Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model

Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model

In this study, the design of a novel model based on nonlinear third-order Emden–Fowler delay differential (EF-DD) equations is presented along with two types using the sense of delay differential and standard form of the second-order EF equation. The singularity at ξ = 0 at single or multiple points...

Full description

Bibliographic Details
Main Authors: Juan L.G. Guirao, Zulqurnain Sabir, Tareq Saeed
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/7359242
id doaj-9d5586a9e930445abaf697af127e8787
record_format Article
spelling doaj-9d5586a9e930445abaf697af127e87872020-11-25T02:54:22ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/73592427359242Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential ModelJuan L.G. Guirao0Zulqurnain Sabir1Tareq Saeed2Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Santa Marina, Cartagena 30203, SpainDepartment of Mathematics and Statistics, Hazara University, Mansehra, PakistanNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah 21589, Saudi ArabiaIn this study, the design of a novel model based on nonlinear third-order Emden–Fowler delay differential (EF-DD) equations is presented along with two types using the sense of delay differential and standard form of the second-order EF equation. The singularity at ξ = 0 at single or multiple points of each type of the designed EF-DD model are discussed. The detail of shape factors and delayed points is provided for both types of the designed third-order EF-DD model. For the verification and validation of the model, two numerical examples are presented of each case and numerical results have been performed using the artificial neural network along with the hybrid of global and local capabilities. The comparison of the obtained numerical results with the exact solutions shows the perfection and correctness of the designed third-order EF-DD model.http://dx.doi.org/10.1155/2020/7359242
collection DOAJ
language English
format Article
sources DOAJ
author Juan L.G. Guirao
Zulqurnain Sabir
Tareq Saeed
spellingShingle Juan L.G. Guirao
Zulqurnain Sabir
Tareq Saeed
Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
Mathematical Problems in Engineering
author_facet Juan L.G. Guirao
Zulqurnain Sabir
Tareq Saeed
author_sort Juan L.G. Guirao
title Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
title_short Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
title_full Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
title_fullStr Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
title_full_unstemmed Design and Numerical Solutions of a Novel Third-Order Nonlinear Emden–Fowler Delay Differential Model
title_sort design and numerical solutions of a novel third-order nonlinear emden–fowler delay differential model
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description In this study, the design of a novel model based on nonlinear third-order Emden–Fowler delay differential (EF-DD) equations is presented along with two types using the sense of delay differential and standard form of the second-order EF equation. The singularity at ξ = 0 at single or multiple points of each type of the designed EF-DD model are discussed. The detail of shape factors and delayed points is provided for both types of the designed third-order EF-DD model. For the verification and validation of the model, two numerical examples are presented of each case and numerical results have been performed using the artificial neural network along with the hybrid of global and local capabilities. The comparison of the obtained numerical results with the exact solutions shows the perfection and correctness of the designed third-order EF-DD model.
url http://dx.doi.org/10.1155/2020/7359242
work_keys_str_mv AT juanlgguirao designandnumericalsolutionsofanovelthirdordernonlinearemdenfowlerdelaydifferentialmodel
AT zulqurnainsabir designandnumericalsolutionsofanovelthirdordernonlinearemdenfowlerdelaydifferentialmodel
AT tareqsaeed designandnumericalsolutionsofanovelthirdordernonlinearemdenfowlerdelaydifferentialmodel
_version_ 1715354953873096704

Similar Items