An approximate analytical solution of non-linear fractional-order constrained optimization problem using optimal homotopy analysis method

• Main Authors: Okundalaye, Oluwaseun Olumide, Othman, Wan Ainun Mior
• Format: Article
• Published: Tuengr Group
• Subjects: TA Engineering (General). Civil engineering (General)
• Online Access: http://eprints.um.edu.my/34884/

We present an optimal homotopy analysis method (OHAM) to find an accurate approximate analytic solution (AAS) for non-linear fractional-order constrained optimization problem (FOCOP). The previous analytical approximate method (AAM) of solving FOCOP possesses no norms for the convergence of the infinite series solution. OHAM provides an independent way of choosing proper values of the control-convergence parameter (CCP), auxiliary linear operator, and enables us to control and govern the convergence area of the series solution produced by a squared residual error optimization technique. Numerical comparisons of OHAM with Runge-Kutta fourth-order (RK4) method for accuracy. Some examples from the CUTEr library were used to indicate the correctness and relevance of the suggested techniques. Disciplinary: Mathematics. (C)2020 INT TRANS J ENG MANAG SCI TECH.