c main program common /cstak/ ds double precision ds(1000) external handle, bc, af, postd integer ndx, k, is(1000), nu, nv, nmesh real errpar(2), u(100), v(1), mesh(100), dt, rs(1000) real ws(1000), tstop logical ls(1000) complex cs(500) equivalence (ds(1), cs(1), ws(1), rs(1), is(1), ls(1)) c to test post on c u sub t = u sub xx + f on (0,1) c where f is chosen so that the solution is c u(x,t) = exp(xt). c the port library stack and its aliases. c initialize the port library stack length. call istkin(1000, 4) nu = 1 nv = 0 errpar(1) = 0 c absolute error. errpar(2) = 1e-2 tstop = 1 dt = 1e-2 k = 4 c ndx uniform mesh points on (0,1). ndx = 4 call umb(0e0, 1e0, ndx, k, mesh, nmesh) c initial conditions for u. call setr(nmesh-k, 1e0, u) call post(u, nu, k, mesh, nmesh, v, nv, 0e0, tstop, dt, af, bc, 1 postd, errpar, handle) c check for errors and stack usage statistics. call wrapup stop end subroutine af(t, x, nx, u, ux, ut, utx, nu, v, vt, nv, a, 1 au, aux, aut, autx, av, avt, f, fu, fux, fut, futx, fv, fvt) integer nu, nx integer nv real t, x(nx), u(nx, nu), ux(nx, nu), ut(nx, nu), utx(nx, nu) real v(1), vt(1), a(nx, nu), au(nx, nu, nu), aux(nx, nu, nu), aut( 1 nx, nu, nu) real autx(nx, nu, nu), av(1), avt(1), f(nx, nu), fu(nx, nu, nu), 1 fux(nx, nu, nu) real fut(nx, nu, nu), futx(nx, nu, nu), fv(1), fvt(1) integer i real exp do 1 i = 1, nx a(i, 1) = -ux(i, 1) aux(i, 1, 1) = -1 f(i, 1) = (x(i)-t**2)*exp(x(i)*t)-ut(i, 1) fut(i, 1, 1) = -1 1 continue return end subroutine bc(t, l, r, u, ux, ut, utx, nu, v, vt, nv, b, bu, 1 bux, but, butx, bv, bvt) integer nu integer nv real t, l, r, u(nu, 2), ux(nu, 2), ut(nu, 2) real utx(nu, 2), v(1), vt(1), b(nu, 2), bu(nu, nu, 2), bux(nu, nu, 1 2) real but(nu, nu, 2), butx(nu, nu, 2), bv(1), bvt(1) real exp b(1, 1) = u(1, 1)-1. b(1, 2) = u(1, 2)-exp(t) bu(1, 1, 1) = 1 bu(1, 1, 2) = 1 return end subroutine handle(t0, u0, v0, t, u, v, nu, nxmk, nv, k, x, 1 nx, dt, tstop) integer nxmk, nu, nx integer nv, k real t0, u0(nxmk, nu), v0(1), t, u(nxmk, nu), v(1) real x(nx), dt, tstop common /time/ tt real tt external uofx integer i1mach real eu, eesff integer temp c output and checking routine. if (t0 .eq. t) return c uofx needs time. tt = t eu = eesff(k, x, nx, u, uofx) temp = i1mach(2) write (temp, 1) t, eu 1 format (14h error in u(x,, 1pe10.2, 4h ) =, 1pe10.2) return end subroutine uofx(x, nx, u, w) integer nx real x(nx), u(nx), w(nx) common /time/ t real t integer i real exp do 1 i = 1, nx u(i) = exp(x(i)*t) 1 continue return end