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

Zanariah bt Abdul Majid, and Mohamed bin Suleiman, and Fudziah bt Ismail, and Mohamed bin Othman, (2003) 2-Point Implicit Block One-Step Method Half Gauss-Seidel For Solving First Order Ordinary Differential Equations. Matematika, 19 (2). pp. 91-100. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/200319202.pdf

Affiliations

Universiti Putra Malaysia, Faculty of Science and Environmental Studies, Dept. of Mathematics
Universiti Putra Malaysia, Faculty of Science and Environmental Studies, Dept. of Mathematics
Universiti Putra Malaysia, Faculty of Science and Environmental Studies, Dept. of Mathematics
Universiti Putra Malaysia, Faculty of Computer Science and Information Technology, Communication Technology and Network Department

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).

Item Type:Journal
Keywords:Block Method, One-Step Method, Ordinary Differential Equations
Subjects:Q Science, Computer Science
ID Code:5735

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