This article is cited in 10 papers

An embedded method for the integration of systems of structurally separated ordinary differential equations

A. S. Eremin, I. V. Olemskoĭ

Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, Universitetskii pr. 35, St. Peterburg, 198054 Russia

Abstract: An explicit embedded method of the Dormand–Prince type designed for integrating systems of ordinary differential equations of special form is examined. A family of economical fifth-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed.

Key words: Cauchy problem for systems of ordinary differential equations, embedded method, family of economical fifth-order numerical schemes, Dormand–Prince type methods, Runge–Kutta method.

UDC: 519.634

Received: 22.03.2009
Revised: 29.09.2009

 English version: Computational Mathematics and Mathematical Physics, 2010, 50:3, 414–427

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