# DIFFERENTIAL EQUATIONS IN BASIC

Choose a source program (*.bas) by clicking the appropriate button.

 EULROMB.TXT EULROMB.BAS ADAMBASH.BAS ADAMBASH.TXT ADAMMOUL.BAS TEQDIF1.BAS RKUTTA.TXT TEQDIFN.BAS TEQDIFP.BAS STORMER.BAS STORMER.TXT TEQDIFPC.BAS TRKF45.BAS TROS4.BAS MGEAR1.BAS GEAR.PDF TAWP.BAS LAPLACE.BAS LAPLACE1.BAS LAPLACE2.BAS TABMOU.BAS TBULIRSC.BAS TRWP.BAS LIMITS.BAS TRK4.BAS TRK4N1.BAS TEQUDIF.BAS TSHOOT.BAS AWP.BAS FGAUSS.BAS T_DGLS.BAS GEAR.BAS MGEAR.BAS MGEAR.FRM PMGEAR.VBP
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

RETURN