In this paper, we propose an effective numerical method to solve the one-and two-
dimensional time-fractional convection-diffusion equations based on the Caputo derivative …

We propose a polynomial-based numerical scheme for solving some important nonlinear
partial differential equations (PDEs). In the proposed technique, the temporal part is …

In this study, the approximate solution of the nonlinear differential equation with variable
delays is investigated by means of a collocation method based on the truncated Pell-Lucas …

This article presents an efficient method for obtaining approximations for the solutions of
linear neutral delay differential equations. This numerical matrix method, based on …

In this article, a new modified Laplace-Fourier method is developed in order to obtain the
solutions of linear neutral delay differential equations. The proposed method provides a …

For the first time via this study, the ultimate effort is inclined to numerically solve one-
dimensional parabolic partial integro-differential equations with spatial–temporal delays and …

This study focuses on new numerical approach to the solutions of nonlinear boundary value
problems occurring in heat and mass transfer, constructing a matrix-combinatorial method …

In this study, a computational matrix-collocation method based on the Lagrange
interpolation polynomial is specifically streamlined to treat the fractional nonlinear terminal …

In this article, we use the collocation method based on the radial basis functions with
symmetric variable shape parameter (SVSP) to obtain numerical solutions of neutral-type …