17.14 - Numerical Solution Techniques
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does the Finite Difference Method (FDM) do?
💡 Hint: Think about how it transforms a differential equation into manageable parts.
What is the main advantage of numerical methods?
💡 Hint: No hint provided
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Finite Difference Method (FDM) approximate?
💡 Hint: Remember that FDM deals with both dimensions.
Is the Finite Element Method suitable for complex geometries?
💡 Hint: Think about the capability of FEM discussed in class.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the Finite Difference Method, derive the iterative formula to approximate the wave equation on a string of length L and tension T. Assume small displacements and use a grid of 10 segments.
💡 Hint: Think about how the grid influences your calculations based on previous steps.
Evaluate a structure using FEM. Consider a beam with varying cross-section under a static load. Discuss how you would set up the problem including nodes and elements.
💡 Hint: Make sure to think about where each change occurs in the structure to set the elements effectively.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.