APLIKASI METODE ADAMS BASHFORTH-MOULTON (ABM) PADA MODEL PENYAKIT KANKER
ABSTRACT: Cancer is a deadly
disease that is characterized by the growth of abnormal cells, the growth is
ongoing, forming a tumor. Tumors are divided into two parts, namely benign and
malignant tumors. Malignant tumors are a general term for cancer. The disease
of cancer has a mathematical model in the form of a system of differential
equations, for it required a method to obtain the solution of the system of
differential equations. The method used is the method of numerical methods
Bashforth Adams Moulton (ABM) order one, two, three, and four. From the results
of this study concluded that the method ABM order three better than the method
ABM first order, second order and fourth order at issue models of cancer, It
can be seen in the graphic simulation using ABM order three, it shows that increasing
time population of immune effector cells (E) and a population of effector
molecules (C) increased and then stabilized. The population of immune effector
cells (E) stabilized at 33.3336, while the population of the effector molecule
(C) is stable in the scope of the numbers 33,333, 33,333 are said to be in
scope for changes in population effector molecule (C) can not be known with
certainty. While the population of cancer cells (T) remains at 0 at each
iteration (stable) remains in a state that is free of cancer
KEYWORDS: Cancer; Differential
Equation System; Adams Bashforth-Moulton (ABM) Method; Convergence; Stability;
Consistency
Penulis: Kuzairi, Tony
Yulianto, Lilik Safitri
Kode Jurnal: jpmatematikadd160378
