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 …

This paper studies an accurate localized meshless collocation approach for solving two-
dimensional nonlinear integro-differential equation (2D-NIDE) with multi-term kernels. The …

The nonlinear wave phenomenon constitutes a significant research field and is a capable
mathematical model for representing the transmission of energy in physical processes. This …

This paper develops an efficient local meshless collocation algorithm for approximating the
time fractional evolution model that is applied for the modeling of heat flow in materials with …

This paper develops a localized radial basis function partition of unity method (RBF-PUM)
based on a stable algorithm for finding the solution of the sine–Gordon system. This system …

This paper proposes an efficient localized meshless technique for approximating the
viscoelastic wave model. This model is a significant methodology to explain wave …

In this paper, a new localized radial basis function (RBF) method based on partition of unity
(PU) is proposed for solving boundary and initial-boundary value problems. The new …

This paper develops a numerical approach for finding the approximate solution of the
Sobolev model. This model describes many natural processes, such as thermal conduction …

This paper focusses on the numerical technique based on a localized meshless collocation
method for approximating the Burgers-type equation in two dimensions. The method uses …

In this article adaptive refinement algorithms are presented to solve Poisson problems by a
radial basis function partition of unity (RBF-PU) collocation scheme. Since in this context the …