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A preliminary report on the utilization of Galerkin-PSO method for solving interpolation-like problem

Author(s): Ayu Fitri Yanti | Iwan Pranoto

Journal: Applied Mathematics and Computational Intelligence
ISSN 2289-1315

Volume: 1;
Issue: 1;
Start page: 56;
Date: 2012;
Original page

Keywords: Interpolation | Galerkin method | Particle swarm optimization

The interpolation-like problem discussed in this paper is to search an optimal curve minimizing a functional cost and at the same time interpolating several given points. Instead of solving the optimization problem with constrain directly, we transform the problem into a pure optimization problem, without constrain. After that, the Galerkin Method is used to make the problem finite dimensional one. The problem becomes finding a minimal point and value of a finite dimensional function. The Particle Swarm Optimization (PSO) algorithm is used to minimize this function.
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