Numerical Methods Visualiser

Explore root finding, integration, ODE solvers, and interpolation with interactive visualisations

Function

f(x) =

Method

a / x₀

b / x₁

Tolerance

Max Iterations

Animation

Step: 0

Compare Methods

Iteration Log

Click Step or Play to begin.

Function Plot

Convergence

Function

f(x) =

Interval & Panels

Panels n: 8

Method

Convergence Plot

Results

Configure and click Compute.

Integration Visualisation

Error vs n (log-log)

ODE: y' = f(t, y)

f(t, y) =

Exact y(t) = (optional)

Initial Conditions & Range

t₀

y₀

t_end

Method & Step Size

Step size h: 0.20

Animation

Step: 0

Results

Click Step or Play to begin.

Solution Curve

Error vs Step

Data Points

Click on the canvas to add points. Right-click to remove nearest.

Method

Lagrange Polynomial

Newton Divided Diff.

Cubic Spline

Show Basis Functions

Runge Phenomenon Demo

Points on 1/(1+25x²): 7

Point Coordinates

No points added yet.

Function

Method

Animation

Compare Methods

Iteration Log

Function Plot

Convergence

Function

Interval & Panels

Method

Convergence Plot

Results

Integration Visualisation

Error vs n (log-log)

ODE: y' = f(t, y)

Initial Conditions & Range

Method & Step Size

Animation

Results

Solution Curve

Error vs Step

Data Points

Method

Runge Phenomenon Demo

Point Coordinates

Interpolation Plot