Question

Which of these is wrong for the Lax-Wendroff technique?

(a) Linearization is needed

(b) Simultaneous equations are not required

(c) It is simple to solve

(d) It uses the finite difference method

I had been asked this question in a national level competition.

This key question is from Finite Difference Methods topic in chapter Finite Difference Methods of Computational Fluid Dynamics

Answer 1

Right option is (c) It is simple to solve

The explanation is: Lax-Wendroff technique uses the finite difference method to get time-dependent solutions. The need for linearization depends upon the equation to be solved. Simultaneous equations are not required as the resulting system is explicit. But the system is not simple to solve. It involves lengthy algebra to get the second order terms.