Applied mathematics

Explicit nested methods of integration of systems of structurally separated ordinary differential equations of first and second order

I. V. Olemskoy

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation

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 third-order numerical schemes for integrating systems of structurally separated ordinary differential equations is constructed. Bibliogr. 10. Tabl. 2.

Keywords: embedded method, order, stage.

UDC: 519.62/.642

Received: June 26, 2014

Language: English