Oscillation of θ-methods for the Lasota-Wazewska model

  • Qi Wang School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006
  • Jieyi Yao School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006
Keywords: Lasota-Wazewska model; θ-methods; Oscillation; Non-oscillation


The aim of this paper is to discuss the oscillation of numerical solutions for the Lasota-Wazewska model. Using two θ-methods (the linear θ-method and the one-leg θ-method), some conditions under which the numerical solutions oscillate are obtained for different range of θ. Furthermore, it is shown that every non-oscillatory numerical solution tends to the fixed point of the original continuous equation. Numerical examples are given.


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How to Cite
Wang, Q., & Yao, J. (2019). Oscillation of θ-methods for the Lasota-Wazewska model. Journal of Progressive Research in Mathematics, 15(3), 2682-2694. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1796