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Initial Value Problems
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IKC-MH.55 Scientific Computing with
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The Composite Trapezoidal Rule
Contents
Differential Equations
Subsections
Initial Value Problems
Projectile Motion with Air Resistance
Planetary Motion
Euler Method
Runge-Kutta Method
Second Degree Equations
Boundary Value Problems
Trial-and-Error (Linear Shooting) Method
Laplace Equation in Electrostatics
Eigenvalue Problems
Standing Waves on a String
Numerical Solutions of Schrödinger Equation
Hydrogen Atom
Special Functions
Legendre Polynomials
Hermite Polynomials
Quantum Harmonic Oscillator
