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

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.

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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.

Item Type:Article
Keyword:Convergence; higher order ordinary differential equations (ODEs); Direct Integration (DI) methods; predicted and corrected values; integration coefficients; variable order and stepsize.
Faculty or Institute:Faculty of Environmental Studies
ID Code:2295
Deposited By: Nur Izzati Mohd Zaki
Deposited On:12 Nov 2009 04:29
Last Modified:27 May 2013 07:00

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