Application of Lie point symmetries to the resolution of an interface problem in a generalized Fisher equation
DOI10.1016/j.physd.2020.132411zbMath1484.35107OpenAlexW3006672224WikidataQ111164761 ScholiaQ111164761MaRDI QIDQ2077567
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2020.132411
analytical solutionsLie symmetriesFisher equationinterface problemsmodel of tumor growth at its interface
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The mathematics behind biological invasions
- Explicit solutions of Fisher's equation for a special wave speed
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- Mathematical biology. Vol. 1: An introduction.
- Group analysis of a hyperbolic Lane-Emden system
- Modelling biological invasions: individual to population scales at interfaces
- Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems
- From additional symmetries to linearization of Virasoro symmetries
- Effective particle methods for Fisher-Kolmogorov equations: theory and applications to brain tumor dynamics
- A mathematical model and numerical solution of interface problems for steady state heat conduction
- Adaptive fast interface tracking methods
- On the existence of traveling wave solutions and upper and lower bounds for some Fisher–Kolmogorov type equations
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Singularly mixed boundary value problem
- On the classical and nonclassical symmetries of a generalized Gardner equation
- Symmetry analysis for a Fisher equation with exponential diffusion
This page was built for publication: Application of Lie point symmetries to the resolution of an interface problem in a generalized Fisher equation