5 papers
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach
F. Nasresfahani, M. R. Eslahchi
We present a direct numerical method for the solution of an optimal control problem controlling the growth of LDL, HDL and plaque. The optimal control problem is constrained with a…
Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer
Farzaneh Nasresfahani, M. R. Eslahchi
The main target of this paper is to present an efficient method to solve a nonlinear free boundary mathematical model of prostate tumor. This model consists of two parabolics, one…
Optimal Control for a Nonlinear Stochastic Parabolic Model of Language Competition
Sakine Esmaili, M. R. Eslahchi
In this investigation, an optimal control problem for a stochastic mathematical model of language competition is studied. We have considered the stochastic model of language compet…
Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method
Sakine Esmaili, F. Nasresfahani, M. R. Eslahchi
In this paper, a free boundary problem modelling the growth of tumor is considered. The model includes two reaction-diffusion equations modelling the diffusion of nutrient and drug…
Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery
Farzaneh Nasresfahani, Mohammad Reza Eslahchi
The main target of this paper is to present a new and efficient method to solve a nonlinear free boundary mathematical model of atherosclerosis. This model consists of three parabo…