A Seven-Step Block Multistep Method for the Solution of First Order Stiff Differential Equations

  • Solomon Gebregiorgis Jimma University
  • Hailu Muleta Jimma University
Keywords: Power series; Collocation; Interpolation; Block method; Stiff.

Abstract

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.

Author Biographies

Solomon Gebregiorgis, Jimma University

Department of Mathematics, Faculty of Natural Sciences, Jimma University, Ethiopia 

Hailu Muleta, Jimma University

Department of Mathematics, Faculty of Natural Sciences, Jimma University, Ethiopia     

Published
2020-04-30
Section
Research Paper

Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X