This article is cited in 13 papers

Differential Equations

Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series

V. P. Radchenko, A. A. Usov

Samara State Technical University

Abstract: The modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are quoted.

Keywords: ordinary differential equations, grid method, Taylor development, closeness, measure of inaccuracy.

UDC: 517.927+519.624

MSC: 34B99

Original article submitted 12/IX/2008
revision submitted – 30/X/2008

DOI: 10.14498/vsgtu646

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