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  • UQ-Applied Mathematical Analysis
  • Ordinary differential equations
  • Systems of ODE
  • Non-linear systems
  • Applications of Linear Second order Equations
  • Attractors
  • Velocity fields
  • Fourier series
  • Heat equation
  • Diffusion
  • Wave equation

UQ-Applied Mathematical Analysis

Author:
Juan Carlos Ponce Campuzano
Topic:
Differential Equation, Equations
UQ-Applied Mathematical Analysis

Table of Contents

  • Ordinary differential equations

    • Slope fields of ordinary differential equations
    • Slope and direction field plotter
    • Euler's Method
  • Systems of ODE

    • Classification of critical point of linear systems
    • Phase portrait of homogeneous linear first-order system DE
  • Non-linear systems

    • Lotka-Volterra model
    • Non-linear system
    • Lotka-Volterra predator-prey model
    • Lotka-Volterra system
  • Applications of Linear Second order Equations

    • Simple Harmonic Motion
    • Undamped Forced Oscillations
    • Free Vibrations with Damping
    • Forced Vibrations With Damping
  • Attractors

    • Lorenz attractor
    • Rössler attractor
    • Thomas' attractor
    • Rabinovich–Fabrikant attractor
    • Lorenz-84 attractor
  • Velocity fields

    • Velocity fields: Potential
    • Velocity fields: Particles 3d
    • Uniform flow past a circular cylinder
    • Uniform flow past a circular cylinder with circulation
  • Fourier series

    • Fourier series expansion
    • Fourier series - Example 1
    • Fourier series - Example 2
    • Fourier series - Example 3
    • Fourier series
  • Heat equation

    • Heat equation: visualisation tool
    • Heat equation
  • Diffusion

    • Diffusion equation
    • Diffusion
    • Diffusion random
  • Wave equation

    • Wave equation: d'Alembert's formula
    • Wave Equation on a Line
    • Wave Equation on a Half Line
    • Wave equation
Next
Slope fields of ordinary differential equations

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