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Parameters¹

Initial Temperature, u₀ (°C)

Ambient Temperature, T (°C)

Cooling Constant, k (min⁻¹)

End Time (min)

Time Step, dt

Animation Speed

5×

Cold

Hot

Ambient: 22°C

95.0°C

COFFEE MUG

Ready - press Start to begin

Current Temp

Elapsed Time

Cooling Rate

Exact solution

Numerical (Improved Euler²) Analytical³ Ambient

Cite this tool

DOI: https://doi.org/10.5281/zenodo.20981179

Kapita, S. (2026). Newton's Law of Cooling. Math Tools. https://doi.org/10.5281/zenodo.20981179

Kapita, Shelvean. "Newton's Law of Cooling." Math Tools, 2026, doi.org/10.5281/zenodo.20981179.

@online{kapita2026cooling,
  author       = {Shelvean Kapita},
  title        = {{Newton's Law of Cooling}},
  year         = {2026},
  organization = {Math Tools},
  doi          = {10.5281/zenodo.20981179},
  url          = {https://doi.org/10.5281/zenodo.20981179}
}