deTaylor
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05-22-2015, 01:24 PM
(This post was last modified: 05-22-2015 01:39 PM by fhub.)
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deTaylor
Here's a small CAS function deTaylor for the HP-Prime (similiar to deSolve) which I've originally written for Xcas.
It approximately solves 1st- and 2nd-order differential equations (with initial conditions) as n-th degree Taylor polynomial. 1st order y'=f(x,y) with y(x0)=y0: deTaylor(f,[x,y],[x0,y0],n) 2nd order y''=f(x,y,y') with y(x0)=y0 and y'(x0)=y0': deTaylor(f,[x,y,z],[x0,y0,z0],n) (I'm using z instead of y', because y' can't be used as input) Here's the function definition: (you can directly copy&paste it into the Prime-emulator commandline in CAS-mode) Code:
Example 1: y'=x*y^2+1 with y(0)=1 (6th-degree approximation): deTaylor(x*y^2+1,[x,y],[0,1],6) Example 2: y''=x*y*y' with y(1)=2 and y'(1)=3 (5th degree): deTaylor(x*y*z,[x,y,z],[1,2,3],5) Maybe it's useful for someone, Franz |
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Messages In This Thread |
deTaylor - fhub - 05-22-2015 01:24 PM
RE: deTaylor - salvomic - 05-22-2015, 06:10 PM
RE: deTaylor - fhub - 05-22-2015, 08:27 PM
RE: deTaylor - salvomic - 05-22-2015, 08:31 PM
RE: deTaylor - fhub - 05-22-2015, 09:44 PM
RE: deTaylor - salvomic - 05-22-2015, 10:13 PM
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