2-Point Implicit Block One-Step Method Half Gauss-Seidel For Solving First Order Ordinary Differential Equations

Authors

  • Zanariah Abdul Majid
  • Mohamed Suleiman
  • Fudziah Ismail
  • Mohamed Othman

DOI:

https://doi.org/10.11113/matematika.v19.n.505

Abstract

In this paper, a 2 point implicit block one-step method for solving a system of ordinary differential equations (ODEs) using variable step size is developed. This method will estimate the solutions of initial value problems at 2 point simultaneously based on equidistant block method. Numerical results are given to compare the efficiency of the new method and that of the 2 point implicit block one-step method by Rosser (1967). Keywords: Block Method; One-Step Method; Ordinary Differential Equations

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Published

01-12-2003

Issue

Volume 19 (December 2003)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

2-Point Implicit Block One-Step Method Half Gauss-Seidel For Solving First Order Ordinary Differential Equations. (2003). MATEMATIKA, 19, 91–100. https://doi.org/10.11113/matematika.v19.n.505