Convergence and stability analysis of modified backward time centered space approach for non-dimensionalizing parabolic equationThe present paper is motivated by the desire to obtain the numerical solution of the heat equation. A finite-difference schemes is introduced to obtain the solution. The ...
BTCS – Backward Time Centered Space, FTCS – Forward Time Centered Space. Table 2. Numerical results for Example 1 at t=1. xExact (Ux,t)SDBBDF (ux,t)Error (Ux,t-ux,t) 0.1 0.0025 0.0024755 2.444E−05 0.2 0.01 0.0099652 3.473E−05 0.3 0.0225 0.0224587 4.123E−05 0.4 0.04 ...
The fBm on some probability space is a centered Gaussian process with continuous sample paths and covariance ≔where is the Hurst parameter. As a consequence, we have the -Hölder regularity of the fBm in , i.e., Further, we also have the -Hölder regularity of continuous trajectories,...
We use the backward Euler–Maruyama method for the approximation of the MSDE (1.5) on the partition, which is given by the recursion
Huygens' Principle (1678) implies that every point on a wave front serves as a source of secondary wavelets, and the new wave front is the tangential surface to all the secondary wavelets. But two problems arise: portions of wavelets that exist outside o
Home > Section > Chapter Neupauer, R.M.; Wilson, J.L. Ground Water 42(2): 175-189 2004 ISSN/ISBN:0017-467X 15035583 10.1111/j.1745-6584.2004.tb02666.x 004251649 Article emailed within 0-6 h Buy Now for$19.90 Payments are secure & encrypted ...
{1 + \alpha }{4}. Moreover, it turns out that the error constant does not grow exponentially with the final timeT. This is an important insight if the backward Euler method is used within an unadjusted Langevin algorithm [45], which typically requires large time intervals. See Theorem3.7...
1. The quenching of these excited species leads to: (1) radical seeding, including oxygen radicals, providing a useful method of bypassing chain initiation reactions [35], [36], [37], and (2) fast gas heating [29], [35], that occurs at nanosecond time scales. A recent review by ...