Article ID Journal Published Year Pages File Type
1703886 Applied Mathematical Modelling 2014 14 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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