A method based on the meshless approach for thenumerical solution of the singularly perturbeddifferential-difference equation arising in the modeling of neuronal variability

In this paper, an efficient procedure based on the multiquadric radial basis functions (rbfs) collocation method is applied for the numerical solution of the singularly perturbed differentialdifference (spdde) equation. the method is coupled with the residual subsampling algorithm for support adaptivity. the problem considered in this paper shows turning point behavior which is added to the complexity in the construction of numerical approximation to the solution of the problem. the proposed algorithm is very simple to perform. some numerical examples are given to validate the computational efficacy of the suggested numerical scheme.