#odesolver
𝐅𝐫𝐞𝐞 𝐅𝐚𝐥𝐥 𝐰𝐢𝐭𝐡 𝐀𝐢𝐫 𝐑𝐞𝐬𝐢𝐬𝐭𝐚𝐧𝐜𝐞

🪂 Dropping from 1000m with air drag. This second-order ordinary differential equation shows how terminal velocity limits the fall.

y’’ = -9.8 + 0.1(y’)²

Solved with our free ODE solver.

#odesolver #DifferentialEquations #physics
October 31, 2026 at 1:12 AM
𝐇𝐲𝐩𝐞𝐫𝐛𝐨𝐥𝐢𝐜 𝐒𝐢𝐧𝐞 𝐆𝐫𝐨𝐰𝐭𝐡

📈 Explosive growth driven by a hyperbolic sine. This ordinary differential equation accelerates faster than exponential.

dy/dx = sinh(y/10)

Plotted with our free ODE solver.

#odesolver #DifferentialEquations #mathematics
October 31, 2026 at 9:57 PM
𝐑𝐂 𝐂𝐢𝐫𝐜𝐮𝐢𝐭 𝐂𝐡𝐚𝐫𝐠𝐢𝐧𝐠

🔋 A capacitor charging through a resistor. This ordinary differential equation shows voltage rising from 0 toward 5V. The same math behind every phone charger.

dy/dx = (5 - y)/2

Plotted with our free ODE solver.

#odesolver #DifferentialEquations #electronics
October 30, 2026 at 8:47 PM
Oh I just didn't want the odesolver to take ages across the segments.

I just meant to say "I am adding some structure here but still letting the data drive a model"
May 27, 2026 at 3:56 PM
Added an index argument to all functions that evaluate the reaction rate in chemistryModel, reactions and ODESolver in #OpenFOAM-dev

github.com/OpenFOAM/OpenF…
chemistryModel, reactions, ODESolver: Added "li" argument to all func… · OpenFOAM/OpenFOAM-dev@2d0f459
…tions which evaluate the reaction rate In chemistryModel "li" is set to the current cell index but for other reacting systems it should be set to the current index of the elemen...
github.com
January 11, 2025 at 12:36 PM