lecture12: Numerical solutions

Topics covered

• Numerical Approximation
• Finite Difference Method (FDM)
• Simple Example
• Simple Example: direct solution
• Simple Example: Euler's FDM
• Simple Example: end-conditions
• Simple Example: Euler's FDM
• Simple example: results
• Convergence of Euler's FDM
• Comments
• Ritz's method
• Upper bounds
• Simple Example
• Simple example: results
• Alternate approach
• example: alternative results