Question

What is the disadvantage of the Lax-Wendroff technique?

(a) Stability

(b) Explicit

(c) Order of accuracy

(d) \((\frac{\partial ^2 \rho}{\partial t^2 })_{i,j}^t\)

The question was posed to me in an interview.

This intriguing question comes from Finite Difference Methods in chapter Finite Difference Methods of Computational Fluid Dynamics

Answer 1

The correct choice is (d) \((\frac{\partial ^2 \rho}{\partial t^2 })_{i,j}^t\)

The best I can explain: The second order term in the Taylor series expansion of the Lax-Wendroff technique is its disadvantage. This term leads to a complex algebra while getting it using the difference schemes. The lengthy algebra here is the only considerable disadvantage of this technique.