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- Title
Numerical Investigation of Thin Film Flow of a Third-Grade Fluid on a Moving Belt Using Evolutionary Algorithm-Based Heuristic Technique.
- Authors
Subhan, Fazal; Malik, Suheel Abdullah; Khan, Muhammad Asghar; Aziz, Muhammad Adnan; Uddin, M. Irfan; Ullah, Insaf
- Abstract
This paper presents a stochastic heuristic approach to solve numerically nonlinear differential equation (NLDE) governing the thin film flow of a third-grade fluid (TFF-TGF) on a moving belt. Moreover, the impact on velocity profile due to fluid attribute is also investigated. The estimate solution of the given NLDE is achieved by using the linear combination of Bernstein polynomials with unknown constants. A fitness function is deduced to convert the given NLDE along with its boundary conditions into an optimization problem. Genetic algorithm (GA) is employed to optimize the values of unknown constants. The proposed approach provided results in good agreement with numerical values taken by Runge–Kutta and more accurate than two popular classical methods including Adomian Decomposition Method (ADM) and Optimal Homotopy Asymptotic Method (OHAM). The error is minimized 10 − 1 times to 10 − 2 times.
- Subjects
FILM flow; FLUID flow; THIN films; BERNSTEIN polynomials; HEURISTIC algorithms; NONLINEAR differential equations
- Publication
Journal of Circuits, Systems & Computers, 2022, Vol 31, Issue 1, p1
- ISSN
0218-1266
- Publication type
Article
- DOI
10.1142/S0218126622500116