📄 Research Article
AJCR Vol. 7, No. 9 (2020)
THE DESIGN AND IMPLEMENTATION OF A COMPUTATIONAL ALGORITHM OF GOMPERTZ - LOGISTIC MODELS ON ORDINARY DIFFERENTIAL EQUATIONS
Ogunrinde Roseline Bolanle & Adebayo Funmilayo Sarah & Ayinde Samuel Olukayode
Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Ekiti State, Nigeria.
Open Access
Peer Reviewed
Research Article
Abstract
This Paper presents the design and Implementation of a Numerical Model for solving ordinary differential equations with Initial values. It was a resultant equation of Gompertz and Logistic models. Some problems were solved successfully to test the accuracy, performance and suitability of the Model in terms of the absolute relative errors computed via MATLAB codes. The numerical solutions obtained via the Model agreed with the analytical solutions of the problems that were examined. The analysis of the properties of the method such as consistency, stability and convergence were also investigated. It was found to converge, be consistent and very stable. The combinations of Gompertz and Logistic Models as the basis function makes the work an improvement of existing methods used to evaluate growth problems and IVPs of various areas of Ordinary Differential Equations (ODEs).
Keywords:
Numerical model, Basis Functions, Computational Algorithm, Gompertz equation, Logistic equation
📑 How to Cite This Article
APA 7th Edition:
Ogunrinde Roseline Bolanle, Adebayo Funmilayo Sarah, Ayinde Samuel Olukayode (2020). THE DESIGN AND IMPLEMENTATION OF A COMPUTATIONAL ALGORITHM OF GOMPERTZ - LOGISTIC MODELS ON ORDINARY DIFFERENTIAL EQUATIONS. Academic Journal of Current Research, 7(9), 63-76. https://doi.org/
Ogunrinde Roseline Bolanle, Adebayo Funmilayo Sarah, Ayinde Samuel Olukayode (2020). THE DESIGN AND IMPLEMENTATION OF A COMPUTATIONAL ALGORITHM OF GOMPERTZ - LOGISTIC MODELS ON ORDINARY DIFFERENTIAL EQUATIONS. Academic Journal of Current Research, 7(9), 63-76. https://doi.org/
Vancouver Style:
Ogunrinde Roseline Bolanle, Adebayo Funmilayo Sarah, Ayinde Samuel Olukayode. THE DESIGN AND IMPLEMENTATION OF A COMPUTATIONAL ALGORITHM OF GOMPERTZ - LOGISTIC MODELS ON ORDINARY DIFFERENTIAL EQUATIONS. Acad. J. Curr. Res.. 2020;7(9):63-76. DOI:
Ogunrinde Roseline Bolanle, Adebayo Funmilayo Sarah, Ayinde Samuel Olukayode. THE DESIGN AND IMPLEMENTATION OF A COMPUTATIONAL ALGORITHM OF GOMPERTZ - LOGISTIC MODELS ON ORDINARY DIFFERENTIAL EQUATIONS. Acad. J. Curr. Res.. 2020;7(9):63-76. DOI:
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