Mechanical system is usually composed of multiple complex structures, which endure the
combine action of multi-physical fields (eg, flow field, thermal field, structural field, and so …

In this paper, we propose a numerical method for the solution of time fractional nonlinear
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …

The moving least square (MLS) approximation is one of the most important methods to
construct approximation functions in meshless methods. For the error analysis of the MLS …

In this paper, an attractive idea using moving least squares (MLS) and spectral collocation
method is extended to estimate the solution of nonlinear stochastic Volterra integro …

In this research, we propose a numerical scheme to solve the system of second-order
boundary value problems. In this way, we use the Local Radial Basis Function Differential …

The main intention of the present work is to develop a numerical scheme based on radial
basis functions (RBFs) to solve fractional stochastic integro-differential equations. In this …

In this article, an idea based on moving least squares (MLS) and spectral collocation method
is used to estimate the solution of nonlinear stochastic Volterra–Fredholm integral equations …

In order to implement rail crack detection with acoustic emission (AE) technology in the
actual application, an important problem to be solved is how to overcome the noise …

The element free Galerkin technique is a meshless method based on the variational weak
form in which the test and trial functions are the shape functions of moving least squares …

In recent years, there have been extensive efforts to find the numerical methods for solving
problems with interface. The main idea of this work is to introduce an efficient truly meshless …