On a Comparison of Several Numerical Integration Methods for Ordinary Systems of Differential Equations

Autor:	Anatoliy G. Korotchenko, Valentina M. Smoryakova
Rok vydání:	2020
Předmět:	Integration interval Differential equation Process (engineering) Computer science A priori and a posteriori Fixed interval Applied mathematics Numerical integration Fourth order method
Zdroj:	Lecture Notes in Computer Science ISBN: 9783030406158 NUMTA (2)
DOI:	10.1007/978-3-030-40616-5_37
Popis:	The paper considers the numerical integration methods for ordinary systems of differential equations in which the end of the integration interval is a priori undefined but is defined during the integration process instead. Moreover, the calculation of right hand sides of such systems is an expensive procedure. The paper describes a new integration strategy based on an implicit fourth order method. The proposed strategy employs the behavior of obtained solution to control the integration process. In addition, the number of integration nodes selected by the mentioned method is minimal at every fixed interval under the limitations defined by the local error which results from the approximation of system derivatives.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3c621fbe8ab3881392ce468a916faf1c https://doi.org/10.1007/978-3-030-40616-5_37 Zobrazit plný text záznamu