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

Nawal AL-Zaid (), Amani AL-Refaidi, Huda Bakodah and Mariam AL-Mazmumy
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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
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

Mathematics, 2022, vol. 10, issue 19, 1-15

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.

Keywords: double decomposition method; Adomian decomposition method; second- and higher-order differential equations; nonlinear ordinary differential equations; boundary-value problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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