ODE Initial Value Solver
Enter a first-order scalar differential equation and initial value to generate a fourth-order Runge-Kutta solution table and compare two step sizes.
ODE Initial Value Solver User manual
- Fill in the parameters or select the file according to the form, and check the unit and format first.
- Enter the derivative y, the initial x is 0 and y is 1, the termination x is 1, and the end value is close to the natural constant E.
- Click the processing button to view the results, you can copy or download and save.
Calculation method and processing rules
Run the basic steps and double steps respectively, compare the numerical solutions in the same coordinates, and display the error estimate of the difference divided by 15.
scope of use
Only the smooth and non-rigid first-order real equation is only solved, and the non-symbol solution is solved; the grid difference does not guarantee the real error, and the singularity or overflow will be suspended.
Will the input content be saved on the server?
This tool handles input in the browser, and does not upload files or form content. Typing practice scores are only saved in the native browser.
Why may the result be different from other tools?
Only the smooth and non-rigid first-order real equation is only solved, and the non-symbol solution is solved; the grid difference does not guarantee the real error, and the singularity or overflow will be suspended. Please compare the input unit, rounding method, applicable rules and data version first.