activity
20192023
most citedSolving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method

13 citations · 23 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2023★ 10 cited

Optimal control for a nonlinear stochastic PDE model of cancer growth

Sakine Esmaili, M. R. Eslahchi, Delfim F. M. Torres

We study an optimal control problem for a stochastic model of tumour growth with drug application. This model consists of three stochastic hyperbolic equations describing the evolu…

math.OC2022

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…

math.NA2022

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…

math.OC2020

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…

math.NA2019★ 13 cited

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…

math.NA2019

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…