README.md

Linear Multistep Method solver

In the file you can check some examples of linear multistep methods and their parameter values.

1. Adam Bashforth (AB, Explicit Adam)

2. Adam Moulton (AM, Implicit Adam)

3. Backward Differentiation Methods (BDF, Implicit)

This code uses Newton's Method for implicit problems.

I recommend checking solutions with ODE45 MATLAB function (which aproximates the solutions with Runge-Kutta4). I also have a RK4 solver in my other directory that can be used for parameter checking.

Quarteroni, A., Sacco, R., & Saleri, F. (2010). Numerical mathematics (Vol. 37). Springer Science & Business Media.