5.2 - Finite Difference Methods (FDM)
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Practice Questions
Test your understanding with targeted questions
What does discretization in FDM involve?
💡 Hint: Think about how you might measure a continuous quantity.
What is the forward difference approximation formula?
💡 Hint: Remember that it uses values at x and a small step h away.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary function of Finite Difference Methods?
💡 Hint: Remember what we discussed regarding the functions of FDM.
True or False: Finite Difference Methods are limited to complex geometries only.
💡 Hint: Think about when we first introduced the methods.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Derive the FDM formula for the time-stepping in the heat equation starting from the original PDE.
💡 Hint: Carefully apply Taylor series expansions.
Discuss how the stability of the FDM solution can be affected by the choice of Δx and Δt.
💡 Hint: Review stability criteria linked with numerical methods.
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