Question

A solution to some algebraic equation is said to be consistent if _________

(a) the error is bounded

(b) the computation time is not prohibitive

(c) the numerical solution approaches the exact solution when time step and grid spacing tends to zero

(d) the solution does not change with further iterations

This question was addressed to me in an internship interview.

Question is taken from Discretization Aspects topic in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

The correct choice is (c) the numerical solution approaches the exact solution when time step and grid spacing tends to zero

The explanation is: A solution to some discretized algebraic equation is said to be consistent if that solution approaches the exact solution of the partial differential equation when time step and grid spacing are very small.