Week 17: Numerical Solutions of Ordinary Differential Equations
Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems.
Course Material
- Week 1: Introduction to Differential Equations
- Week 2: Differential Equations as Mathematical Models
- Week 3: First-Order Differential Equations
- Week 4: Exact Equations and Integrating Factors
- Week 5: Numerical Methods
- Week 6: Modelling With First-Order Differential Equations
- Week 7: Modelling with Systems of First-Order Differential Equations
- Week 8: Mid term examination
- Week 9: Higher-Order Differential Equations
- Week 10: Undetermined Coefficients- Superposition Approach. Undetermined Coefficients- Annihilator Approach.
- Week 11: Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination
- Week 12: Nonlinear Differential Equations
- Week 13: Modeling with Higher-Order Differential Equations
- Week 14: Linear Models: Boundary-Value Problems
- Week 15: Series Solutions of Linear Equations:
- Week 16: Systems of Linear First-Order Differential Equations
- Week 17: Numerical Solutions of Ordinary Differential Equations
- Week 18: final term examination
- Chapters 18
- Department CS & IT
- Teacher
Mr. Rana Safdar Ali
