ODEs Solver

First-Order Ordinary Differential Equation (ivp) using Runge-Kutta 4th Order(RK4) method. To approximate the solution of the initial value problem (ivp) y ' =f(x,y) with y(a)=yo over [a,b] and subinterval M.
Source code in Delphi 10.4 Community Edition(CE).

Second-order ODE Solver using Runge-Kutta-Fehlberg (RKF45)

To solving initial value problem (ivp) second-order Ordinary Differential Equation(ODE) using Runge-Kutta-Fehlberg formula (RKF45). This formula got advantages than the RK4 classic, RKF45 have Error Estimation. In this project, use math parser pymep, so we can input equation at runtime.
Source code in python(PyCharm).

Linear Shooting Method

To approximate the solution of the boundary value problem (bvp) x '' = p(t) x'(t) + q(t) x(t) + r(t) with x(a) = alpha and x(b) = beta over the interval [a , b], subinterval M by using the Runge-Kutta method of order.
Source code in Lazarus 1.6.4

Third-Order Differential Equation

This problem solve using Runge-Kutta fourth-order formula(RK4)
Diff equation Y'''(t)=F(t,y,y',y'') use IVP(Initial Value Problem).
Source code in C#(Visual Studio 2017 CE).

System of Ordinary Differential Equations

The solving of the first-order system of two differential equations: (Y'(t) = F(t, x, y)) and (X'(t) = F(t, x, y)), IVP (Initial Value Problem).
Source code in C#(Visual Studio 2017 CE).

ODEs Solver

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