1 research outputs found
NUMERICAL COMPARISON OF RUNGE-KUTTA (RK5) AND NEW ITERATIVE METHOD (NIM) FOR SOLVING METASTATIC CANCER MODEL
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 �!, �" ��� �# 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