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Full Discussion: can this b numerically SOLVED in FORTRAN?
Top Forums Programming can this b numerically SOLVED in FORTRAN? Post 302524211 by Loic Domaigne on Sunday 22nd of May 2011 10:54:38 AM
Old 05-22-2011
You need to discretize your equation in time (i.e. using small dt). You just then compute the y(t) for t=0 until the first t where y(t)<=0 (i.e. the projectile has reached the original elevation).
Code:
// pseudo-code 
ymax  = 0
tymax = 0
t        = 0
yt      = 0
while (yt >=0 ) do
    // compute y(t) at t+dt using RK-4 for instance
    if yt > ymax then 
        ymax  = yt
        tymax = t 
    endif
    t+=dt
end while

Then question a) is given by ymax, b) by tymax and c) by t at the end of the while loop.

Sorry to not help you straight away with the Fortran program, last time I did Fortran stuff was about 15 years ago!

HTH, Loïc
 

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LEARN ABOUT DEBIAN

plimagefr

PLIMAGEFR(3plplot)						    PLplot API							PLIMAGEFR(3plplot)

NAME

       plimagefr - Plot a 2D matrix using color map1

SYNOPSIS

       plimagefr(idata, nx, ny, xmin, xmax, ymin, ymax, zmin, zmax, valuemin, valuemax, pltr, pltr_data)

DESCRIPTION

       Plot a 2D matrix using color map1.

       Redacted form:  General: plimagefr(idata, xmin, xmax, ymin, ymax, zmin, zmax, valuemin, valuemax, pltr, pltr_data)

       This function is used in example 20.

ARGUMENTS

       idata (PLFLT**, input)
	      A 2D array of values (intensities) to plot.  Should have dimensions idata[nx][ny].

       nx, ny (PLINT, input)
	      Dimensions of idata

       xmin, xmax, ymin, ymax (PLFLT, input)
	      Stretch  image  data  to	these  Plot coordinates.  idata[0][0] corresponds to (xmin, ymin) and idata[nx - 1][ny - 1] corresponds to
	      (xmax, ymax).

       zmin, zmax (PLFLT, input)
	      Only data between zmin and zmax (inclusive) will be plotted.

       valuemin, valuemax (PLFLT, input)
	      The minimum and maximum data values to use for value to color mappings.  A datum equal to or less than valuemin will be plotted with
	      color  0.0,  while a datum equal to or greater than valuemax will be plotted with color 1.0.  Data between valuemin and valuemax map
	      linearly to colors between 0.0 and 1.0.

       pltr (void (*) (PLFLT, PLFLT, PLFLT *, PLFLT *, PLPointer) , input)
	      Pointer to function that defines a transformation between the data in the array idata and world coordinates.  An input coordinate of
	      (0,  0) corresponds to the "top-left" corner of idata while (nx, ny) corresponds to the "bottom-right" corner of idata.  Some trans-
	      formation functions are provided in the PLplot library: pltr0(3plplot) for identity mapping, and pltr1(3plplot)  and  pltr2(3plplot)
	      for  arbitrary mappings respectively defined by one- and two-dimensional arrays.	In addition, user-supplied routines for the trans-
	      formation can be used as well.  Examples of all of these approaches are given in the PLplot documentation.  The transformation func-
	      tion should have the form given by any of pltr0(3plplot), pltr1(3plplot), or pltr2(3plplot).

       pltr_data (PLPointer, input)
	      Extra  parameter	to help pass information to pltr0(3plplot), pltr1(3plplot), pltr2(3plplot), or whatever routine is externally sup-
	      plied.

AUTHORS

       Geoffrey Furnish and Maurice LeBrun wrote and maintain PLplot.  This man page was automatically generated from the DocBook  source  of  the
       PLplot documentation, maintained by Alan W. Irwin and Rafael Laboissiere.

SEE ALSO

       PLplot documentation at http://plplot.sourceforge.net/resources.

								   August, 2012 						PLIMAGEFR(3plplot)
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