Journal of applied mathematics & informatics
- 제22권1_2호
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- Pages.317-329
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A PETROV-GALERKIN METHOD FOR A SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITH NON-SMOOTH DATA
- Zheng T. (Department of Civil and Buikding Engineering, Loughborough University) ;
- Liu F. (School of Mathematical Science, Queensland University of Technology)
- 발행 : 2006.09.01
초록
In this paper, a singularly perturbed ordinary differential equation with non-smooth data is considered. The numerical method is generated by means of a Petrov-Galerkin finite element method with the piecewise-exponential test function and the piecewise-linear trial function. At the discontinuous point of the coefficient, a special technique is used. The method is shown to be first-order accurate and singular perturbation parameter uniform convergence. Finally, numerical results are presented, which are in agreement with theoretical results.
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