A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization |
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Authors: | Mohammad Maleki Mahmoud Mashali-Firouzi |
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Affiliation: | a Department of Mathematics, Payame Noor University (PNU), Isfahan, Iran b Department of Mathematics, School of Mohajer, Hezar Jerib Street, Isfahan, Iran |
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Abstract: | In this paper a direct method for solving variational problems using nonclassical parameterization is presented. A nonclassical parameterization based on nonclassical orthogonal polynomials is first introduced to reduce a variational problem to a nonlinear mathematical programming problem. Then, using the Lagrange multiplier technique the problem is converted to that of solving a system of algebraic equations. Illustrative examples are given to demonstrate the validity and applicability of the technique. |
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Keywords: | Nonclassical parameterization Calculus of variation Nonlinear programming Numerical methods |
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