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Numerical-Methods-for-Differential-Equations

Numerical methods are used to find an approximation to those problems which are very difficult to solve symbolically. Codes are written in Python & MATLAB. For every algorithm an example has been used as well as a MATLAB live script or/and a jupyter notebook file has been added to each folder to see the results for the example.

Table of Contents

  • Eulers Method
    • Euler's Method
    • Modified Euler's Method
  • Runge-Kutta Method
    • Runge-Kutta of Second-Order
    • Runge-Kutta of Fourth-Order
  • Mid-Point Method
  • Heun's Method
  • Multi-Step Method
    • Adams-Bashforth Two-Step
    • Adams-Bashforth Three-Step
    • Adams-Bashforth Four-Step
    • Adams-Moulton Two-Step
    • Adams-Moulton Three-Step
    • Adams-Moulton Four-Step
    • Predator-Corrector Method
  • Laplace (PDE)
    • Heat equation using Finite Difference Method