Solution of the simplified tumor-immune system using combined LaPlace transform-adomian decomposition method | ||||
| Delta Journal of Science | ||||
| Article 1, Volume 40, Issue 1, June 2019, Page 1-9 PDF (1.19 MB) | ||||
| Document Type: Research and Reference | ||||
| DOI: 10.21608/djs.2019.138917 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| A. A. Hemeda* ; M. A. Abdeen | ||||
| Department of Mathematics, Faculty of Science, Tanta University | ||||
| Abstract | ||||
| In this paper, combined Laplace transform−Adomian decomposition method (CLTADM)is presented to solve simplified Tumor-immune system at two different values of the parameter of interaction between tumor cells and effector cells ω. The system is presented to show the ability of the method for non-linear systems of differential equations. The results obtained are in good agreement with those obtained by the Runge-Kutta fourth-fifth order method (ode45 solver in matlab) and better than those obtained by Runge-Kutta second-third order method (ode23 solver in matlab) in small interval beginning from the point at which the initial values are considered. | ||||
| Keywords | ||||
| Combined Laplace transform−Adomian decomposition method; Runge-Kutta fourthfifth order method; Runge-Kutta secondthird order method; Simplified model; Tumor-immune system | ||||
| References | ||||
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