A weighted combination of reproducing kernel particle shape functions with cardinal functions of scalable polyharmonic spline radial kernel utilized in Galerkin weak form of a mathematical model related to anti-angiogenic therapy
DOI10.1016/j.cnsns.2024.108059zbMath1541.92041MaRDI QIDQ6551783
Niusha Narimani, Vahid Mohammadi, Mehdi Dehghan
Publication date: 7 June 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
eigenvalue stabilityGalerkin weak formreproducing kernel particle approximationbiconjugate gradient stabilized algorithmnew shape functionsa reaction-diffusion-taxis modelanti-angiogenic capacity of fasentincardinal functions of scalable polyharmonic spline kernel with polynomial augmentation
Numerical computation using splines (65D07) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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