Week 10: Difference Equations: Introduction to numerical solutions
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Course Material
- Week 01: Numerical Integration: Introduction, Newtone-Cotes formulae
- Week 02: Rectangular Method, Grid method. Trapezoidal Rule
- Week 03: Simpson’s 1/3 Rule Simpson’s 3/8 Rule,
- Week 04: Boole's Rule, Weddle’s rule
- Week 05:Numerical Solution of ODE: Initial Value Problem, Boundary Value Problem, Euler method,
- Week 06: Modified Euler method Runge Kutta Methods, RK4
- Week 07: Multi step methods: Milne's methods, Adam Bash-forth methods
- Week 08: Linear Operators: Delta operator, average operator
- Week 09: Mid Term Examination
- Week 10: Difference Equations: Introduction to numerical solutions
- Week 11: Linear Difference equations, homogeneous difference equations
- Week 12: Inhomogeneous difference equations: Type I and Type II
- Week 13: Inhomogeneous difference equations: Type III
- Week 14: Inhomogeneous difference equations: Type IV
- Week 15: Inhomogeneous difference equations: Type V
- Week 16: Inhomogeneous difference equations: Type VI
- Week 17: Maple programming to implement numerical methods
- Week 18:Final Term Examination
- Chapters 18
- Department Mathematics
- Teacher
Dr. Ahmad Muhammad Mumtaz
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