Question

Which of these is important while solving a system with implicit methods?

(a) Linearizing the difference equation

(b) Linearizing the partial differential equation

(c) Normalizing the difference equation

(d) Normalizing the partial differential equation

This question was addressed to me in an internship interview.

The question is from CFD Techniques topic in chapter Some Simple CFD Techniques of Computational Fluid Dynamics

Answer 1

Right choice is (a) Linearizing the difference equation

To explain: The nature of the original PDE should not be changed while solving the problem. If the problem is non-linear in PDE, to make it solvable by the implicit scheme, the difference equation should be linearized.