recent study examines the impact of good governance on the human development index. in the present study, the human development index (hdi) considered as dependent variable, good governance is independent variables and the development of communication technology has been considered as the moderator variable. the study approach is econometric panel data analysis and gls regression analysis was u...

We deal with an initial-boundary value problem for the generalized time-dependent Schrödinger equation with variable coefficients in an unbounded n–dimensional parallelepiped (n ≥ 1). To solve it, the Crank-Nicolson in time and the polylinear finite element in space method with the discrete transparent boundary conditions is considered. We present its stability properties and derive new error e...

In the present paper we consider the heat equation ut = Lu where L is a second-order difference operator in a discrete variable n. The fundamental solution has an expansion in terms of the Bessel functions of imaginary argument. The coefficients αk(n,m) in this expansion are analogs of Hadamard’s coefficients for the (continuous) Schrödinger operator. We derive an explicit formula for αk in ter...

In this paper based on a system of Riccati equations with variable coefficients, we presented a new Riccati equation with variable coefficients expansion method and its algorithm, which are direct and more powerful than the tanh-function method, sine-cosine method, the generalized hyperbolic-function method and the generalized Riccat equation with constant coefficient expansion method to constr...

In this paper, we present a comparative study between the modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method (FTVIM). The study outlines the efficiencyand convergence of the two methods. The analysis is illustrated by investigating four singular partial differential equations with variable coefficients. The solution of singular partia...

A new method is introduced for studying boundary value problems for a class of linear PDEs with variable coefficients. This method is based on ideas recently introduced by the author for the study of boundary value problems for PDEs with constant coefficients. As illustrative examples the following boundary value problems are solved: (a) A Dirichlet and a Neumann problem on the half line for th...