ODE-Solver-Integrator vs Least Squares Curve Fit Usage & Stats
The ODESolverIntegrator is a simple but elegant app to find the integral of ODEs.
You can solve (find the integral of) nonlinear ODEs.
You can reduce the higher order ODE to a set of first order ODEs.
You can solve (find the integral of) linear ODEs in the form of ẋ = Ax + Bu; y = Cx + Du.
This app uses Runge-Kutta 4th order algorithm to solve the ODEs.
Once the ODEs are solved, a beautiful interactive graph for each ODE's is created that you can share with other or save it locally.
The reduced ODE's equations are presented beautifully in the math-equation format.
You can compute definite integral (single, double, tripple). It uses the midpoint method.
It automatically saves your hard work locally on your device so you can come back and pick up from where you left off as your great effort will not be lost.
This app also has a Study page to help you learn important integration rules like, power rule, product rule, ect.
This app is perfect for students learning calculus.
Sharpen you brain by using this app and learning about the calculus.
This is an app for all student groups. From high school to college to university students.
Be creative. Enjoy the app!
- Apple App Store
- Free
- Education
Store Rank
- -
“Least Squares Curve Fit” is a user friendly, free of charge and free of ads app.
User inputs point sets and chooses function types.
Utilizing the Least Squares Linear Regression Method, the app calculates best fit curves, reports equations and draws graphs.
Point sets can be stored in a table and are available after app is closed.
Currently available function types are:
2D:
1. Line.
2. Parabola.
3. Polynomial up to 8th degree.
4. Circle.
5. Conic section (Ellipse or Hyperbola).
6. Trigonometric function as
C + A1*cos(ω*x) + B1*sin(ω*x) + … + An*cos(n*ω*x) + Bn*sin(n*ω*x),
where user can select n between 1 and 8 and enter any ω.
7. Exponential Function.
8. Bell Curve.
3D:
1. Plane.
2. Sphere.
Also, there is an option to choose the Best Fit:
the app goes through all the possible shapes and lists them in order from best to worst fit based on residuals.
In some cases, when the standard Least Squares method with orthogonal projection does not work, best fit for Line, Parabola, Polynomial and Trigonometric functions can be calculated with SVD.
Links to four other free apps by same developers are included in the app:
1. “Matrix Solver Step by Step” Linear Algebra Visual Guide.
2. “Polynomials and Linear Systems” Equation Solver.
3. “GraphMath” Graphing Calculator.
4. “Vectors and Planes” (and Spheres and Ellipsoids) 3D Geometry Guide.
Developers hope to get feedback from users at graphmath@aol.com.
- Apple App Store
- Free
- Education
Store Rank
- -
ODE-Solver-Integrator VS. 
Least Squares Curve FitDecember 16, 2024