Oscillations analysis of numerical solutions for neutral delay differential equations

作者：Gao J F^*

来源：International Journal of Computer Mathematics, 2011, 88(12): 2648-2665.

DOI：10.1080/00207160.2011.554541

• oscillation
• neutral
• delay differential equations
• numerical method

In this paper, we will study oscillations of numerical solutions for the neutral delay differential equation
d/dt [y(t) + py(t - tau)] + qy(t - sigma) = 0,
where p is an element of R and p not equal 0, tau , q is an element of (0,+infinity), sigma >= 0. Conditions under which numerical solutions of the above differential equation are oscillatory are obtained. The condition that leads to oscillations of the linear theta-method is also given. To verify our results, we give numerical experiments.

• 出版日期2011
• 单位哈尔滨师范大学