Work place: Faculty of Environmental Science and Engineering, Guangdong University of Technology, Guangzhou 510006, China
E-mail: fufenglian2006@163.com
Website:
Research Interests: Computational Science and Engineering, Engineering
Biography
Fenglian Fu, a teacher of Guangdong University of Technology. She received M.S. and Ph.D. degree in environmental engineering from Sun yat-sen University in 2004 and 2007, respectively. Her research interest is theories and technology of pollution control.
DOI: https://doi.org/10.5815/ijem.2012.02.06, Pub. Date: 6 Apr. 2012
In this paper, variational iteration method is applied for finding the solution of differential equations with piecewise constant arguments. A correction functional is constructed by a general Lagrange multiplier, which can be identified by variational theory. This technique provides a sequence of functions which converges to the exact solution of the problem without discretization of the variables. The flexibility and adaptation provided by the method have been verified by an example.
[...] Read more.DOI: https://doi.org/10.5815/ijisa.2011.04.07, Pub. Date: 8 Jun. 2011
The purpose of this paper is to study the numerical oscillations of Runge-Kutta methods for the solution of alternately advanced and retarded differential equations with piecewise constant arguments. The conditions of oscillations for the Runge-Kutta methods are obtained. It is proven that the Runge-Kutta methods preserve the oscillations of the analytic solution. In addition, the relationship between stability and oscillations are shown. Some numerical examples are given to confirm the theoretical results.
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