## tauodenewton

Tau method for linearized problems by newton iterations.

Tau method for linearized problems by newton iterations.

f = tauodenewton(x, y, ode, conditions, varargin)

f = tauodenewton(varargin) returns the coefficients of approximate solution for a linearized problem.

x = independent tau variable (itau object). y = dependent tau variable (dtau object). ode = linearized problem (char). conditions = initial or boundary conditions (cell of char).

exact_solution = exact solution (char). 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 graphically the solution. iter = boolean varargin to show the newton iterations. resid = boolean varargin to show graphically the error. spy = boolean varargin to spy the T matrix. saves = name varargin to save the results at .mat. pieces = number of pieces if tau piecewise. tol = tolerance for newton iterations. maxit = maximal number of iterations.

f = coefficients of approximate solution.