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Numerical Spline Techniques-II (MATH-925)
Week 18: Final Term Exam
Week 18: Final Term Exam
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Course Material
Week 01: Classification of linear/non-linear second orders ODEs. Discuss the types of boundary conditions
Week 02-03: Theory and implementation of numerical methods for initial and boundary value problems in ordinary differential equations.
Week 04-05: One-step, linear multi-step, Runge-Kutta, and Extrapolation methods; convergence
Week 06-07: stability, B-spline collocation methods for numerical solution of initial and boundary values problems
Week 08: B-spline for solving class of singular and non-singular problems
Week 09: Mid Term Exam
Week 10: B-spline for solving class of singular and non-singular problems
Week 11-13: Trigonometric B-spline approach for solving second order system of linear/non-linear ODEs.
Week 14-15: B-spline solution for nonlinear differential equation arising in general relativity
Week 16-17: Bratu’s problem, Perturbation’s problem
Week 18: Final Term Exam
Chapters
11
Department
Mathematics
Teacher
Dr. Muhammad Abbas