Open AccessA Computational Strategy of Variable Step, Variable Order for Solving Stiff Systems of Ordinary Differential Equations
Author(s) -
J. G. Oghonyon,
P. O. Ogunniyi,
I. F. Ogbu
Publication year - 2021
Publication title -
international journal of analysis and applications
Language(s) - English
Resource type - Journals
ISSN - 2291-8639
DOI - 10.28924/2291-8639-19-2021-929
Subject(s) - variable (mathematics) , mathematics , ordinary differential equation , l stability , interpolation (computer graphics) , function (biology) , basis (linear algebra) , reduction of order , differential equation , mathematical analysis , collocation method , computer science , geometry , biology , animation , computer graphics (images) , evolutionary biology
This research study focuses on a computational strategy of variable step, variable order (CSVSVO) for solving stiff systems of ordinary differential equations. The idea of Newton’s interpolation formula combine with divided difference as the basis function approximation will be very useful to design the method. Analysis of the performance strategy of variable step, variable order of the method will be justified. Some examples of stiff systems of ordinary differential equations will be solved to demonstrate the efficiency and accuracy.