Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients

This work analyze singularly perturbed convection-diffusion-reaction (CDR) models with two parameters and variable coefficients by developing a mesh-free scheme based on local radial basis function-finite difference (LRBF-FD) approximation. In the evolvement of scheme, time derivative is discretized forward finite difference. After that, LRBF-FD approximation used for spatial discretization, we obtained system linear equations. Then, solved LU decomposition method in MATLAB. For numerical simulation, four are pondered to check efficiency chastity proposed scheme.