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Jun
3
comment How to solve the differential equation with Duhamel's integral?
Oh, "Adding the dummy algebraic equation y[t] == y0[t] to the system helps with the accuracy." I missed this sentence, seems that I'm a little tired today 囧
Jun
3
awarded  Enlightened
Jun
3
awarded  Nice Answer
Jun
3
revised How to solve the differential equation with Duhamel's integral?
added 52 characters in body
Jun
3
revised How to solve the differential equation with Duhamel's integral?
added 7 characters in body
Jun
3
comment How to solve the differential equation with Duhamel's integral?
As to the accuracy part: it's possible to improve the accuracy of FunctionInterpolation, see the edit of my answer.
Jun
3
comment How to solve the differential equation with Duhamel's integral?
Very interesting. BTW the dae = y[t] == y0[t]; line isn't necessary.
Jun
3
revised How to solve the differential equation with Duhamel's integral?
A way for improving the accuracy of FunctionInterpolation is added.
Jun
1
revised How to solve the differential equation with Duhamel's integral?
added 94 characters in body
Jun
1
revised How to solve the differential equation with Duhamel's integral?
added 95 characters in body
Jun
1
answered How to solve the differential equation with Duhamel's integral?
Jun
1
revised How to solve the differential equation with Duhamel's integral?
deleted 86 characters in body; edited tags
May
29
reviewed Approve Insert points in a ContourPlot
May
26
awarded  Revival
May
26
reviewed Approve Integral not being evaluated
May
26
reviewed Approve Mismatch between numerical and analytic evaluation of an integral
May
26
revised Solve wave equation using DSolve?
added 15 characters in body
May
26
revised Solve wave equation using DSolve?
added 2343 characters in body
May
26
comment Solve wave equation using DSolve?
@kattern As to the The actual situation: is a solution involving unevaluated InverseLaplaceTransform acceptable?
May
26
comment Solve PDE with DiracDelta function
In v9.0.1, DSolve returns unevaluated after a warning. For the FourierTransform part: unlike LaplaceTransform, currently FourierTransform isn't handy. To circumvent this, here's a shell for enhancing. But what's really troublesome is: the ODE isn't defined in a infinite domain, so Fourier transform can't be used directly, theoretically one can extend the domain in cycles with e.g. Mod, but personally I never succeeded in the subsequent step: perhaps a artificial periodic function is too hard for FourierTransform, I'm not sure.