Rainbow + ODEcalc + CurvFit Software 4 Engineers & Scientists
Reg. $0.00

Fortran Calculus - Ordinary Differential Equations
Reg. $1,000,000.00


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Problem-Solving Application Example #2

ODEcalc (tm): an ODE Calculator!

2 curves: y & ydot
    An Ordinary Differential Equation (ODE) Calculator! State your equation with boundary or initial value conditions and ODEcalc will solve your problem. Plots solution (y) and derivative (ydot) versus x. Solves most Boundary Value Problems (BVP) & Initial Value Problems (IVP) for any order ODE. ODE may be non-linear, implicit, and any order. Source code included ... it's short! ODEcalc helps one understand difference in BVP & IVP and their importance in solving practical differential equations. PDEs, ODEs and algebraic system of equations may be solved using the methodology in this demo. Great for learning BVP & IVP solution techniques. Solvers used are based on Automatic Differential (AD) and Operator Overload techniques.
    ODEcalc was made possible due to the Fortran Calculus compiler. The source code (ODE4user.fc) file is included in order to show the Fortran Calculus programming simplicity. ODEcalc was written to show that differential equations are solved without numerical algorithms from the user. Differential equation problems are solved with little code other than ones equations. One initial value problem required only 19 lines of code in order to be solved! Download FC-Win a front-end program for Fortran Calculus with some 50+ example problem files for viewing and as templates for your problems. For more on the Fortran Calculus language see Calculus-level Compiler info.

(Click Any Image To Enlarge)
ODE Solution Y & Ydot Curve Plots
ODE Solution Y & Ydot Plots


    Description Price
1.   ODEcalc: ODE Calculator Software 4 Engineers & Scientists $0.00
2.   Rainbow + ODEcalc Software 4 Engineers & Scientists $0.00
3.   Rainbow + ODEcalc + CurvFit Software 4 Engineers & Scientists $0.00
4.   Fortran Calculus - Ordinary Differential Equations $1,000,000.00
All prices in US Dollars

Problem-Solving Application Examples include:

CurvFit: a curve fitting program with Lorentzian, Sine, Exponential and Power series are available models to match your data.

ODEcalc: an Ordinary Differential Equation Calculator! Solves BVP & IVP.

Match-n-Freq: a Matched Filter program used to filter signals and slim pulses.

Robot4: Robotic Arm Movement; determines how to get from a point to another point.

Industry Problem-Solving Descriptions include:

AC Motor Design: a simulation program for A.C. motor design that was reapplied as a constrained optimization problem with 12 unknown parameters and 7 constraints.

Body Plasma Chemistry: determine the concentration of a Therapeutic treatment drug that is in the body over a period of time.

Efficient Solar Cells: Modeling a Nanostructured Solar Cell. Problem: How to develop solar cells with a new (higher) efficiency; grätzel cells.

Pulse Slimming to minimize InterSymbol Interference: via Arbitrary Equalization with Simple LC Structures to reduce errors.

Voice Coil Motor: basically an electromagnetic transducer in which a coil placed in a magnetic pole gap experiences a force proportional to the current passing through the coil.

Heat Transfer Boundary Value Problem: Solves second order Differential Equation for temperature distribution in a tapered fin.

Electrical Filter Design: find the transfer function's poles & zeros; H(s) = Yout(s) / Yin(s).

Digitized Signal from Magnetic Recording: Magnetic recording of transitions written onto a computer disc drive may produce an isolated pulse as shown.

PharmacoKinetics: an open-two- compartment model with first order absorption into elimination from central compartment is presented here.

Rocket Feed System: illustrates solving implicit differential equations that model a liquid propellant rocket feed system in the presence of a longitudinal vibration.

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