Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506979 | Applied Mathematics and Computation | 2005 | 40 Pages |
Abstract
In this paper we consider the initial modelling step dealing with a limit problem of the general PDE system, making the bidimensional parameter dependent boundary ODE system. Since the equation system is singular at initial point t=0 and coincide with Gear's definition of stiff ODE system, we proposed a combined approach for solving the boundary problem and estimation of parameters, complying the given boundary conditions. To do this we use some newly developed derivative free self-convergent methods, which proved themselves to be more numerically stable than a classical Steffensen's method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Eugene V. Dulov, Alexander V. Sinitsyn,