Applying a Spectral Method to Solve Second Order Differential Equations With Constant Coefficients
Spectral methods have been successfully applied to numerical simulation in a variety of fields, such as heat transfer, fluid dynamics, quantum mechanics and so on. They are powerful tools for the numerical solutions of differential equations, ordinary and partial. This paper presents a spec...
- Autores:
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Católica de Pereira
- Repositorio:
- Repositorio Institucional - RIBUC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.ucp.edu.co:10785/13528
- Acceso en línea:
- https://revistas.ucp.edu.co/index.php/entrecienciaeingenieria/article/view/688
http://hdl.handle.net/10785/13528
- Palabra clave:
- Rights
- openAccess
- License
- Derechos de autor 2019 Entre Ciencia e Ingeniería
| Summary: | Spectral methods have been successfully applied to numerical simulation in a variety of fields, such as heat transfer, fluid dynamics, quantum mechanics and so on. They are powerful tools for the numerical solutions of differential equations, ordinary and partial. This paper presents a spectral method based on polynomial interpolation nodes distributed according to Chebyshev grids, to solve a second order ordinary differential equation with constant coefficients. It demonstrates the accuracy of this method as compared to finite difference method and this advantage is theoretically explained |
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