Practice Finite Difference Method (fdm) (20.2.1) - Numerical Methods for PDEs (basic overview)

Practice: Finite Difference Method (FDM)

Lesson 20.2.1Numerical Methods for PDEs (basic overview)

Practise this section

10 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does FDM stand for?
Show hintHide hint
Think about how we approximate derivatives.
Question 2.
Name a common application of FDM.
Show hintHide hint
Consider phenomena modeled by PDEs.
3Question 3.
What does the acronym FDM stand for?
- Finite Difference Method
- Finite Derivative Method
- Functional Difference Method
Show hintHide hint
Think of how we approximate derivatives.
4Question 4.
True or False: The explicit method in FDM is unconditionally stable.
- True
- False
Show hintHide hint
Recall the conditions for stability in explicit methods.
Question 5.
Using FDM, solve the 1D heat equation with boundary conditions u(0,t)=0 and u(L,t)=100 over a domain of length L=10 with appropriate discretization.
Show hintHide hint
Draw out the grid and apply the finite difference formulas.
Question 6.
Propose a method to overcome the stability issues of explicit methods when implementing FDM. Discuss the advantages and potential limitations.
Show hintHide hint
Consider stability versus computational cost when discussing methods.

6 more questions in this section. Enroll free to practise them all.