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Course Weekly Lecture Plan

Week Topic
1 Initial Value Problems, Existence and Uniqueness Theorems,
Existence and Uniqueness Theorems, Well-Posed Problem
Single Step Methods; Euler Method
Taylor Series Method, Runge-Kutta Method
Multi-Step Methods; Adams-Bashforth Method
Adam-Moulton Method. N Order Equations and System of Equations
N Order Equations and System of Equations
Boundary Value Problems/ Linear Shooting Method
Midterm
Nonlinear Shooting Method
Finite Difference Method
Rayleigh-Ritz Method
Collocation Method, Galarkin Method
Finite Element Method. Eigen Value Problems
 
 
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