Construction of optimal difference formula in the Hilbert space

Авторы

  • Aziz Boltaev International Nordic University

Ключевые слова:

initial problem, multi-step method, optimal difference formula

Аннотация

In this paper, we consider the problem of constructing new optimal difference formulas for finding an approximate solution of the initial problem for an ordinaryclifferential equation in a Hilbert space $W_2^{(2,0)} (0,1)$. First, we study the construction of an
optimal Adams-Bashforth-type explicit difference formula in the Hilbert space W_2^{(2,0)} (0,1).

Загрузки

Опубликован

2024-12-19

Выпуск

Раздел

Исследовательские статьи