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3688544714

# 3688544714 - 12 Example 4 of Lecture Notes 13 Example 5 of...

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ME4906 Revision Questions (Part II) Chapter 5 1. How is partial differentiation defined? 2. EX2 of tutorial questions 3. Give an example for parabolic and elliptic PDEs respectively. 4. EX1 of tutorial questions 5. EX2 of tutorial questions 6. Give an example of numerical differentiation for the first derivative using first-order-accurate and second-order-accurate finite difference respectively. 7. Give an example of numerical differentiation for the second derivative using first-order-accurate and second-order-accurate finite difference respectively. 8. Question of Lab/Tutorial 1. 9. Write down the general PDE for 1D heat transfer problem in product analysis. Explain the coefficients of the PDEs. 10. What do we mean about boundary conditions and initial conditions? 11. List two types of boundary conditions and explain their physics meaning.
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Unformatted text preview: 12. Example 4 of Lecture Notes 13. Example 5 of Lecture Notes 14. The 1D unsteady-state heat transfer problem without heating source is to be solved by the finite difference method of first-order-accurate time derivative, and second-order-accurate space derivative. Use the notation of ( , ) T i l for temperature at x =i ∆ x, t=l t . Write down the discrete algebraic equations with unknown variables in the left-hand side and known quantities on the right-hand side. 15. EX6 of tutorial questions 16. EX7 of tutorial questions Chapter 6 1. What are the characteristics of FEM and finite difference methods? 2. What are the general approaches of using FEM to solve the 2D heat transfer problems?...
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