Numerical Methods Implementation

Presets

ODE: dy/dx = f(x,y)

Exact Solution y(x)

x₀

y₀

Step (h)

Steps (n)

Syntax Guide

Methodology

\( y_{n+1} = y_n + h \cdot f_n \)

\( y_{n+1} = y_n + \frac{h}{2}(k_1 + k_2) \)

\( y_{n+1} = y_n + \frac{h}{6}(k_1 + 2k_2 + 2k_3 + k_4) \)

n	xₙ	Exact y(x)	Euler		Improved Euler		RK4
n	xₙ	Exact y(x)	Value	Abs. Error	Value	Abs. Error	Value	Abs. Error