Integrates a system of linear or nonlinear parabolic partial differential equations (PDEs) in one space variable, with scope for coupled ordinary differential equations (ODEs). The spatial discretisation is performed using finite differences, and the method of lines is employed to reduce the PDEs to a system of ODEs. The resulting system is solved using a backward differentiation formula method or a Theta method (switching between Newton's method and functional iteration). Classes : I2a1a . Parabolic partial differential equations in one spatial dimension Type : Fortran subroutine in NAG library (D03 sublibrary). Access : Proprietary. Many implementations available. Precision: Double. Usage : CALL D03PHF(NPDE, M, TS, TOUT, PDEDEF, BNDARY, U, NPTS, X, NCODE, ODEDEF, NXI, XI, NEQN, RTOL, ATOL, ITOL, NORM, LAOPT, ALGOPT, W, NW, IW, NIW, ITASK, ITRACE, IND, IFAIL) See also : D03PZF Details : Documentation Example Example-output Sites : (1) AIX (2) ITL
AIX: IBM RS6000, National Institute of Standards and Technology (NIST), Gaithersburg, MD. Available to NIST staff. Precision: Double. Access available only to NIST staff on internal Unix systems. They may access this package provided the /itl tree is cross-mounted. Link : f77 -o prog prog.f -L/itl/links/generic/lib -lnag Documentation: acroread /itl/apps/naglib-19/docs/NAGdoc/fl/pdf/D03/d03phf_fl19.pdf Example : cat /itl/apps/naglib-19/flib619da/examples/source/d03phfe.f Example-outpu: cat /itl/apps/naglib-19/flib619da/examples/results/d03phfe.r
ITL: Unix Workstation Network, National Institute of Standards and Technology (NIST), Gaithersburg, MD. Available to NIST staff. Precision: Double. Access available only to NIST staff on internal Unix systems. They may access this package provided the /itl tree is cross-mounted. Link : f77 -o prog prog.f {-lcomplib.sgimath} -L/itl/links/generic/{lib lib32 lib64}{/mips3 /mips4} -lnag Documentation: acroread /itl/apps/naglib-19/flib619da/NAGdoc/fl/pdf/D03/d03phf_fl19.pdf Example : cat /itl/apps/naglib-19/flib619da/examples/source/d03phfe.f Example-outpu: cat /itl/apps/naglib-19/flib619da/examples/results/d03phfe.r
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