In this study, a novel meshless collocation method based on the Gaussian–cubic hybrid
kernel function in conjunction with the ghost-points method and the general Newton …

We apply the Kansa–radial basis function (RBF) collocation method to two-dimensional
nonlinear boundary value problems. In it, the solution is approximated by a linear …

In this paper, we make the first attempt to apply the Gaussian-cubic basis function in the
novel backward substitution method for solving linear and nonlinear problems in irregular …

The Trefftz method is understood as an approximate method for solving boundary value
problems in which the approximate solution is a linear combination of trial functions …

We apply a variable shape parameter Kansa–radial basis function (RBF) collocation method
for the numerical solution of second and fourth order nonlinear boundary value problems in …

In this paper, a new framework for the numerical solutions of general nonlinear problems is
presented. By employing the analog equation method, the actual problem governed by a …

In the current research, a torsion of isotropic prismatic rods with elastic–plastic behavior
under non-linear hardening behavior, such as Swift, Voce, and Ramberg–Osgood relations …

The paper shows application of the method of fundamental solutions in combination with the
radial basis functions for analysis of fluid flow and heat transfer in an internally corrugated …

In this paper, the singularly perturbed nonlinear Burgers' problem (SPBP) with small
kinematic viscosity 0< ϵ≪ 1 is solved using a new Space–Time Localized collocation …

This paper addresses the application of a domain-type method of fundamental solutions
(MFS-D) together with a Picard iteration scheme for solving nonlinear elliptic partial …