Solution of variational problems via general orthogonal polynomials |
| |
| Authors: | SHUH-CHUAN TSAY TSU-TIAN LEE |
| |
| Affiliation: | 1. Telecommunication Laboratories, Ministry of Communications , Taiwan, Republic of China;2. Department of Electrical Engineering , The University of Kentucky , Lexington, Kentucky, 40506-0046, U.S.A |
| |
| Abstract: | The general orthogonal polynomials approximation is employed to solve variational problems. The operational matrix of integration is applied to reduce an integral equation to an algebraic equation with expansion coefficients. A simple and straightforward algorithm is then developed to calculate the expansion coefficients of the general orthogonal polynomials. The proposed method is general and various classical orthogonal polynomial approximations of the same problem can be obtained as a special case of the derived results. |
| |
| Keywords: | |
|
|
