Abstract Background/Objectives: The approximation using radial basis function (RBF) is an
extremely powerful method to solve partial differential equations (PDEs). This paper …

The collocation technique based on the radial basis functions (RBFs) method is simple and
efficient for solving a wide area of problems. But the mentioned technique is poor for solving …

In this article, barycentric rational interpolation and local radial basis functions (RBFs) based
numerical algorithms are developed for solving multidimensional sine‐Gordon (SG) …

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 …

The main aim of this research work is to find the numerical solution based on a meshless
technique for both the time-dependent Cahn–Hilliard and tumor growth partial differential …

An accurate determination of the pressure gradient is required for efficient designing of oil
and gas wells and pipe systems. Despite the recent improvements in accuracy of models …

In this study, the direct meshless local Petrov–Galerkin (DMLPG) method has been
employed to solve the stochastic Cahn–Hilliard–Cook and Swift–Hohenberg equations. First …

The conventional strong form collocation approach known as Differential Quadrature (DQ)
method has been applied in the past to a vast type of engineering problems. It is well-known …

In this paper, we present a high-order accurate compact scheme for the phase field crystal
model in two-and three-dimensional spaces. The proposed scheme is derived by combining …

In the present work, we investigate the numerical solution of time-fractional telegraph
equation by a local meshless method. The fractional-order derivative is defined in the …