Predictor-Corrector type methods for solving initial value problems along with convergence and instability criteria
Course Material
- Forward and backward difference formulae
- Centered difference formulae and Lagrange interpolation
- Newton’s divided difference formula
- Interpolation with a cubic spline
- Hermite interpolation
- Least squares approximation
- Difference Equations
- Formation of Difference equation
- Mid Term Exams
- Newton-Cotes formulae and Richardson’s extrapolation
- Numerical integration: Rectangular rule, trapezoidal rule, Simpson’s 1/3 and 3/8 rules
- Boole’s and Weddle’s rules and Gaussian Quadrature
- Differential Equation and Taylor's series method
- The Euler and modified Euler method, Runge-Kutta methods
- Predictor-Corrector type methods for solving initial value problems along with convergence and instability criteria
- Finite difference
- Collocation and Variational method for boundary value problems
- Final Term Exams
- Chapters 18
- Department Mathematics(SCB)
- Teacher
Muhammad Arshad Chaudhry
