Crank-Nicolson scheme for heat equation isQuestion 7Answera.None of theseb.consistent and stablec. consistent and unstable

The Crank-Nicolson scheme for the heat equation is consistent and stable. So, the correct answer is (b).

Here's a brief explanation:

The Crank-Nicolson method is a numerical method used to solve partial differential equations. It's known for its stability and accuracy. It's a two-step method that's both consistent and stable, which means it provides reliable results that converge on the true solution.

Consistency means that as the step size approaches zero, the numerical solution approaches the exact solution of the differential equation. Stability means that the errors in each step do not accumulate and cause the solution to diverge. The Crank-Nicolson method satisfies both of these conditions.