An Efficient Transform-Based Approach for Some Nonlinear Singular Boundary Value Problems With Nonlocal Integral Boundary Specifications

Mohammad Ali Mehrpouya and Patricia J. Y. Wong

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-11

Abstract: This paper presents a method for solving some nonlinear singular boundary value problems with nonlocal integral boundary conditions. The method first converts the problem into a dynamic optimization problem with dynamical and algebraic constraints. A parameter optimization algorithm is then used to solve this optimization problem. The paper also includes a convergence analysis of the method and demonstrates its accuracy and efficiency through numerical examples.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9953923

DOI: 10.1155/ijmm/9953923

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