Question

The difference between the exact analytical solution of a partial differential equation and its numerical solution is as ___________

(a) round-off error

(b) discretization error

(c) iteration error

(d) modelling error

The question was asked in an international level competition.

The doubt is from Discretization Aspects topic in portion Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

Right answer is (b) discretization error

To explain I would say: Discretization error is the error arising due to the numerical solution of a partial differential equation. It includes the error due to the numerical approximation of the governing equations and the boundary conditions.