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A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization

โœ Scribed by Mohammad Maleki; Mahmoud Mashali-Firouzi

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
301 KB
Volume
234
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Chen, Y. Z. ;Lin, X. Y. ;Wang, Z. X. ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 110 KB ๐Ÿ‘ 1 views

This paper presents a method for finding the eigenvalues of some equations, or the zeros of analytic functions. There are two steps in the method. In the first step, integration along the edges of rectangle for an analytic function is performed. From the result of integration, one can know whether t