Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery
DOI10.1016/j.amc.2021.126221OpenAlexW3154365865MaRDI QIDQ2243229
F. Nasresfahani, M. R. Eslahchi
Publication date: 11 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04097
nonlinear parabolic equationfinite difference methodfree boundary problemmathematical modelspectral collocation methodatherosclerosisconvergence and stability
Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Stability theory for ordinary differential equations (34Dxx) Physiological, cellular and medical topics (92Cxx)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical modeling and simulation of the evolution of plaques in blood vessels
- A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
- Mathematical model of the primary CD8 T cell immune response: stability analysis of a nonlinear age-structured system
- Unconditionally strong stability preserving extensions of the TR-BDF2 method
- Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
- An ODE model of early stages of atherosclerosis: mechanisms of the inflammatory response
- A mathematical analysis of physiological and morphological aspects of wound closure
- Of mice and men: sparse statistical modeling in cardiovascular genomics
- A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay
- Application of fixed point-collocation method for solving an optimal control problem of a parabolic-hyperbolic free boundary problem modeling the growth of tumor with drug application
- Spectral methods for substantial fractional differential equations
- Wound healing angiogenesis: the clinical implications of a simple mathematical model
- Modelling the early growth of ductal carcinoma in situ of the breast
- A mathematical analysis of a model for tumour angiogenesis
- A mathematical model for brain tumor response to radiation therapy
- A free boundary problem for steady small plaques in the artery and their stability
- Optimal control for a parabolic-hyperbolic free boundary problem modeling the growth of tumor with drug application
- A generalized multiscale finite element method (GMsFEM) for perforated domain flows with Robin boundary conditions
- Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis
- A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors
- Spectral Methods
- Mathematical and numerical modeling of early atherosclerotic lesions
- Generalized Bessel functions: Theory and their applications
- Numerical solution of the one phase 1D fractional Stefan problem using the front fixing method
- Mathematical modelling of the atherosclerotic plaque formation
- Mathematical Modelling of Tumour Invasion and Metastasis
- An Introduction to Numerical Analysis
- MATHEMATICAL MODELLING OF MACROPHAGE DYNAMICS IN TUMOURS
- Fully Legendre Spectral Galerkin Algorithm for Solving Linear One-Dimensional Telegraph Type Equation
- Mathematical Modelling, Optimization, Analytic and Numerical Solutions
- Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition
- Spectral Methods
- A front-tracking method for the computations of multiphase flow.
This page was built for publication: Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery
