Computer Programs

NESC0514 FORSIM

NESC0514 FORSIM

FORSIM, Solution of Ordinary or Partial Differential Equation with Initial Conditions

NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROBLEM OR FUNCTION, METHOD OF SOLUTION, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, UNUSUAL FEATURES OF THE PROGRAM, RELATED AND AUXILIARY PROGRAMS, STATUS, REFERENCES, MACHINE REQUIREMENTS, LANGUAGE, OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED, OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS, NAME AND ESTABLISHMENT OF AUTHOR, MATERIAL, CATEGORIES

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1. NAME OR DESIGNATION OF PROGRAM: FORSIM

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2. COMPUTERS

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Program name	Package id	Status	Status date
FORSIM	NESC0514/02	Tested	01-FEB-1978

Machines used:

Package ID	Orig. computer	Test computer
NESC0514/02	IBM 370 series	IBM 370 series

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3. DESCRIPTION OF PROBLEM OR FUNCTION

FORSIM is a  FORTRAN oriented
simulation  program  which  automates   the  continuous  transient
solution  of  systems  of  ordinary  and/or  partial  differential
equations.  The user writes his equations in a FORTRAN subroutine,
following prescribed rules, and loads  this routine along with the
executive routines.  The  executive routines then read  in initial
data supplied by the user and proceed with the integration.

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4. METHOD OF SOLUTION

Partial differential equations  are converted
to   coupled   ordinary   differential   equations   by   suitable
discretization formulae.   Integration is done by  variable order,
variable step-size error controlled algorithms.

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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM: Maximum of -, 1000 ordinary differential equations

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6. TYPICAL RUNNING TIME

The time required depends on the equation
system being solved.

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7. UNUSUAL FEATURES OF THE PROGRAM

Partial  differential  equations
and  boundary  conditions  are   discretized  automatically.   The
statement  of  a   partial  differential  equation  in   the  user
subroutine is analogous to the mathematical function.
   Edition B  of FORSIM  contains options  for the  integration of
stiff  systems of  ordinary differential  equations and  automated
procedures  for  solving  most  classes  of  partial  differential
equations as well.

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8. RELATED AND AUXILIARY PROGRAMS:

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9. STATUS

Package ID	Status date	Status
NESC0514/02	01-FEB-1978	Tested at NEADB

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10. REFERENCES

M. B. Carver, FORSIM: A FORTRAN Package for the
Automated Solution of Coupled Partial and/or Ordinary Differential
Equation Systems, AECL-4844, November 1974.

NESC0514/02, included references:

   - M. B. Carver, D. G. Stewart, J. M. Blair, and W. N. Selander;
     FORSIM: VI - A FORTRAN-Oriented Simulation Package for the
     Automated Solution of Partial and Ordinary Differential
     Equation Systems. AECL-5821 (Revised May 1979).

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11. MACHINE REQUIREMENTS

160,000 (octal) memory and 6 disk files,
including input and output

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12. PROGRAMMING LANGUAGE(S) USED

Package ID	Computer language
NESC0514/02	FORTRAN-IV

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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED: SCOPE 3.4.

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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

   The
user  writes  in FORTRAN  and  has  full  command of  all  FORTRAN
facilities.  Any number of subroutines  may be written to describe
the equations.
   The CalComp plot option (p. 25 of reference) may not be invoked
because  it requires  local  AECL software.   A  dummy routine  is
included  with the  source to  satisfy the  loader.  However,  the
printer plot option does operate.

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15. NAME AND ESTABLISHMENT OF AUTHOR

                 M. B. Carver
                 Mathematics and Computation Branch
                 Chalk River Nuclear Laboratories
                 Atomic Energy of Canada Limited
                 Chalk River, Ontario, Canada

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16. MATERIAL AVAILABLE

NESC0514/02

File name	File description	Records
NESC0514_02.001	DUMMY RECORD	1
NESC0514_02.002	SOURCE PROGRAM (F4,EBCDIC)	4421
NESC0514_02.003	OVERLAY CARDS	12
NESC0514_02.004	SAMPLE PROBLEM INPUT DATA	9
NESC0514_02.005	SAMPLE PROBLEM PRINTED OUTPUT	330
NESC0514_02.006	SUBROUTINES NOT USED IN SAMPLE PROB.(F4)	292

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17. CATEGORIES

P. General Mathematical and Computing System Routines

Keywords: integrals, ordinary differential equations, partial differential equations.