Numerical comparison of runge-kutta (RK5) and new iterative method (NIM) for solving metastatic cancer model / Falade Kazeem Iyanda, Tiamiyu Abd`Gafar Tunde and Umar Isa

Iyanda, Falade Kazeem and Tunde, Tiamiyu Abd`Gafar and Isa, Umar (2021) Numerical comparison of runge-kutta (RK5) and new iterative method (NIM) for solving metastatic cancer model / Falade Kazeem Iyanda, Tiamiyu Abd`Gafar Tunde and Umar Isa. Malaysian Journal of Computing (MJoC), 6 (1). pp. 758-771. ISSN (eISSN): 2600-8238

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Abstract

This paper attempts to present and employ Runge-Kutta Method of fifth-order (RK5) and New Iterative Method for the numerical solution of metastatic cancer model which occur in two compartments of cancer environment. These methods have been proved to be powerful mathematical tools for various phenomena in biomathematics and it is extremely effective for linear and non-linear systems of differential equations. Our numerical experiments illustrate the effect of parameters β₁,β₂ and β₃ on cancer models which are responsible for the spread or reduction of cancer cells through the boundary of an organ tissue. The results obtained are compared with analytical solutions and show that (RK5) and NIM are powerful numerical techniques to solve systems of differential equations. Finally, all computations and algorithms are implemented using MAPLE 18 software version.

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Item Type: Article
Creators:
Creators
Email
Iyanda, Falade Kazeem
faladekazeem2016@kustwudil.edu.ng
Tunde, Tiamiyu Abd`Gafar
abdgafartunde@yahoo.com
Isa, Umar
isaumar32@gmail.com
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Numerical simulation. Monte Carlo method
Divisions: Universiti Teknologi MARA, Shah Alam > Faculty of Computer and Mathematical Sciences
Journal or Publication Title: Malaysian Journal of Computing (MJoC)
UiTM Journal Collections: UiTM Journal > Malaysian Journal of Computing (MJoC)
ISSN: (eISSN): 2600-8238
Volume: 6
Number: 1
Page Range: pp. 758-771
Official URL: https://mjoc.uitm.edu.my
Item ID: 47829
Uncontrolled Keywords: Analytical solutions, MAPLE 18 Mathematical software, Metastatic cancer model
URI: https://ir.uitm.edu.my/id/eprint/47829

ID Number

47829

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