A Laguerre\,-\,Legendre spectral\,-\,element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors
From MaRDI portal
Publication:814217
DOI10.1016/j.mcm.2005.05.010zbMath1081.92026OpenAlexW2080945738MaRDI QIDQ814217
Mark A. J. Chaplain, José Valenciano
Publication date: 6 February 2006
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2005.05.010
Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials ⋮ Spectral collocation method for solving Fredholm integral equations on the half-line ⋮ Modal spectral element method in curvilinear domains ⋮ A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations ⋮ Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The p- and h-p versions of the finite element method. An overview
- An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
- Laguerre polynomials for infinite-domain spectral elements
- High-order splitting methods for the incompressible Navier-Stokes equations
- Continuous and discrete mathematical models of tumor-induced angiogenesis
- Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval
- COMPUTING HIGHLY ACCURATE SOLUTIONS OF A TUMOUR ANGIOGENESIS MODEL
- AN EXPLICIT SUBPARAMETRIC SPECTRAL ELEMENT METHOD OF LINES APPLIED TO A TUMOUR ANGIOGENESIS SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
- Spectral Elements on Infinite Domain
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- Indicateurs d’erreur en $h-N$ version des éléments spectraux