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An Approximate Analytical Solution of Non-Linear Fractional-Order Constrained Optimization Problem Using Optimal Homotopy Analysis Method |
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| รหัสดีโอไอ | |
| Creator | Oluwaseun Olumide Okundalaye, Wan Ainun Mior Othman |
| Title | An Approximate Analytical Solution of Non-Linear Fractional-Order Constrained Optimization Problem Using Optimal Homotopy Analysis Method |
| Contributor | - |
| Publisher | TuEngr Group |
| Publication Year | 2564 |
| Journal Title | International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies |
| Journal Vol. | 12 |
| Journal No. | 1 |
| Page no. | 12A1D: 1-13 |
| Keyword | Penalty Function, Fractional Differential Equations, Constrained Optimization Problem, Convergence-Control Parameters, Homotopy Analysis Method. |
| URL Website | http://TuEngr.com/Vol12_1.html |
| Website title | ITJEMAST V12(1) 2021 @ TuEngr.com |
| ISSN | 2228-9860 |
| Abstract | 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. |
