DOI

In the paper a direct solver for systems of structurally partitioned second order differential equations is proposed. a general scheme of the method algorithmically oriented towards the particular structure of the system is presented. With the last stage reuse (also known as FSAL approach) an embedded pair of sixth and fourth order methods with just six stages is constructed, which provides an easy step-size control. Numerical comparison is made with the well-known Dormand — Prince method 5(4)7F having the same computation cost, showing the advantage of the proposed method.
Translated title of the contributionDirect method for solving systems of second order ordinary differential equations
Original languageRussian
Article number2
Pages (from-to)324–334
Number of pages11
Journal ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ
Volume20
Issue number3
DOIs
StatePublished - 31 Oct 2024

    Scopus subject areas

  • Computational Mathematics

    Research areas

  • Runge — Kutta methods, second order equations, sixth order, structurall partitioned system

ID: 127559368