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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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INTRO(3)						     Linux Programmer's Manual							  INTRO(3)

NAME
intro - Introduction to library functions DESCRIPTION
This chapter describes all library functions excluding the library functions described in chapter 2, which implement system calls. There are various function groups which can be identified by a letter which is appended to the chapter number: (3C) These functions, the functions from chapter 2 and from chapter 3S are contained in the C standard library libc, which will be used by cc(1) by default. (3S) These functions are parts of the stdio(3) library. They are contained in the standard C library libc. (3M) These functions are contained in the arithmetic library libm. They are used by the f77(1) FORTRAN compiler by default, but not by the cc(1) C compiler, which needs the option -lm. (3F) These functions are part of the FORTRAN library libF77. There are no special compiler flags needed to use these functions. (3X) Various special libraries. The manual pages documenting their functions specify the library names. AUTHORS
Look at the header of the manual page for the author(s) and copyright conditions. Note that these can be different from page to page! Linux 1995-12-13 INTRO(3)
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