On An Operational Matrix Method Based On Generalized Bernoulli Polynomials Of Level M
An operational matrix method based on generalized Bernoulli polynomials of level m is introduced and analyzed in order to obtain numerical solutions of initial value problems. The most innovative component of our method comes, essentially, from the introduction of the generalized Bernoulli polynomia...
- Autores:
-
Quintana, Yamilet
Ramirez Quiroga, William David
Urieles Guerrero, Alejandro
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2018
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/1060
- Acceso en línea:
- https://hdl.handle.net/11323/1060
https://repositorio.cuc.edu.co/
- Palabra clave:
- Bernoulli Polynomials
Galerkin Method
Generalized Bernoulli Polynomials Of Level M
Ill-Conditioned Linear Systems
Operational Matrix
- Rights
- openAccess
- License
- Atribución – No comercial – Compartir igual
Summary: | An operational matrix method based on generalized Bernoulli polynomials of level m is introduced and analyzed in order to obtain numerical solutions of initial value problems. The most innovative component of our method comes, essentially, from the introduction of the generalized Bernoulli polynomials of level m, which generalize the classical Bernoulli polynomials. Computational results demonstrate that such operational matrix method can lead to very ill-conditioned matrix equations. |
---|