Solution of Second Order Ordinary Differential Equations by Direct Diagonally Implicit Block Methods

Nooraini Zainuddin (), Zarina Bibi Ibrahim (), Mohamed Suleiman (), Khairil Iskandar Othman and Yong Faezah Rahim ()
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Nooraini Zainuddin: Universiti Putra Malaysia, Institute for Mathematical Research, Department of Mathematics, Faculty of Science
Zarina Bibi Ibrahim: Universiti Putra Malaysia, Institute for Mathematical Research, Department of Mathematics, Faculty of Science
Mohamed Suleiman: Universiti Putra Malaysia, Institute for Mathematical Research, Department of Mathematics, Faculty of Science
Khairil Iskandar Othman: UiTM Malaysia, Department of Mathematics, Faculty of Computer and Mathematical Sciences
Yong Faezah Rahim: Universiti Putra Malaysia, Institute for Mathematical Research, Department of Mathematics, Faculty of Science

A chapter in International Conference on Mathematical Sciences and Statistics 2013, 2014, pp 111-117 from Springer

Abstract: Abstract This paper presents a diagonally implicit method for directly solving stiff second-order ordinary differential equations (ODEs) which produce a block of two new values at each step of application. The formulation of the method is described. Numerical results are given to demonstrate the efficiency of the proposed method.

Keywords: Second-order Ordinary Differential Equation; Block Method; Stiff ODEs; Second-order ODEs; Newton-type Scheme (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-4585-33-0_12

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DOI: 10.1007/978-981-4585-33-0_12

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