The generalized Cattaneo model describes the heat conduction system in the perspective of
time-nonlocality. This paper proposes an accurate and robust meshless technique for …

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 …

Interpolation problems arise in many areas where there is a need to construct a continuous
surface from irregularly spaced data points. This problem has a number of solutions and …

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 …

The nonlinear sine-Gordon equation (NSGE) represents the classical solitary wave model
having a nonlinear sine source term in the theory of crystal dislocations. This paper focusses …

Recently, collocation-based radial basis function (RBF) partition of unity methods (PUMs) for
solving partial differential equations have been formulated and investigated numerically and …

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

Edge detection is a widely used tool in signal/image processing with the aim of identifying
abrupt changes or discontinuities in a signal/digital image. For the detection of jump …

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 …