Numerical solution of third‐order boundary value problems by using a two‐step hybrid block method with a fourth derivative.
[EN]This article proposes a two-step hybrid block method (TSHBM) with a fourth derivative for solving third-order boundary value problems in ordinary differential equations. The mathematical formulation of the proposed approach depends on interpolation and collocation techniques. The order of conver...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universidad de Salamanca (USAL) |
| Repositório: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/156661 |
| Acesso em linha: | http://hdl.handle.net/10366/156661 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Collocation and interpolation techniques Hybrid block method Linear and nonlinear problems Ordinary differential equation Third-order boundary value problems 12 Matemáticas |
| Resumo: | [EN]This article proposes a two-step hybrid block method (TSHBM) with a fourth derivative for solving third-order boundary value problems in ordinary differential equations. The mathematical formulation of the proposed approach depends on interpolation and collocation techniques. The order of convergence of the TSHBM is showed to be seventh-order convergent and zero-stable. A few numerical examples are given to evaluate its performance. Numerical outcomes show that the TSHBM scheme is more efficient than some existing numerical techniques. |
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