#6479: [with patch, needs work] desolve for 2nd order ODE with initial condition
gives wrong answer
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   Reporter:  gmhossain  |       Owner:  burcin    
       Type:  defect     |      Status:  needs_work
   Priority:  major      |   Milestone:  sage-4.2.1
  Component:  calculus   |    Keywords:            
Work_issues:             |      Author:            
   Reviewer:             |      Merged:            
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Comment(by robert.marik):

 Replying to [comment:10 wdj]:
 > The improvements are *fantastic*!
 >
 > However, some of the docstrings do not follow proper format.
 > For example, in your desolve_rk4 function, you do not indent
 > the Sage code in the EXAMPLES section correctly. Also, if a
 > function can produce different types of output (eg, a plot or
 > a list of points, depending on the optional parameters), both
 > should be illustrated in the examples. I don't know if this
 > improper formatting screws up the sage -test script or not.
 > There is also some improper indentation in other sections,
 > such as OUTPUT, for functions such as desolve_rk4, for example.
 >
 > I hope you can please fix these.

 Thanks. I will try to fix it. Sorry, I am newbie in Python.

 >
 > A request: in your new functions desolve_rk4 and desolve_system_rk4
 > there is an option called endpoint, with default value 10. I would
 > prefer an option called endpoints with a default value of [0,10]
 > (or something), so that a range can be plotted other than from
 > ics[0] to endpoint. If it is too much hassle, fine (you can just add
 > plots together to get that anyway...).

 what about this:

 endpoints=a   .... integrate from ics[0] to a

 endpoints=[a]   .... integrate from ics[0] to a

 endpoints=[a,b]   .... integrate from ics[0] to b, then integrate back
 from ics[0] to a, reverse the second list and join both lists together
 /without repeating the point (ics[0],ics[1])/. If ics[0] is bigger than b
 or smaller than a, raise error.

 I think that this is possible and I can try within a week.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6479#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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