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Programs that are available in either FORTRAN and/or MATLAB. The red color indicates they are available in both languages.
Programs in FORTRAN (download as nonlinear_prog.txt.)
Solve linear equations
invert.f solves linear equations for dense, block tridiagonal, and tridiagonal matrices
invr.f computes the inverse of a dense matrix
decomp.f LU decomposition of a dense matrix
solve.f solves for the right-hand side after an LU decomposition of a dense matrix
ludecom.f LU decomposition of a block tridiagonal matrix
fas.f solves for the right-hand side after an LU decomposition of a block tridiagonalmatrix
invtri.f LU decomposition of a tridiagonal matrix
sweep.f solves for the right-hand side after an LU decomposition of a tridiagonal matrix
Collocation matrices
coll.f collocation matrices for problems with symmetry, planar, cylindrical, and spherical
planar.f collocation matices for problems with no special symmetry
Applications reaction/diffusion problems
ocrxn.f solved using orthogonal collocation
ocferxn.f solved using orthogonal collocation on finite elements
fdrxn.f solved using the finite difference method
ivrxn.f solved using an initial value method
pde.f unsteady diffusion problem
ODE Solvers (download individually)
lsode.txt Gear methods
rkf45.txt 4th-5th order Runge-Kutta methods
Programs in MATLAB
Solve linear equations (Can download as linear_group.txt.)
OCFElud.m LU decomposition of a block tridiagonal matrix
OCFEfas.m solves for the right-hand side after an LU decomposition of a block tridiagonalmatrix
lu_tri.m LU decomposition of a tridiagonal matrix
fas_tri.m solves for the right-hand side after an LU decomposition of a tridiagonal matrix
Collocation matrices (Can download as collocation_group.txt.)
coll.m collocation matrices for problems with symmetry, planar, cylindrical, and spherical
planar.m collocation matices for problems with no special symmetry
coll_interp.m interpolates between collocation points to give complete symmetric polynomial
planar_interp.m interpolates between collocation points to give complete polynomial
Applications reaction/diffusion problems (download individually, text files include all subroutines needed to run using MATLAB)
rxnOC.txt solved using orthogonal collocation
rxnOCFE.txt solved using orthogonal collocation on finite elements
rxnFD.txt solved using the finite difference method
OC_unsteady.txt unsteady diffusion problem
Applications moving front problem
Mac_Langmuir.txt MacCormack method with flux correction for transient adsorption (equilibrium) with a Langmuir isotherm