Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer

DOI10.1002/NUM.23000arXiv2203.16453OpenAlexW4318071371MaRDI QIDQ6066573

M. R. Eslahchi, F. Nasresfahani

Publication date: 13 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16453

zbMATH Keywords

nonlinear parabolic equationfinite difference methodfree boundary problemspectral methodconvergence and stabilityprostate cancer model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Cell biology (92C37) Free boundary problems for PDEs (35R35)

Cites Work

• Unnamed Item
• Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations
• A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
• Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model
• Solving a fractional parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application using finite difference-spectral method
• A mathematical model of intermittent androgen suppression for prostate cancer
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• Application of collocation method for solving a parabolic-hyperbolic free boundary problem which models the growth of tumor with drug application
• Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method
• Mathematical Modelling, Optimization, Analytic and Numerical Solutions
• Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition
• A mathematical model of prostate tumor growth under hormone therapy with mutation inhibitor

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