(71B) EulerTaylor method for the HP71B

12142019, 08:44 AM
Post: #10




RE: (71B) EulerTaylor method for the HP71B
(12132019 02:12 PM)Albert Chan Wrote: Δy' ≈ y'(x+h, y + h y'(x,y))  y'(x,y) Thanks. You're lucky man, you have more spare time than me. It is an endyearrush in power industry and today (Saturday) is a work day in Hungary (in this December two Saturdays are workdays  these are "relocated" to increase the Christmas holiday period). So, you're lucky and thanks for the substitutions and the result  is looks like a PredictorCorrector method generally, so I have a little comment  idea  on it (and yes, I have no time until 21 Dec to check it): When you calculated the slope in the line 70 and you use the Euler estimation of Y, you get an estimated value of the slope in X+dX. But when Y new value is calculated, you have a possibility to improve this slope if you use the second order estimated Y value in X+dX. Maybe repeating the line 70 with the most precise Y value gives a better estimation?! Csaba 

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