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

How to Cite

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

Issue

Volume 19 (December 2003)

Section

Mathematics

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.