In a previous work, [9], the authors introduced a new technique using a spline function to find an approximate solution for first order delay differential equations. In this presented paper, we develop and modify the lemmas in [9] so that the technique can be extended to work for the case of numerical approximation for solving system of first order delay differential equations. Error estimation...

Diffusion Monte Carlo results for the phonon-roton excitation branch in bulk liquid 4 He at zero temperature are presented. The sign problem associated to the excited wave function has been dealt both with the fixed-node approximation and the released-node technique. The upper bounds provided by the fixed-node approximation are shown to become exact when using the released-node method. An excel...

in this paper, differential transform method (dtm) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in hiv infections of cell. intervals of validity of the solution will be extended by using pade approximation. the results also will be compared with those results obtained by runge-kutta method. the technique is described and is illustrat...

in this paper, we propose a new method for solving the stochastic advection-diffusion equation of ito type. in this work, we use a compact finite difference approximation for discretizing spatial derivatives of the mentioned equation and semi-implicit milstein scheme for the resulting linear stochastic system of differential equation. the main purpose of this paper is the stability investigatio...

I present a technique for constructing self-similar curves from smooth base curves. The technique is similar to that used in Iterated Function Systems like the Koch curve, except that it does not require a piecewise linear path in order to induce a set of similarities. I explain the mathematical machinery behind the technique, describe a practical numerical approximation that can be implemented...

The closed forms of the non-resonant thermonuclear function in Maxwell–Boltzmann and Tsallis case with depleted tail are obtained generalized special functions. results written terms H-function two variables. importance this paper lies fact that reaction rate probability integrals Maxwell-Boltzmann cases not by conventional method approximation or means a single variable transform technique but...

We have calculated Heisenberg exchange parameters for bcc-Fe, fcc-Co, and fcc-Ni using the scalar-relativistic spin-polarized Green function technique within the tight-binding linear muffin-tin orbital method and by employing the magnetic force theorem to calculate total energy changes associated with a local rotation of magnetization directions. We have also determined spin-wave stiffness cons...

This paper describes a method of supervised learning based on forward selection branching. This method improves fault tolerance by means of combining information related to generalization performance and fault tolerance. The method presented focuses on the evolutive nature of the learning algorithm of Radial Basis Function Networks and employs optimization techniques to control the balance betw...

We introduce a technique called Concave, Adaptive Value Estimation (CAVE) to approximate recourse functions found in stochastic programs. CAVE constructs a sequence of concave (or convex) piecewise-linear approximations using sample gradients of the recourse function at di erent points in the domain. The result is a nonlinear approximation that is more responsive than traditional stochastic qua...

The acoustic field is obtained in terms of the wave number integration for a horizontally stratified ocean. The Inverse Hankel Transform is obtained for shallow water over a Layered inhomogeneous elastic bottom using “Direct global Matrix approach” with Fast Field Approximation Technique. This paper presents the determination of total solution for the depth dependence of the field: the depth de...