An A(α)-Stable Method for Solving Initial Value Problems of Ordinary Differential Equations
No Thumbnail Available
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Pushpa Publishing House
Abstract
Description
An A(α)-stable implicit one step hybrid method for the numerical
approximation of solutions of initial value problems of general second
order ordinary differential equations is proposed. The method is
developed by interpolation and collocation of a power series
approximate solution and implemented as simultaneous integrators via
block method. The stability and convergence of the methods are
determined. Numerical experiments are conducted on sample problems
and the absolute error estimates of the results are presented.
Keywords
QA Mathematics