It is recognized as a general procedure for mechanical approximation to all physical problems that can be modeled by differential equation description [6].
In the present work we extend the FEMOS computational platform in the study of the Drift Diffusion model (DD) [5, 6] and focus on the issue of endowing the simulation tool of a consistent, stable and accurate procedure for the approximation of electron and hole current densities in the device.
Mickens, A Generalised iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillations", Journal of Sound and Vibration 287 (2005) 1045 1051).
On the other hand, Li et al. [7] introduced two steps of iterative procedures for the approximation of common fixed point of a nonexpansive semigroup on a nonempty closed convex subset in a Hilbert space.
In 2009, motivated and inspired by Moudafi [11], Shahzad and Udomene [12] introduced and studied the iterative procedures for the approximation of common fixed points of asymptotically nonexpansive mappings in a real Banach space with uniformly Gâteaux differentiable norm and uniform normal structure.
In 2009, motivated and inspired by Marino and Xu [20], Li et al. [21] introduced the following general iterative procedures for the approximation of common fixed points of a nonexpansive semigroup { T ( s ) : s ≥ 0 } on a nonempty, closed and convex subset K in a Hilbert space: y n = α n γ f ( y n ) + ( I − α n A ) 1 t n ∫ 0 t n T ( s ) y n d s, n ≥ 1, (1.11).
Syamal K. Sen and Ravi P. Agarwal suggested four Matlab based procedures, viz, (i) Exhaustive search, (ii) Principal convergents of continued fraction based procedure, (iii) Best rounding procedure for decimal (rational) approximation, and (iv) Continued fraction based algorithm with intermediate convergents.
Based on the benefits of the Newton method, a procedure for the accurate approximation of the inverse of the Jacobian matrix and a fully implicit numerical scheme is developed.
In this paper we have utilized the Blaschke-Potapov factorization for contractive matrix-valued functions to devise a procedure for obtaining an approximation for the transfer function of physically realizable passive linear systems consisting of a network of passive components and time delays.
