The time–fractional reaction–diffusion (TFRD) model has broad physical perspectives and
theoretical interpretation, and its numerical techniques are of significant conceptual and …

Recently, modeling problems in various field of sciences and engineering with the help of
fractional calculus has been welcomed by researchers. One of these interesting models is a …

Two different numerical methods are developed to find approximate solutions of a class of
linear fractional differential equations (LFDEs) appearing in the study of the generalized …

The Bernstein operators (BO) are not orthogonal, but they have duals, which are obtained by
a linear combination of BO. In recent years dual BO have been adopted in computer …

The fractional reaction–diffusion equation has profound physical background and theoretical
connotation, and its numerical methods are of great scientific significance and practical …

We develop a numerical scheme for finding the approximate solution for one-and two-
dimensional multi-term time fractional diffusion and diffusion-wave equations considering …

In this paper, an efficient numerical scheme is presented in order to solve the time Caputo
fractional reaction-diffusion equation. This method is based on the Legendre tau spectral …

This research involves the development of the spectral collocation method based on
orthogonalized Bernoulli polynomials to the solution of time-fractional convection-diffusion …

In this article, a numerical method based on Chelyshkov operation matrix is built to
investigate a time-space fractional reaction diffusion model. First of all, we transform the …

Wavelets have emerged as indispensable tools across various disciplines, renowned for
their adaptability and effectiveness, particularly in signal processing and numerical analysis …