
Program Description
 Quick Basic:
 Explanation File of program below (EULROMB) NEW
 Solve Y'= F(X,Y) with Initial Condition Y(X0)=Y0 using the EulerRomberg Method
 Solve Y'= F(X,Y) with Initial Condition Y(X0)=Y0 using the AdamsBashforth Method
 Explanation File of Program above (Adambash) NEW
 Solve Y'= F(X,Y) with initial conditions using the AdamsMoulton PredictionCorrection
Method NEW
 Differential equations of order 1 by RungeKutta method of order 4
 Explanation File of RungeKutta Method NEW
 Differential equations of order N by RungeKutta method of order 4
 Differential equations with p variables of order 1 by RungeKutta 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 Predictioncorrection method
 Integrate a System of Ordinary Differential Equations By the
RungeKuttaFehlberg 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 predictorcorrector method of AdamsBashforthMoulton
 Solve a system of first degree ordinary differential equations using
the extrapolation method of BulirschStoerGragg
 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 RungeKutta
 Solve a first order DE system (N=2) of the form y' = F(x,y,z), z'=G(x,y,z) using a RungeKutta
integration method
 Solve an ordinary system of first order differential equations (N<=10) with initial conditions
using a RungeKutta integration method
 Solve an ordinary system of first order differential equations (N<=10) with initial conditions
using a RungeKutta 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
