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

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International Conference on Mathematical Sciences and Statistics 2013

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.

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Acknowledgments

The authors would like to thank the editor and referee for their suggestion for improving this manuscript.

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Authors and Affiliations

  1. Institute for Mathematical Research, Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400, Serdang, Selangor, Malaysia

    Nooraini Zainuddin, Zarina Bibi Ibrahim, Mohamed Suleiman & Yong Faezah Rahim

  2. Department of Mathematics, Faculty of Computer and Mathematical Sciences, UiTM Malaysia, 40450, Shah Alam, Selangor, Malaysia

    Khairil Iskandar Othman

  3. Fundamental and Applied Sciences Department, Universiti Teknologi Petronas, 31750 Tronoh, Perak Darul Ridzuan, Malaysia

    Nooraini Zainuddin

Authors
  1. Nooraini Zainuddin
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  2. Zarina Bibi Ibrahim
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  3. Mohamed Suleiman
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  4. Khairil Iskandar Othman
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  5. Yong Faezah Rahim
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Corresponding author

Correspondence to Zarina Bibi Ibrahim .

Editor information

Editors and Affiliations

  1. University Putra Malaysia, Serdang, Selangor, Malaysia

    Adem Kilicman

  2. University Putra Malaysia, Serdang, Selangor, Malaysia

    Wah June Leong

  3. University Putra Malaysia, Serdang, Selangor, Malaysia

    Zainidin Eshkuvatov

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© 2014 Springer Science+Business Media Singapore

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Zainuddin, N., Ibrahim, Z., Suleiman, M., Othman, K., Rahim, Y. (2014). Solution of Second Order Ordinary Differential Equations by Direct Diagonally Implicit Block Methods. In: Kilicman, A., Leong, W., Eshkuvatov, Z. (eds) International Conference on Mathematical Sciences and Statistics 2013. Springer, Singapore. https://doi.org/10.1007/978-981-4585-33-0_12

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