c----------------------------------------------------------------------- c----------------------------------------------------------------------- c c This file is part of the Test Set for IVP solvers c http://www.dm.uniba.it/~testset/ c c Problem ROBERTSON c ODE of dimension 3 c c DISCLAIMER: see c http://www.dm.uniba.it/~testset/disclaimer.php c c The most recent version of this source file can be found at c http://www.dm.uniba.it/~testset/src/problems/rober.f c c This is revision c $Id: rober.F,v 1.2 2006/10/02 10:29:14 testset Exp $ c c----------------------------------------------------------------------- integer function pidate() pidate = 20060828 return end c----------------------------------------------------------------------- subroutine prob(fullnm,problm,type, + neqn,ndisc,t, + numjac,mljac,mujac, + nummas,mlmas,mumas, + ind) character*(*) fullnm, problm, type integer neqn,ndisc,mljac,mujac,mlmas,mumas,ind(*) double precision t(0:*) logical numjac, nummas fullnm = 'Problem ROBERTSON' problm = 'rober' type = 'ODE' neqn = 3 ndisc = 0 t(0) = 0d0 t(1) = 1d11 numjac = .false. mljac = neqn mujac = neqn return end c----------------------------------------------------------------------- subroutine init(neqn,t,y,yprime,consis) integer neqn double precision t,y(neqn),yprime(neqn) logical consis y(1) = 1d0 y(2) = 0d0 y(3) = 0d0 return end c----------------------------------------------------------------------- subroutine settolerances(neqn,rtol,atol,tolvec) integer neqn logical tolvec double precision rtol(neqn), atol(neqn) tolvec = .false. return end c----------------------------------------------------------------------- subroutine setoutput(neqn,solref,printsolout, + nindsol,indsol) logical solref, printsolout integer neqn, nindsol integer indsol(neqn) c the reference solution is available solref = .true. c output file is required printsolout = .true. c default values if printsolout is .true. nindsol = neqn c only nindsol component of indsol are referenced do i=1,nindsol indsol(i) = i end do return end c----------------------------------------------------------------------- subroutine feval(neqn,t,y,yprime,f,ierr,rpar,ipar) integer neqn,ierr,ipar(*) double precision t,y(neqn),yprime(neqn),f(neqn),rpar(*) f(1) = -0.04d0*y(1)+1d4*y(2)*y(3) f(2) = 0.04d0*y(1)-1d4*y(2)*y(3)-3d7*y(2)**2 f(3) =3d7*y(2)**2 return end c----------------------------------------------------------------------- subroutine jeval(ldim,neqn,t,y,yprime,dfdy,ierr,rpar,ipar) integer ldim,neqn,ierr,ipar(*) double precision t,y(neqn),yprime(neqn),dfdy(ldim,neqn),rpar(*) integer i,j do 20 j=1,neqn do 10 i=1,neqn dfdy(i,j)=0d0 10 continue 20 continue dfdy(1,1) = -0.04d0 dfdy(1,2) = 1d4*y(3) dfdy(1,3) = 1d4*y(2) dfdy(2,1) = 0.04d0 dfdy(2,2) = -1d4*y(3)-6d7*y(2) dfdy(2,3) = -1d4*y(2) dfdy(3,2) = 6d7*y(2) return end c----------------------------------------------------------------------- subroutine meval(ldim,neqn,t,y,yprime,dfddy,ierr,rpar,ipar) integer ldim,neqn,ierr,ipar(*) double precision t,y(neqn),yprime(neqn),dfddy(ldim,neqn),rpar(*) c c dummy subroutine c return end c----------------------------------------------------------------------- subroutine solut(neqn,t,y) integer neqn double precision t,y(neqn) c c computed using double precision RADAU on an c Alphaserver DS20E, with a 667 MHz EV67 processor. c c uround = 1.01d-19 c rtol = atol = h0 = 1.1d-18 c c y(1) = 0.2083340149701255D-07 y(2) = 0.8333360770334713D-13 y(3) = 0.9999999791665050D+00 return end