the fist order with the identically singular matrix at the derivative. For these systems, the initial conditions is given and assumed consistent with the right part. Considered tasking in this paper arise in the mathematical modeling of complex electric circuits. By using the apparatus of matrix polynomials a class of problems, which having a unique solution, is marked out. The difficulties of the numerical solution of such problems, in particular the instability of many implicit methods is considered. For numerical solution of this class of problems we have suggested multistep methods, which are based on an explicit quadrature formula for the integral term Adams and extrapolation formulas. Sufficient conditions for the convergence of such algorithms to the exact solution is formulated.

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет