A complete stability and convergence analysis is given for twoand three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified and alternating-direction schemes for the approximate solution of linear parabolic problems on rectangles. It is shown that the schemes are unconditionally stable and of optimal-order accuracy in space and time.

The conversion of carbon sources such as coal and methane into liquid fuels, methanol and alkanes, the latter via the Fisher-Tropsch process, requires careful control of the H2/CO ratio in synthesis gas. 1 The control is achieved in industry by the water-gas shift reaction. (Figure 1). 2 The study of carbon monoxide dehydrogenase (CODH) enzymes is significant to the water gas shift reaction bec...

This paper is devoted to the numerical comparison of methods applied to solve problems with nonlocal boundary conditions. Four numerical methods are compared, namely, finite differences method, Galerkin method, Keller Box scheme and orthogonal spline collocation method. Mathematics Subject Classification: 74S05, 74S20, 74S30, 74H15

support vector regression (svr) is a learning method based on the support vector machine (svm) that can be used for curve fitting and function estimation. in this paper, the ability of the nu-svr to predict the catalytic activity of the fischer-tropsch (ft) reaction is evaluated and the result is compared with two other prediction techniques including: multilayer perceptron (mlp) and subtractiv...

We extend the piecewise orthogonal collocation method to computing periodic solutions of coupled renewal and delay differential equations. Through a rigorous error analysis, we prove convergence relevant finite-element provide theoretical estimate error. conclude with some numerical experiments further support results.

Local Fisher Discriminant Analysis (LFDA) is a feature extraction method which combines the ideas of Fisher discriminant analysis (FDA) and locality preserving projection (LPP). It works well for multimodal problems. But LFDA suffers from the under-sampled problem of the linear discriminant analysis (LDA). To deal with this problem, we propose a regularized orthogonal local Fisher discriminant ...

The design and optimization of a natural gas to hydrocarbon liquids (GTL) process is considered, mainly from the view of maximizing the variable income during operation. Autothermal reforming (ATR) is used for synthesis gas production. The kinetic model for Fischer Tropsch (FT) reactions is the one given by Iglesia et al. for a cobalt-based FT reactor. For the product distribution, three altern...