Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods

Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods

In this study, a novel second-order prediction differential model is designed, and numerical solutions of this novel model are presented using the integrated strength of the Adams and explicit Runge–Kutta schemes. The idea of the present study comes to the mind to see the importance of delay differe...

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Main Authors: Zulqurnain Sabir, Juan L. G. Guirao, Tareq Saeed, Fevzi Erdoğan
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/9704968
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spelling doaj-cf8a1e7576c94a4da94e7d5af693b2432020-11-25T03:45:22ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/97049689704968Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical MethodsZulqurnain Sabir0Juan L. G. Guirao1Tareq Saeed2Fevzi Erdoğan3Department of Mathematics and Statistics, Hazara University, Mansehra, PakistanDepartment of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, SpainNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, TurkeyIn this study, a novel second-order prediction differential model is designed, and numerical solutions of this novel model are presented using the integrated strength of the Adams and explicit Runge–Kutta schemes. The idea of the present study comes to the mind to see the importance of delay differential equations. For verification of the novel designed model, four different examples of the designed model are numerically solved by applying the Adams and explicit Runge–Kutta schemes. These obtained numerical results have been compared with the exact solutions of each example that indicate the performance and exactness of the designed model. Moreover, the results of the designed model have been presented numerically and graphically.http://dx.doi.org/10.1155/2020/9704968
collection DOAJ
language English
format Article
sources DOAJ
author Zulqurnain Sabir
Juan L. G. Guirao
Tareq Saeed
Fevzi Erdoğan
spellingShingle Zulqurnain Sabir
Juan L. G. Guirao
Tareq Saeed
Fevzi Erdoğan
Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
Mathematical Problems in Engineering
author_facet Zulqurnain Sabir
Juan L. G. Guirao
Tareq Saeed
Fevzi Erdoğan
author_sort Zulqurnain Sabir
title Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
title_short Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
title_full Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
title_fullStr Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
title_full_unstemmed Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
title_sort design of a novel second-order prediction differential model solved by using adams and explicit runge–kutta numerical methods
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description In this study, a novel second-order prediction differential model is designed, and numerical solutions of this novel model are presented using the integrated strength of the Adams and explicit Runge–Kutta schemes. The idea of the present study comes to the mind to see the importance of delay differential equations. For verification of the novel designed model, four different examples of the designed model are numerically solved by applying the Adams and explicit Runge–Kutta schemes. These obtained numerical results have been compared with the exact solutions of each example that indicate the performance and exactness of the designed model. Moreover, the results of the designed model have been presented numerically and graphically.
url http://dx.doi.org/10.1155/2020/9704968
work_keys_str_mv AT zulqurnainsabir designofanovelsecondorderpredictiondifferentialmodelsolvedbyusingadamsandexplicitrungekuttanumericalmethods
AT juanlgguirao designofanovelsecondorderpredictiondifferentialmodelsolvedbyusingadamsandexplicitrungekuttanumericalmethods
AT tareqsaeed designofanovelsecondorderpredictiondifferentialmodelsolvedbyusingadamsandexplicitrungekuttanumericalmethods
AT fevzierdogan designofanovelsecondorderpredictiondifferentialmodelsolvedbyusingadamsandexplicitrungekuttanumericalmethods
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