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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
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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
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