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Program Description
- Quick Basic:
- Explanation File of program below (EULROMB) NEW
- Solve Y'= F(X,Y) with Initial Condition Y(X0)=Y0 using the Euler-Romberg Method
- Solve Y'= F(X,Y) with Initial Condition Y(X0)=Y0 using the Adams-Bashforth Method
- Explanation File of Program above (Adambash) NEW
- Solve Y'= F(X,Y) with initial conditions using the Adams-Moulton Prediction-Correction
Method NEW
- Differential equations of order 1 by Runge-Kutta method of order 4
- Explanation File of Runge-Kutta Method NEW
- Differential equations of order N by Runge-Kutta method of order 4
- Differential equations with p variables of order 1 by Runge-Kutta method of order 4
- Differential equation of order 2 by Stormer method
- Explanation File of Program above (Stormer) NEW
- Differential equation of order 1 by Prediction-correction method
- Integrate a System of Ordinary Differential Equations By the
Runge-Kutta-Fehlberg method (double precision)
- Solve a first order Stiff System of Differential Equations using the
Rosenbrock method of order 3 or 4
- Solve a first order Stiff System of Differential Equations using the implicit
Gear's method of order 4
- Explanation File for Gear's Method
- Test program of subroutine awp
- Solve Laplace Equation by relaxation Method: d2T/dx2 + d2T/dy2 = 0
Example #1: Temperatures in a square plate with limit conditions
- Solve Laplace Equation by relaxation Method: d2T/dx2 + d2T/dy2 = 0 (2)
Example #2: Temperatures in a rectangular plate with a hole
- Solve Laplace Equation by relaxation Method: d2T/dx2 + d2T/dy2 = 0 (3)
Example #3: Idem Example #1 with new limit conditions
- Solve an ordinary system of differential equations of first order using
the predictor-corrector method of Adams-Bashforth-Moulton
- Solve a system of first degree ordinary differential equations using
the extrapolation method of Bulirsch-Stoer-Gragg
- Solve a boundary value problem for a first order DE system via the shooting method
by determining an approximation for the initial values
- Solve a boundary value problem for a second order DE using Runge-Kutta
- Solve a first order DE system (N=2) of the form y' = F(x,y,z), z'=G(x,y,z) using a Runge-Kutta
integration method
- Solve an ordinary system of first order differential equations (N<=10) with initial conditions
using a Runge-Kutta integration method
- Solve an ordinary system of first order differential equations (N<=10) with initial conditions
using a Runge-Kutta integration method with time step control
- Solve a two point boundary problem of second order with the shooting method NEW
- Visual Basic:
- Solve an ordinary system of first order differential equations using
automatic step size control (used by Gear method)
- Gauss algorithm for solving linear equations (used by Gear method)
- Examples of 1st Order Systems of Differential Equations
- Implicit Gear Method Solver for program below
- Solve a first order Stiff System of Differential Equations using the implicit
Gear method of order 4
- Form file used by project mgear
- Project file mgear
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