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Direct two point block one-step method for solving general second order ordinary differential equations.

Abdul Majid, Zanariah and Mokhtar, Nur Zahidah and Suleiman, Mohamed (2012) Direct two point block one-step method for solving general second order ordinary differential equations. Mathematical Problems in Engineering, 2012 (184253). pp. 1-16. ISSN 1024-123X

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Abstract

A direct two-point block one-step method for solving general second-order ordinary differential equations (ODEs) directly is presented in this paper. The one-step block method will solve the second-order ODEs without reducing to first-order equations. The direct solutions of the general second-order ODEs will be calculated at two points simultaneously using variable step size. The method is formulated using the linear multistep method, but the new method possesses the desirable feature of the one-step method. The implementation is based on the predictor and corrector formulas in the P E (C E) m mode. The stability and precision of this method will also be analyzed and deliberated. Numerical results are given to show the efficiency of the proposed method and will be compared with the existing method.

Item Type:Article
Keyword:Highre order odes; Block method; Direct solution
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2012/184253
ID Code:25027
Deposited By: Nur Farahin Ramli
Deposited On:01 Aug 2013 11:54
Last Modified:30 Jun 2016 13:18

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