week 12 finite difference-operator algebra and forms of polynomials
Course Material
- week 1 introduction: basic ideas, concept, terminology and elements of a numerical method
- week 2 differential formulation, solution domain and mesh
- week 3 discretization, set of algebraic equations
- week 4 solution algorithm
- week 5 Preview: choice of numerical mesh, Cartesian
- week 6 polar-cylindrical and general orthogonal
- week 7 regular non-orthogonal and arbitrary triangular meshes
- week 8 discretization, truncation and discretization errors
- week 9 newton's method of solving algebraic equation of single variable and Crammer's rule for solving set of equations
- week 10 round off errors and their estimation
- week 11 Polynomials and finite differences: collocation-type polynomials
- week 12 finite difference-operator algebra and forms of polynomials
- week 13 relationship to Taylor series
- week 14 Finite difference: differences and Differential operators
- week 15 basic operator relations, relations of first, second and higher order derivatives to difference series
- week 16 solutions errors
- Chapters 16
- Department Engineering Technology
- Teacher
Mr. Ali Haider
