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Solving Second-Order Delay Differential Equations by Direct Adams-Moulton Method

Author

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  • Hoo Yann Seong
  • Zanariah Abdul Majid
  • Fudziah Ismail

Abstract

This paper will consider the implementation of fifth-order direct method in the form of Adams-Moulton method for solving directly second-order delay differential equations (DDEs). The proposed direct method approximates the solutions using constant step size. The delay differential equations will be treated in their original forms without being reduced to systems of first-order ordinary differential equations (ODEs). Numerical results are presented to show that the proposed direct method is suitable for solving second-order delay differential equations.

Suggested Citation

  • Hoo Yann Seong & Zanariah Abdul Majid & Fudziah Ismail, 2013. "Solving Second-Order Delay Differential Equations by Direct Adams-Moulton Method," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, December.
    • Handle: RePEc:hin:jnlmpe:261240
    DOI: 10.1155/2013/261240
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    Cited by:

    1. Ghada Elshafei & Dušan Katunský & Martina Zeleňáková & Abdelazim Negm, 2022. "Opportunities for Using Analytical Hierarchy Process in Green Building Optimization," Energies, MDPI, vol. 15(12), pages 1-24, June.
    2. Nur Tasnem Jaaffar & Zanariah Abdul Majid & Norazak Senu, 2020. "Numerical Approach for Solving Delay Differential Equations with Boundary Conditions," Mathematics, MDPI, vol. 8(7), pages 1-19, July.

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