This article investigates the numerical solution of the nonlinear integro-differential equations.
The numerical scheme developed in the current paper is based on the moving least square …

This paper introduces a novel localized radial Trefftz collocation method (LRTCM) for steady-
state heat conduction analysis in 2D and 3D functionally graded materials (FGMs) with …

The Ginzburg–Landau equation has been used as a mathematical model for various pattern
formation systems in mechanics, physics and chemistry. In this paper, we study the complex …

A new adaptive moving least squares (MLS) method with variable radius of influence is
presented to improve the accuracy of Meshless Local Petrov–Galerkin (MLPG) methods and …

For the first time in mathematical finance field, we propose the local weak form meshless
methods for option pricing; especially in this paper we select and analysis two schemes of …

In viscoelastic anisotropic media, the elastic moduli, slowness vector, phase, and ray
velocity are all complex-valued quantities in the frequency domain. Solving the complex …

Abstract The meshless local Petrov–Galerkin (MLPG) method is extended using an
improved primitive variable formulation to solve the two-dimensional laminar natural …

The applications of the Eikonal and stationary heat transfer equations in broad fields of
science and engineering are the motivation to present an implementation, not only valid for …

In this paper, a method for the numerical pricing of American and European options under
the Black–Scholes model is introduced. This approach is meshless local Petrov–Galerkin …

In this paper, the finite point method (FPM) is presented for solving nonlinear reaction–
diffusion systems which are often employed in mathematical modeling in developmental …