Science Graphs
Solve Nonlinear Ordinary Differential Equations

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Tel:(352) 687-4466
PO Box 831514
Ocala, FL 34483

Dr. Hanley's Science Graphstm is an easy to use Windows software package for creating multiple graphs directly from equations or from data files. The software can easily import line graphs generated by MultiSurface Aerodynamics, 3DFoil, VisualFoil and MultiElement Airfoils. This is useful for comparing computed results with experimental data or theoretical results.

Science Graphs can be used to generate numerical solutions of first and second order non-linear ordinary differential equations. This feature is ideal for checking your analytical solutions against Science Graph's Numerical Answers. Moreover, it can be used to solve nonlinear problems that are too difficult or impossible to obtain by hand calculations.

Science Graphs is useful for algebra, trigonometry, calculus, physics, differential equations and engineering. It can also be used to graph up to 1,000 x-y data points from an ASCII file. In addition, the software allows you to graph color contour curves of 2-dimensional data generated by equations and data files. It has a number of features for displaying the contour graph and the data grid.

Applications
Algebra
  • Use the equation editor to create and graph polynomials and other nonlinear functions.

  • Use the calculator tool to estimate the roots of functions.

  • Use the calculator tool to estimate the (x) value of a graph for a given (y) value.


Graphs of:  x^3-x^2-3x-2 and Sin(6*x)

Trigonometry
  • Use the equation editor to enter and graph sin, cos, tan and other trigonometric functions x.

  • Enter and graph parametric equations for x and y. For example, enter x=cos(th); y=sin(th) to graph the unit circle.

  • Use the proportional scaling function to display circular circles and not oval circles.


Graph of: x=Cos(th)*Sin(2*th); y=Sin(th)*Sin(2*th)

Calculus
  • Use the equation editor to enter and plot the derivative of an arbitrary function of x.

  • Use the equation editor to enter and plot the integral of an arbitrary function of x.

  • Use the calculator tools to integrate and differentiate graphed data points.

  • Use the calculator tools to find the definite integral of a curve between two limits.


Graphs of: Sin(x) and d(Sin(x))/dx

Ordinary Differential Equations
  • Use the equation editor to enter and plot numerical solutions of first order non-linear ordinary differential equations of the form y'=G(x,y).

  • Use the equation editor to enter and plot numerical solutions of second order non-linear ordinary differential equations of the form y''=G(x,y,y').


Solutions of: y''= y,  y''=-.4y'-y
and y''=-.8y'-y

Computation Fluid Dynamics
  • Import and plot contour data on a conforming structured grid.

  • Display various combinations of the grid and data.

  • Use the equation editor to plot contours or 2-D functions in (x,y) or polar coordinates.


Pseudospectral solution of viscous flow past a circular cylinder.

Aerodynamics:
The following figures show the use of Plus! Version of Science Graphs for graphing contours from arbitrary 2-Dimensional functions. Here, the application is aerodynamics, but the software can be used to plot contours for equations for any discipline.


Doublet Flow: 1/R*Sin(Th)


Circular Cylinder:-10*R*Sin(Th) + 1/R*Sin(Th)


Corner Flow: X*Y


Vortex Near Wall: Ln((X^2+(Y-.502)^2/(X^2+(Y+.502)^2)))

3-Dimensional Surfaces
Science Graphs Plus can generate plots of 3-Dimensional surfaces entered as equations or data. The following are graphs of the equation Z=Cos(4*R).

Features of Dr. Hanley's Science Graphs
The following are standard features of  Dr. Hanley's Science Graphs software.
Key: Standard Features (Blue);  Plus! Features (Red)

  • Graph Contour and Surface: Z = F(x,y)
  • Graph Contour and Surface: Z = F(R, Th)
  • Graph Contour and Surface from Disk File
  • Graph Contour Plot of Pressure, Density, Velocity Data Defined on a Conforming (x,y) Grid.
  • Display Contours and Grid Together
  • Display Contours and Grid Independently.
  • Display Wireframe Surface
  • Display Smoothly Shaded Surface
  • Numerically Solve and Graph:  y' = f(x,y) 
  • Numerically Solve and Graph:  y'' = f(x,y,y' )
  • Numerically Solve and Graph:  x' = f(x,y,t); y' = g(x,y,t) 
  • Numerically Solve and Graph:  x'' = f(x,x',y,y',t); y'' = g(x,x',y,y',t)
  • Enter and Graph Data Points with Built-in Editor
  • Graph Data Points From Disk (up to 1000)
  • Graph Data  Points from Clipboard (up to 1000)
  • Graph Equation: y = f(x)
  • Graph Equation: x = f(t); y=g(t)
  • Fit Data to a Straight Line
  • Fit Data to a Polynomial (up to 20th Order)
  • Compute Mean and Variance of X and Y Data
  • Graph up to 100 Curves
  • Delete Unwanted Curves
  • Change Curve Colors and Symbols
  • Change Background and Border Colors
  • Change Label and Text Colors
  • Add Text, Ovals, Rectangles and Arrows to your Graph
  • Create Linear-Linear, Linear-Log, Log-Linear and Log-Log X-Y Axes
  • Proportional Scaling; Circles are Circular & Squares are Square
  • Automatic or Manual Scaling
  • Zooming
  • Export Data to a Disk File
  • Copy Data to the Clip Board
  • Export Graph to a .BMP File
  • Copy Graph to the Clipboard so you can Import to Reports and Presentations
  • Save Your Work for Later

Single License: $149.00.
Telephone Order: 352-687-4466
Buy Online:
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System Requirements
Dr. Hanley's Science Graphs requires a PC running under Windows. A 66 mhz Pentium processor or better is recommended.

Copyright © Hanley Innovations 1996-2007