Numerical Solution of Linear Time-Varying Differential Equations using the Hybrid of Block-pulse and Rationalized Haar Functions
| Autor: | Mohsen Razzaghi, Yadollah Ordokhani, B. Arabzadeh |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
0209 industrial biotechnology
Differential equation Mechanical Engineering Mathematical analysis Aerospace Engineering 02 engineering and technology Exponential integrator Examples of differential equations Nonlinear system 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Linear differential equation Mechanics of Materials Automotive Engineering General Materials Science Differential algebraic equation Mathematics Numerical partial differential equations Numerical stability |
| Zdroj: | Journal of Vibration and Control. 12:1081-1092 |
| ISSN: | 1741-2986 1077-5463 |
| DOI: | 10.1177/1077546306069121 |
| Popis: | A numerical method for finding the solution of linear time-varying differential equations is proposed. The properties of the hybrid functions, which consist of block-pulse functions plus rationalized Haar functions, are presented. The properties of the hybrid functions together with the operational matrices of integration and product are then utilized to reduce the solution of differential equations to the solution of algebraic equations. Examples are included to demonstrate the validity and applicability of the technique. |
| Databáze: | OpenAIRE |
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