Particle Swarm Optimization algorithm for Solving Singular Perturbed Problemsation Problems on Layer Adaptive Mesh
Pages 466 - 469
Abstract
A class of singularly perturbed convection diffusion problems is solved on bakhvalov Shishkin grid by combining particle swarm optimization with difference scheme. For the mesh parameters of bakhvalov Shishkin mesh, particle swarm optimization algorithm is used to optimize, and the objective function of minimum error norm is constructed. The numerical results of two examples show that compared with the fixed grid parameters, the particle swarm optimization algorithm can get better numerical results, and the numerical results have convergence, which verifies the effectiveness and superiority of the method.
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W. K. Zahra, D. M. Van, “Discrete Spline Solution of Singularly Perturbed Problem with Two Small Parameters on a Shishkin-Type Mesh,” Computational Mathematics and Modeling, vol. 029, no. 3, pp. 367-381, 2018.
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- Particle Swarm Optimization algorithm for Solving Singular Perturbed Problemsation Problems on Layer Adaptive Mesh
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Published In
October 2021
3136 pages
ISBN:9781450385046
DOI:10.1145/3495018
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Published: 14 March 2022
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AIAM2021
AIAM2021: 2021 3rd International Conference on Artificial Intelligence and Advanced Manufacture
October 23 - 25, 2021
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