Oscillation Analysis of Numerical Solutions for Neutral Delay Differential Equations With Real Coefficients

ABSTRACT This manuscript is concerned with oscillation of numerical solutions for neutral delay differential equation with real coefficients. Applying the linear ‐methods, the difference equation is obtained. By investigating the roots of characteristic equation, the conditions of oscillation for numerical solutions are obtained. And the conditions under which the numerical methods preserve the oscillation are considered. Several numerical examples are given to confirm the corresponding conclusions.