Runge-Kutta Solver (RK4)

RK4 ODE solver

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ODE

Step size h

RK4 Final

2.71827974

Exact

2.71828183

Global Error

2.0843e-6

10 steps

Iterations

0x=0.000y=1.000000err=0.0e+0

1x=0.100y=1.105171err=8.5e-8

2x=0.200y=1.221403err=1.9e-7

3x=0.300y=1.349858err=3.1e-7

4x=0.400y=1.491824err=4.6e-7

5x=0.500y=1.648721err=6.3e-7

6x=0.600y=1.822118err=8.4e-7

7x=0.700y=2.013752err=1.1e-6

8x=0.800y=2.225540err=1.4e-6

9x=0.900y=2.459601err=1.7e-6

10x=1.000y=2.718280err=2.1e-6

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About Runge-Kutta Solver (RK4)

A 4th-order Runge-Kutta (RK4) solver for initial value problems dy/dx = f(x,y). Computes k₁, k₂, k₃, k₄ at each step. Shows iteration table with intermediate values. Compare with Euler method. Select from preset ODEs. All calculations are client-side. Essential for numerical ODE solving.

Runge-Kutta Solver (RK4) Features

RK4 method
k-values
Step table
Euler compare
Presets

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