Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703886 | Applied Mathematical Modelling | 2014 | 14 Pages |
Abstract
In this paper, periodized Shannon wavelets are applied as basis functions in solution of the high-order ordinary differential equations and eigenvalue problem. The first periodized Shannon wavelets are defined. The second the connection coefficients of periodized Shannon wavelets are related by a simple variable transformation to the Cattani connection coefficients. Finally, collocation method is used for solving the high-order ordinary differential equations and eigenvalue problem. Some equations are solved in order to find out advantage of such choice of the basis functions.
Keywords
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Computational Mechanics
Authors
Zhi Shi, Fumin Li,