Construction of optimal difference formula in the Hilbert space
Keywords:
initial problem, multi-step method, optimal difference formulaAbstract
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).
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Copyright (c) 2024 Aziz Boltaev
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