In this work, one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D)
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …

In this study, one-dimensional (1D) and two-dimensional (2D) coupled Schrödinger-
Boussinesq (SBq) equations are examined numerically. A local meshless method based on …

In this study, we examine numerical solutions of Zakharov–Rubenchik system which is a
coupled nonlinear partial differential equation. The numerical method in the current study is …

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 …

The multinode Shepard operator is a linear combination of local polynomial interpolants with
inverse distance weighting basis functions. This operator can be rewritten as a blend of …

More recently, it is discovered in the field of applied sciences and engineering that the
telegraph equation is better suited to model reaction-diffusion than the ordinary diffusion …

We construct cubature methods on scattered data via resampling on the support of known
algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF …

In this paper we propose an enhanced version of the residual sub-sampling method (RSM)
in Driscoll and Heryudono (2007) for adaptive interpolation by radial basis functions (RBFs) …

The estimation of the posterior probability density function (PDF) of unknown parameters
remains a challenge in stochastic nonlinear model updating with uncertainties; thus, a novel …

In this paper we improve the cubature rules discussed in Sommariva and Vianello (2021) for
the computation of integrals by radial basis functions (RBFs). More precisely, we introduce in …