Parallel Solver for Oscillatory Stiff Systems of ODEs
No Thumbnail Available
Date
Journal Title
Journal ISSN
Volume Title
Publisher
WSEAS Press
Abstract
Description
The aim of this study will be to design Parallel solver (PS) for oscillatory stiff systems of ordinary
differential equations (ODEs). PS will be constructed via a type of specially transformed exponentially fitted
multinomial approximant in accordance with the behaviour of the solution. The method of interpolation and
collocation will be utilized. The principal local truncation errors of PS will be used to derive a suitable step size
and decide the error tolerance criteria for establishing the convergence of PS. Some examples of stiff ODEs
will be examined and compared with existing methods to show case the efficiency and accuracy of the scheme.
Parallel solver will be seen as a unique model for solving stiff ODEs without dependent on absolute stability as
required by
Keywords
Q Science (General)