Question

It is difficult to analyse the stability of _________

(a) non-linear systems without boundary conditions

(b) linear systems with boundary conditions

(c) non-linear systems with boundary conditions

(d) linear systems without boundary conditions

The question was posed to me in exam.

Asked question is from Discretization Aspects in chapter Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

Right answer is (c) non-linear systems with boundary conditions

Easy explanation: While solving non-linear coupled equations with boundary conditions, analysing stability is difficult. So, the stability of a system is usually analysed for linear problems without boundary conditions. For non-linear systems, we rely on experience to know its stability.