Qi Wang

Work place: Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China

E-mail: bmwzwq@126.com


Research Interests: Analysis of Algorithms, Numerical Analysis, Comparative Programming Language Analysis


Qi Wang was born in Yichun, Heilongjiang, China in 1978. He is a math teacher of Guangdong University of Technology. He received his B.S. degree in applied mathematics from Heilongjiang University in 2002 and the M.S. degree in pure mathematics from Harbin Institute of Technology in 2004. His research interests include numerical analysis of delay differential equation, stochastic differential equation and impulsive differential equation. 

Author Articles
Variational Iteration Method for Solving Differential Equations with Piecewise Constant Arguments

By Qi Wang FengLian Fu

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.

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Numerical Oscillations of Runge-Kutta Methods for Differential Equations with Piecewise Constant Arguments of Alternately Advanced and Retarded Type

By Qi Wang FengLian Fu

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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