Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques
The aim of the present study is to present a new model based on the nonlinear singular second order delay differential equation of Lane–Emden type and numerically solved by using the heuristic technique. Four different examples are presented based on the designed model and numerically solved by usin...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/11032 |
| Acesso em linha: | http://hdl.handle.net/10317/11032 https://www.sciencedirect.com/science/article/pii/S1568494621000284 |
| Access Level: | acceso abierto |
| Palavra-chave: | Delay differential equations Lane–Emden Artificial neural networks Nonlinear Genetic algorithm Statistical analysis Sequential quadratic programming Matemática Aplicada 12 Matemáticas |
| Resumo: | The aim of the present study is to present a new model based on the nonlinear singular second order delay differential equation of Lane–Emden type and numerically solved by using the heuristic technique. Four different examples are presented based on the designed model and numerically solved by using artificial neural networks optimized by the global search, local search methods and their hybrid combinations, respectively, named as genetic algorithm (GA), sequential quadratic programming (SQP) and GA-SQP. The numerical results of the designed model are compared for the proposed heuristic technique with the exact/explicit results that demonstrate the performance and correctness. Moreover, statistical investigations/assessments are presented for the accuracy and performance of the designed model implemented with heuristic methodology. |
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