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Convergence of the Variable Order and Variable Stepsize Direct Integration Methods for the Solution of the Higher Order Ordinary Differential Equations


Citation

Suleiman, Mohamed (1985) Convergence of the Variable Order and Variable Stepsize Direct Integration Methods for the Solution of the Higher Order Ordinary Differential Equations. Pertanika, 8 (1). pp. 59-66.

Abstract

The DI methods for directly solving a system ofa general higher order ODEs are discussed. The convergence of the constant stepsize and constant order formulation of the DI methods is proven first before the convergence for the variable order and stepsize case.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Environmental Studies
Keywords: Convergence; higher order ordinary differential equations (ODEs); Direct Integration (DI) methods; predicted and corrected values; integration coefficients; variable order and stepsize.
Depositing User: Nur Izzati Mohd Zaki
Date Deposited: 12 Nov 2009 04:29
Last Modified: 27 May 2013 07:00
URI: http://psasir.upm.edu.my/id/eprint/2295
Statistic Details: View Download Statistic

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