We develop an algorithm for numerically inverting multi-dimensional transforms. Our algorithm applies to any number of continuous variables (Laplace transforms) and discrete variables (generating functions). We use the Fourier-series method; i.e., the inversion formula is the Fourier series of a periodic function constructed by aliasing. This amounts to an application of the Poisson summation f...

The Adomian’s decomposition method (ADM) is a solution method with a wide range of applications including the solution of algebraic, differential, integral and integro-differential equations or system of equations. This method was first introduced by Adomian [1, 2] in the beginning of the 1980’s. In this method the solution is considered as an rapidly converging, infinite series. The convergenc...

Volterra series expansions are widely used in analyzing and solving the problems of non-linear dynamical systems. However, the problem that the number of terms to be determined increases exponentially with the order of the expansion restricts its practical application. In practice, Volterra series expansions are truncated severely so that they may not give accurate representations of the origin...

Decomposition method was first introduced by Adomian since the beginning of the 1980’s for solving wide range of problems whose mathematical models yield equation or system of equation involving algebraic, differential, integral and integro-diffrential [1, 2, 3]. This iterative method has been proven to be rather successful in dealing with linear problems as well as nonlinear. Adomian gives the...

In this paper time series identification problem amounts to estimating the unknown parameters of an ARMA model, which is transformed to an infinite AR model. A modification of the Least Squares method is proposed for the identification of an AR model of infinite order. The analysis of convergence of the LS estimates with probability 1 is carried out for an infinite case. Moreover, it is establi...

in this paper, a generalized method for accurate full-wave analysis of shielded mic's and the three-layer microstrip structure enclosed in a rectangular cavity based on mixed potential integral equation (mpie) derived in real space have been developed. method of moments (mom) with galerkin technique has been used for the solution of the integral equation to obtain the surface electric currents ...

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...

The present article deals with the analysis of thermal-bending stresses in a heated thin annular sector plate with simply supported boundary condition under transient temperature distribution using Berger’s approximate methods. The sectional heat supply is on the top face of the plate whereas the bottom face is kept at zero temperature. In this study, the solution of heat conduction is obtained...

The rigorous Method of Regularization is applied to the problem of electromagnetic scattering of plane waves by a finite array of partiallyshielded circular cylinders. A set of ill-posed dual series equations is resulted from imposing the mixed boundary conditions on the surface of each of the cylinders. Each of the M sets of dual series equations are treated separately using the Method of Regu...