In this article, a novel meshless local collocation method is proposed for the numerical
solution of the three-dimensional (3D) extended Fisher–Kolmogorov (EFK) equation. The …

During the past few years, the idea of using meshless methods for numerical solution of
partial differential equations (PDEs) has received much attention throughout the scientific …

In the present study, three numerical meshless methods are being considered to solve
coupled Klein–Gordon–Schrödinger equations in one, two and three dimensions. First, the …

This work offers two radial basis functions (RBFs) based meshfree schemes for the
numerical simulation of non-linear extended Fisher–Kolmogorov model. In the development …

This article provides numerical simulations of the time-fractional coupled Korteweg–de Vries
and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the …

In this paper, the meshless Generalized Finite Difference Method (GFDM) in conjunction
with the second-order explicit Runge-Kutta method (RK2 method) is presented to solve …

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

Mathematical modeling of pattern formation in developmental biology leads to non-linear
reaction–diffusion systems which are usually highly stiff in both diffusion and reaction terms …

In this paper, a local meshless differential quadrature collocation method based on radial
basis functions is proposed for the numerical simulation of one-dimensional Klein–Gordon …

In this paper three numerical techniques are proposed for solving the nonlinear sinh-Gordon
equation. Firstly, we obtain a time discrete scheme then we use the radial basis functions …