Year: 2021
Author: Haiyan Zhang, Hui Liang
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 758–787
Abstract
A class of index-1 integro-differential algebraic equations modeling a hydraulic circuit that feed a combustion process is considered. The existence, uniqueness and regularity are analyzed in detail. Two kinds of collocation methods are employed to solve the equation numerically. For the first one, the derivative and algebraic components are approximated in globally continuous and discontinuous polynomial spaces, respectively; and for another one, both the derivative and algebraic components are solved in globally continuous piecewise polynomial spaces. The convergence, global and local superconvergence are described for these two classes of collocation methods. Some numerical experiments are given to illustrate the obtained theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2021-IJNAM-19949
International Journal of Numerical Analysis and Modeling, Vol. 18 (2021), Iss. 6 : pp. 758–787
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Integro-differential algebraic equations tractability index regularity collocation methods convergence analysis.