The development of the method of fundamental solutions (MFS) and related methods for the
numerical solution of scattering and radiation problems in fluids and solids is described and …

This self-explanatory guide introduces the basic fundamentals of the Finite Element Method
in a clear manner using comprehensive examples. Beginning with the concept of one …

In this paper, we demonstrate the efficiency and accuracy of the multiquadric collocation
method as compared to the finite element method. When used as interpolants, the …

In this work a technique is proposed for solving partial differential equations using radial
basis functions. The approach is different from the traditional schemes. The radial basis …

Although the Trefftz finite element method (FEM) has become a powerful computational tool
in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat …

Both overlapping and nonoverlapping domain decomposition methods (DDM) on matching
and nonmatching grid have been developed to couple with the meshless radial basis …

Radial basis function method is an effective tool for solving differential equations in
engineering and sciences. Many radial basis functions contain a shape parameter c which is …

In this paper we develop a meshless method for modeling groundwater contaminant
transport. The algorithm uses collocation method with radial basis functions. Numerical …

In this research, we propose two different methods to solve the coupled Klein–Gordon–
Zakharov (KGZ) equations: the Differential Quadrature (DQ) and Globally Radial Basis …

An implicit Galerkin meshfree scheme based on the element-free Galerkin (EFG) and the
backward Euler methods is analyzed for general second-order parabolic problems. The …