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Outline
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
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
Systes of ODE with 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
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