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

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

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

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

A fast Navier Stokes FD solver for a Lid Cavity flow problem written in C# and .NET 8 with WinForms.

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

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

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

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

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

Some basic algorithms for Procedural Geometry

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.

Reference implementations of sevelar ODE integration methods

YanPredictor

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