Open AccessA Seven-Step Block Multistep Method for the Solution of First Order Stiff Differential Equations
Author(s) -
Solomon Gebregiorgis,
Hailu Muleta
Publication year - 2020
Publication title -
momona ethiopian journal of science
Language(s) - English
Resource type - Journals
eISSN - 2220-184X
pISSN - 2073-073X
DOI - 10.4314/mejs.v12i1.5
Subject(s) - collocation (remote sensing) , linear multistep method , mathematics , collocation method , interpolation (computer graphics) , orthogonal collocation , ordinary differential equation , power series , block (permutation group theory) , convergence (economics) , series (stratigraphy) , mathematical analysis , differential equation , computer science , differential algebraic equation , geometry , animation , paleontology , computer graphics (images) , machine learning , economic growth , economics , biology
In this paper, a seven-step block method for the solution of first order initial value problem in ordinary differential equations based on collocation of the differential equation and interpolation of the approximate solution using power series have been formed. The method is found to be consistent and zero-stable which guarantees convergence. Finally, numerical examples are presented to illustrate the accuracy and effectiveness of the method.
Keywords: Power series, Collocation, Interpolation, Block method, Stiff.