Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method
This paper explores the numerical analysis of a model for the challenging childhood disease named Rotavirus, by examining the impact of reducing risk. Specifically, the numerical approximation solution of the rotavirus model is investigated using three different numerical methods; the Runge-Kutta-Fe...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-11-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823008803 |
| _version_ | 1797640280117084160 |
|---|---|
| author | A.A. Adeniji O.A. Mogbojuri M.C. Kekana S.E. Fadugba |
| author_facet | A.A. Adeniji O.A. Mogbojuri M.C. Kekana S.E. Fadugba |
| author_sort | A.A. Adeniji |
| collection | DOAJ |
| description | This paper explores the numerical analysis of a model for the challenging childhood disease named Rotavirus, by examining the impact of reducing risk. Specifically, the numerical approximation solution of the rotavirus model is investigated using three different numerical methods; the Runge-Kutta-Fehlberg technique, differential transformation method, and the Laplace Adomian decomposition method. The effectiveness and accuracy of these methods are compared, and conclusions are drawn regarding their suitability for obtaining approximate solutions to modeling problems. Additionally, the effect of reducing the risk of infection on the susceptible and vaccinated populations has been studied, leading to interesting findings. This research provides valuable insights into the application of numerical methods to model infectious diseases and may be useful for researchers. |
| first_indexed | 2024-03-11T13:29:37Z |
| format | Article |
| id | doaj.art-9130cb806345466faab07ccef85c405e |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-11T13:29:37Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-9130cb806345466faab07ccef85c405e2023-11-03T04:15:00ZengElsevierAlexandria Engineering Journal1110-01682023-11-0182323329Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition methodA.A. Adeniji0O.A. Mogbojuri1M.C. Kekana2S.E. Fadugba3Tshwane University of Technology, 175 Nelson Mandela Drive, Arcadia, Pretoria, 0001, Gauteng, South Africa; Corresponding author.Department of Mathematical Sciences, Adekunle Ajasin University, Akungba-Akoko, 342111, Ondo State, NigeriaTshwane University of Technology, 175 Nelson Mandela Drive, Arcadia, Pretoria, 0001, Gauteng, South AfricaDepartment of Mathematics, Ekiti State University, Ado Ekiti, 360001, Nigeria; Department of Physical Sciences, Mathematics Programme, Landmark University, Omu-Aran, 251103, Nigeria; SDG 4: Quality Education Research Group, Landmark University, Omu-Aran, 251103, NigeriaThis paper explores the numerical analysis of a model for the challenging childhood disease named Rotavirus, by examining the impact of reducing risk. Specifically, the numerical approximation solution of the rotavirus model is investigated using three different numerical methods; the Runge-Kutta-Fehlberg technique, differential transformation method, and the Laplace Adomian decomposition method. The effectiveness and accuracy of these methods are compared, and conclusions are drawn regarding their suitability for obtaining approximate solutions to modeling problems. Additionally, the effect of reducing the risk of infection on the susceptible and vaccinated populations has been studied, leading to interesting findings. This research provides valuable insights into the application of numerical methods to model infectious diseases and may be useful for researchers.http://www.sciencedirect.com/science/article/pii/S1110016823008803Laplace Adomian decomposition methodChildhood diseaseNumerical analysisRotavirus modelDifferential transformation methodRunge-Kutta Fehlberg method |
| spellingShingle | A.A. Adeniji O.A. Mogbojuri M.C. Kekana S.E. Fadugba Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method Alexandria Engineering Journal Laplace Adomian decomposition method Childhood disease Numerical analysis Rotavirus model Differential transformation method Runge-Kutta Fehlberg method |
| title | Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method |
| title_full | Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method |
| title_fullStr | Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method |
| title_full_unstemmed | Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method |
| title_short | Numerical solution of rotavirus model using Runge-Kutta-Fehlberg method, differential transform method and Laplace Adomian decomposition method |
| title_sort | numerical solution of rotavirus model using runge kutta fehlberg method differential transform method and laplace adomian decomposition method |
| topic | Laplace Adomian decomposition method Childhood disease Numerical analysis Rotavirus model Differential transformation method Runge-Kutta Fehlberg method |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823008803 |
| work_keys_str_mv | AT aaadeniji numericalsolutionofrotavirusmodelusingrungekuttafehlbergmethoddifferentialtransformmethodandlaplaceadomiandecompositionmethod AT oamogbojuri numericalsolutionofrotavirusmodelusingrungekuttafehlbergmethoddifferentialtransformmethodandlaplaceadomiandecompositionmethod AT mckekana numericalsolutionofrotavirusmodelusingrungekuttafehlbergmethoddifferentialtransformmethodandlaplaceadomiandecompositionmethod AT sefadugba numericalsolutionofrotavirusmodelusingrungekuttafehlbergmethoddifferentialtransformmethodandlaplaceadomiandecompositionmethod |