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Solution of Second- and Higher-Order Nonlinear Two-Point Boundary-Value Problems Using Double Decomposition Method

Author

Listed:
  • Nawal AL-Zaid

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia)

  • Amani AL-Refaidi

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia
    Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah 24211, Saudi Arabia)

  • Huda Bakodah

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia)

  • Mariam AL-Mazmumy

    (Department of Mathematics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia)

Abstract

The present paper makes use of the efficient double decomposition method to propose a method for solving two-point boundary-value problems, featuring second- and higher-order nonlinear ordinary differential equations. The efficacy of the proposed method is demonstrated on numerous test problems. In the end, a high level of exactitude between the obtained approximate solution and the available exact solution is achieved.

Suggested Citation

  • Nawal AL-Zaid & Amani AL-Refaidi & Huda Bakodah & Mariam AL-Mazmumy, 2022. "Solution of Second- and Higher-Order Nonlinear Two-Point Boundary-Value Problems Using Double Decomposition Method," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3519-:d:926244
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    References listed on IDEAS

    as
    1. Muhammad Aslam Noor & Syed Tauseef Mohyud-Din, 2008. "Variational Iteration Method for Fifth-Order Boundary Value Problems Using He's Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-12, March.
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