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

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  • Mohammad Ali Mehrpouya
  • Patricia J. Y. Wong

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.

Suggested Citation

  • Mohammad Ali Mehrpouya & Patricia J. Y. Wong, 2026. "An Efficient Transform-Based Approach for Some Nonlinear Singular Boundary Value Problems With Nonlocal Integral Boundary Specifications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2026, pages 1-11, August.
    • Handle: RePEc:hin:jijmms:9953923
    DOI: 10.1155/ijmm/9953923
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