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!----------------------------------------------------------------------
!----------------------------------------------------------------------
! pd1 : Time integration of a scalar nonlinear parabolic PDE
!----------------------------------------------------------------------
!----------------------------------------------------------------------
SUBROUTINE FUNC(NDIM,U,ICP,PAR,IJAC,F,DFDU,DFDP)
! ---------- ----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM, ICP(*), IJAC
DOUBLE PRECISION, INTENT(IN) :: U(NDIM), PAR(*)
DOUBLE PRECISION, INTENT(OUT) :: F(NDIM)
DOUBLE PRECISION, INTENT(INOUT) :: DFDU(NDIM,NDIM), DFDP(NDIM,*)
!
! *Set the nonlinear term
F(1)= PAR(1)*U(1)*( 1. - U(1) ) - U(1)*U(2)
F(2)= -U(2) + U(1)*U(2)
END SUBROUTINE FUNC
SUBROUTINE STPNT(NDIM,U,PAR,X)
! ---------- -----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM
DOUBLE PRECISION, INTENT(INOUT) :: U(NDIM),PAR(*)
DOUBLE PRECISION, INTENT(IN) :: X
DOUBLE PRECISION pi
pi=4*ATAN(1.d0)
! *Set the (constant) parameter
PAR(1) = 12.
! *Set the actual width of the space interval [0,PAR(11)]
PAR(11) = 1.
! *Set the initial data in the (scaled) interval [0,1]
U(1) = SIN(pi*X)
U(2) = 1.
! *Also set the space-derivative of the initial data
! *Note the scaling by 1/PAR(11) !
U(3) = pi * COS(pi*X) /PAR(11)
U(4) = 0. / PAR(11)
! *Set the diffusion constants
PAR(15) = 1.
PAR(16) = 1.
END SUBROUTINE STPNT
SUBROUTINE BCND(NDIM,PAR,ICP,NBC,U0,U1,FB,IJAC,DBC)
! ---------- ----
IMPLICIT NONE
INTEGER, INTENT(IN) :: NDIM, ICP(*), NBC, IJAC
DOUBLE PRECISION, INTENT(IN) :: PAR(*), U0(NDIM), U1(NDIM)
DOUBLE PRECISION, INTENT(OUT) :: FB(NBC)
DOUBLE PRECISION, INTENT(INOUT) :: DBC(NBC,*)
! *Define the boundary conditions.
FB(1)=U0(1)
FB(2)=U0(2)-1.
FB(3)=U1(1)
FB(4)=U1(2)-1.
END SUBROUTINE BCND
SUBROUTINE ICND
END SUBROUTINE ICND
SUBROUTINE FOPT
END SUBROUTINE FOPT
SUBROUTINE PVLS
END SUBROUTINE PVLS
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