New insights in solving distributed system equations by the quadrature method-II. Numerical experiments

J. R. Quan, Chuei-Tin Chang

研究成果: Article同行評審

184 引文 斯高帕斯(Scopus)

摘要

The results of a series of numerical experiments are presented to verify some of the important points made in Part I of this paper. First, the numerical solutions of various linear and nonlinear differential equations, which were obtained by following the proposed general procedure, are compared with the analytical solutions. It can be observed that a high degree of accuracy is achieved in every case. Second, quadrature coefficients determined by using the explicit formulae derived in this work are shown to be more superior than those by the conventional approach of inverting the Vandermonde matrix. Third, the suggested grid point placement scheme is demonstrated to be better than any other available choice, including the one adopted in the orthogonal collocation method. Finally, the developed techniques are applied to obtain the solution of a chemical engineering problem.

原文English
頁(從 - 到)1017-1024
頁數8
期刊Computers and Chemical Engineering
13
發行號9
DOIs
出版狀態Published - 1989 一月 1

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Computer Science Applications

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