A METHOD BASED ON THE SOLUTION OF AN AUXILIARY EQUATION

In this paper, numerical solution of a modified generalized regularized long wave (mGRLW) equation are obtained by a new method based on collocation of septic B – splines. Applying the von – Neumann stability analysis, the proposed method is shown to be unconditionally stable.

Received 3 February 2010; Revised 27 March 2010; Accepted 31 March 2010 Academic Editor: Alberto Cabada
Copyright q 2010 Soon-Mo Jung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc[r]

We note that if the observer is moving with velocity c, x 0 (t) = c, then the solution at their current location does not change because u t + cu x = 0. We will examine this more carefully.
By comparing Equations 43.1 and 43.2 we obtain ordinary differential equations represen[r]

[FF], an open-circuit voltage [ V oc ], and PCE were all improved as 1,8-octanedithoil was added until 3.5 vol.%. However, when adding over 4.5 vol.% of 1,8-octane- dithiol, the values of all characteristic parameters were decreased. As a result, when chlorobenze[r]

The paper “Extraction of 3D information from circular array measurements for auralization with wave field synthe- sis” by Diemer de Vries et al. presents two methods to extend the reproduction of room impulse responses measured with horizontal microphone arrays over repro[r]

This paper presents a method for detecting, classifying and localizing faults in MV distribution networks. This method is based on only two samples of current or voltage signals. The fault detection, faultclassi cation and fault localization are based on the maximum value of current and voltage as a[r]

and induced norm · and C is a nonempty closed convex subset of H , S : C → C is a nonexpansive mapping; that is, Sx − Sy ≤ x − y for all x, y ∈ C , P C denotes the metric projection of H onto C , and Fix S denotes the fixed points set of S .[r]

Figure 12: PSNR Y performance for di ff erent frames of Soccer CIF sequence at 720 kbps at E b /N o = 7 . 2 dB for Rayleigh fading channel.
ther implemented using RD optimization proposed in [ 12 ]. The results are reported in Figures 15 and 16 for AWGN and Rayleigh fading channels, r[r]

This also shows that subsequent error at each step is proportional to the square of the previous error and as such the convergence is quadratic.
Example 1. Find the real root of the equation x 2 – 5x + 2 = 0 between 4 and 5 by Newton- Rap[r]

The authors provide a heuristic argument in favor of their sampling scheme and establish the consistency of the sequential bootstrap. Our work on this problem is limited to [12 - 16] and [20 - 21]. In these references we consider bootstrap with a