A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method

A three-dimensional finite volume method

A three-dimensional finite volume method based on radial basis functions for the accurate computational modelling of nonlinear diffusion equations

✍ T.J. Moroney; I.W. Turner 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 985 KB

We investigate the effectiveness of a finite volume method incorporating radial basis functions for simulating nonlinear diffusion processes. Past work conducted in two dimensions is extended to produce a three-dimensional discretisation that employs radial basis functions (RBFs) as a means of local