I have tried to explain the multi-step-methods of solving ODEs via Adams-Bashforth and Adams-Moulton methods which are explicit and implicit methods respectively. I also have implemented them explicitly to solve for a system of ODEs, I have also done an explicit implementation of fourth order Runge-Kutta method in the process as it is needed.

YanPredictor

A Navier Stokes cell-centered FVM method - a testbed for experimenting with solutions on irregular and regular meshes in lid cavity environments.

Implementations of various numerical integration methods, written in plain Java.

Implementation of numerical methods to find solutions of systems of linear equations and find points in a curve given by a set of equations.

Some basic algorithms for Procedural Geometry

CFD solution of quasi-1D nozzle flows using finite difference approach

Algorithms used in classes. Numerical methods for ordinary differential equations.

Collection of fixed-step IVP solvers. Includes support for matrix-valued IVPs, and provides functions for generating IVP solver equations.

Python and MATLAB code to find the solution of First Order Differential Equations given a certain initial/boundary condition.

A fast Navier Stokes FD solver for a Lid Cavity flow problem written in C# and .NET 7 with WinForms.

Evaluating the Lorenz Attractor using Runge-Kutta, Predictor-Corrector and Euler methods.

A code based on the Method of Characteristics to solve the supersonic flow inside a nozzle

Extend scipy.integrate with various methods for solve_ivp

FdeSolver.jl: A Julia package for the numerical solution of fractional differential equations (FDEs) as well as systems of equations.