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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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A New Method for Solving the Cauchy Problem for Systems of Ordinary Differential Equations

Volume 46, Numéro 9, 2014, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v46.i9.10
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RÉSUMÉ

A new method for finding an approximate solution of the Cauchy problem for systems of linear ordinary differential equations is proposed. The approximate solution is represented as a linear combination of the elements of a system of linearly independent functions. The unknown constants of expansion into a series are found from the condition of the best approximation of the right-hand sides of the differential equations of the system (by the norm L2 [0, 1]) and their derivatives (by the norm W2 [0, 1]), using the indicated system of linearly independent functions. Examples are given.

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