Two Numerical Solutions for Solving a Mathematical Model of the Avascular Tumor Growth

Objectives: Cancer which is one of the most challenging health problems overall world composed various processes: tumorigenesis, angiogenesis, and metastasis. Attempting to understand truth behind this complicated disease common objectives many experts researchers from different fields. To provide deeper insights any prognostic and/or diagnostic scientific contribution topic so crucial. In study, avascular tumor growth model earliest stage taken into account a mathematical point view. The main aim solve numerically. 
 Methods: This study has focused on numerical solution continuum described by Sharrett Chaplin. Unlike existing recent literature, methods for temporal domain. obtain schemes central difference method been used in spatial coordinates. discretization technique reduced partial differential equation an ordinary will be solved successively two alternative techniques: 4th order Runge-Kutta (RK4) three-stage strongly-stability preserving (SSP-RK3). Results: proposed methods. results are discussed both biological angles. compatibility depicted figures. Besides outputs, accuracies have listed Furthermore, rate convergence also computationally.
 Conclusion: All recorded evidence that applicable solving such models. Moreover, all exhibited figures proved It observed quiescent cells mysterious clinics tend become proliferative selected parameters.