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# Tag Archives: differential equations

## Elegant solutions, Column buckling, and the hole through the middle of the Earth

The previous post presented some examples of solution of differential equations using an iterative process, including the simple harmonic motion problem of a ball falling through an evacuated hole through the middle of the Earth. The final example was concerned … Continue reading

Posted in Beam Bending, Differential Equations, Newton
Tagged column deflections, differential equations, Euler buckling
5 Comments

## Using the AlgLib ODE (Runge-Kutta) Solver with Excel

Or to be more correct, the AlgLib Cash-Karp Solver, Cash-Karp being a refinement of the Runge-Kutta method of solving ordinary differential equations. Solution of differential equations is an iterative process requiring the repeated application of the solver routine followed by evaluation of … Continue reading

Posted in AlgLib, Beam Bending, Differential Equations, Excel, Maths, Newton, UDFs, VBA
Tagged AlgLib, buckling, Cash-Karp, differential equations, Excel. VBA, hole through the middle of the earth, Runge-Kutta, SHM, UDF
8 Comments