New alternative numerical approaches for solving the glioma model and their efficiencies

DOI10.1007/s40096-021-00399-0zbMath1473.65237OpenAlexW3153814580MaRDI QIDQ2041185

Sıla Övgü Korkut

Publication date: 15 July 2021

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-021-00399-0

zbMATH Keywords

finite differencecubic B-splines4th-order Runge-Kutta methodnumerical solution of gliomapseudospectral Chebyshev polynomials

Mathematics Subject Classification ID

Medical applications (general) (92C50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Pathology, pathophysiology (92C32)

Uses Software

• Matlab

Cites Work

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• A detailed numerical treatment of the boundary conditions imposed by the skull on a diffusion-reaction model of glioma tumor growth. Clinical validation aspects
• A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• A note on the numerical approach for the reaction-diffusion problem to model the density of the tumor growth dynamics
• A numerical solution of Burgers' equation by pseudospectral method and Darvishi's preconditioning
• The use of cubic splines in the solution of two-point boundary value problems

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