Modified Optimal Homotopy Asymptotic Method for Singular Two-Point Boundary Value Problems
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.7128Keywords:
MOHAM; singular boundary value problems; residual minimization; analytical approximation; convergence efficiencyAbstract
This work applies the Modified Optimal Homotopy Asymptotic Method (MOHAM) to two benchmark singular two–point boundary value problems that were previously analyzed using the standard OHAM. The modification introduces a refined homotopy framework in which nonlinear and singular terms are systematically distributed across successive embedding orders, while
the auxiliary function is optimally tuned through residual minimization. With this enhancement, MOHAM delivers first–order analytical approximations that are nearly identical to the exact solutions, achieving higher accuracy, faster convergence, and greater computational efficiency than the conventional OHAM even when the latter is extended to three terms of approximation
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Copyright (c) 2025 Nidal Anakira, Sameer Bawaneh, Areen Al-khateeb, Ala Amourah, Tala Sasa
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