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Program Description
- 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 to N by Runge-Kutta method of order 4
- Explanation File of Runge-Kutta Method NEW
- Test program of above unit for N=1 and 1 variable
- Test program of above unit for N=1 and 1 variable with graph option
- Test program of above unit for N>1 (maximum N=9) and 1 variable
- Test program of above unit for N>1 (maximum N=9) and 1 variable
with graph option
- Test program of above unit for N=1 and P variables
- Test program of above unit for N=1 and P variables with graph option
- Differential equation of order 2 by Stormer method
- Explanation File of Program above (Stormer) NEW
- Differential equation of order 1 by Prediction-correction method
- Unit used by program below (urkf45.pas)
- 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 an ordinary system of first order differential equations using
automatic step size control (used by Gear method and rwp)
- Test Program of procedure awp
- 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's method of order 4
- Explanation File for Gear's Method
- 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 (used by rwp)
- Test Program of Adams-Bashforth-Moulton's Method
- Solve a system of first degree ordinary differential equations using
the extrapolation method of Bulirsch-Stoer-Gragg (used by rwp)
- Test Program of Bulirsch-Stoer-Gragg's Method
- Solve a two point boundary problem of first order with the shooting method (rwp)
- Driver program to 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
- Unit EQUDIF to solve First Order ODE systems used by program below
- Optional unit UTILS1 for screen output used by progral below
- 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
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