Articles with "optimal homotopy" as a keyword



Numerical solutions of thin film flows of non-Newtonian fluids via optimal homotopy asymptotic approach

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Published in 2024 at "Modern Physics Letters B"

DOI: 10.1142/s0217984924503524

Abstract: The objective of this research is to recover new solutions in the lifting and drainage cases of thin film flows involving non-Newtonian fluid models namely Pseudo-Plastic (PP) and Oldroyd 6-Constant (O6C). Both of the considered… read more here.

Keywords: homotopy asymptotic; film flows; non newtonian; thin film ... See more keywords
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Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem

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Published in 2020 at "Advances in Mathematical Physics"

DOI: 10.1155/2020/8049397

Abstract: In this paper, we consider an approximate analytical method of optimal homotopy asymptotic method-least square (OHAM-LS) to obtain a solution of nonlinear fractional-order gradient-based dynamic system (FOGBDS) generated from nonlinear programming (NLP) optimization problems. The… read more here.

Keywords: order; nonlinear fractional; optimal homotopy; method ... See more keywords

Nonlinear optimal control of variable speed wind turbines using optimal homotopy asymptotic method

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Published in 2025 at "Wind Engineering"

DOI: 10.1177/0309524x251317188

Abstract: This paper presents a new nonlinear optimal controller for wind energy conversion systems. This study utilizes a new strategy to solve the Hamilton–Jacobi–Bellman (HJB) equation and design a nonlinear optimal controller for wind turbines. The… read more here.

Keywords: wind; control; nonlinear optimal; wind turbines ... See more keywords

Optimal Homotopy Analysis of Blasius and Sakiadis Newtonian Flows over a Vertical Convective Porous Surface

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Published in 2017 at "International Journal of Engineering Research in Africa"

DOI: 10.4028/www.scientific.net/jera.28.102

Abstract: In this article, a comparative analysis of free convective Blasius and Sakiadis flows of a viscous fluid over a vertical porous surface is presented. The relationship between the flow rate and pressure drop as the… read more here.

Keywords: blasius sakiadis; temperature; analysis; optimal homotopy ... See more keywords