tausolver
Lanczos' tau method for linear differential problems.
Syntax
a = tausolver(x, y, problem, conditions, varargin)
Description
a = tausolver(varargin)returns the coefficients, on basis P, of the
(n-1)th degree polinomial approximation yn = Pa, of the
linear differential problem dy/dx=F(t,y).
Input (required)
x = independent tau variable (itau object).
y = dependent tau variable (dtau oject).
problem = ordinary differential problem (char).
conditions = problem conditions (cell of char).
Inputs (optional)
pieces = number of steps for piecewise approach.
exact_solution = exact solution (char). (integer)
step = step on the x vector to show the results.
precond = preconditioner ('no', 'ilu', 'diag').
for 'ndiad' define: 'numbd' (number of diagonals);
for 'ilu' define: 'milu', 'typeilu', 'droptol',
'thresh' and 'udiag'.
solver = linear system solver.
apsol = boolean varargin to show the graphical solution.
resid = boolean varargin to show the graphical error.
coeff = boolean varargin to show the coefficients a.
spy = boolean varargin to spy the T matrix.
saves = name varargin to save the results at .mat.
Output
a = approximate solution coefficients at basis P.
See also
tauode, taupw, tausys, tausyspw and schursolver.
a = tausolver(varargin)returns the coefficients, on basis P, of the (n-1)th degree polinomial approximation yn = Pa, of the linear differential problem dy/dx=F(t,y).
Input (required)
x = independent tau variable (itau object).
y = dependent tau variable (dtau oject).
problem = ordinary differential problem (char).
conditions = problem conditions (cell of char).
Inputs (optional)
pieces = number of steps for piecewise approach.
exact_solution = exact solution (char). (integer)
step = step on the x vector to show the results.
precond = preconditioner ('no', 'ilu', 'diag').
for 'ndiad' define: 'numbd' (number of diagonals);
for 'ilu' define: 'milu', 'typeilu', 'droptol',
'thresh' and 'udiag'.
solver = linear system solver.
apsol = boolean varargin to show the graphical solution.
resid = boolean varargin to show the graphical error.
coeff = boolean varargin to show the coefficients a.
spy = boolean varargin to spy the T matrix.
saves = name varargin to save the results at .mat.
Output
a = approximate solution coefficients at basis P.
See also
tauode, taupw, tausys, tausyspw and schursolver.
pieces = number of steps for piecewise approach. exact_solution = exact solution (char). (integer) step = step on the x vector to show the results. precond = preconditioner ('no', 'ilu', 'diag'). for 'ndiad' define: 'numbd' (number of diagonals); for 'ilu' define: 'milu', 'typeilu', 'droptol', 'thresh' and 'udiag'. solver = linear system solver. apsol = boolean varargin to show the graphical solution. resid = boolean varargin to show the graphical error. coeff = boolean varargin to show the coefficients a. spy = boolean varargin to spy the T matrix. saves = name varargin to save the results at .mat.
Output
a = approximate solution coefficients at basis P.
See also
tauode, taupw, tausys, tausyspw and schursolver.
tauode, taupw, tausys, tausyspw and schursolver.