1.10.1 - Finite Difference Method (FDM)
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Practice Questions
Test your understanding with targeted questions
What does FDM stand for in the context of numerical methods?
💡 Hint: What do you call the method that breaks apart continuous data into pieces?
What is the purpose of discretization in FDM?
💡 Hint: Think about what happens when we divide time into smaller segments.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of the Finite Difference Method?
💡 Hint: Think about its main uses in dynamic analysis.
True or False: FDM can only be used for linear equations.
💡 Hint: Consider what types of equations you’ve learned about.
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Challenge Problems
Push your limits with advanced challenges
Calculate the displacement of a mass subjected to a harmonic force using FDM for five time steps considering initial displacement and velocity.
💡 Hint: Use the governing equation for FDM and remember to apply initial conditions correctly.
Assess the computational efficiency of solving a complex MDOF system using FDM and suggest methods to optimize performance.
💡 Hint: Think about how larger time increments affect precision and resource requirements.
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