Title : ( A Spectral Quasilinearization Parametric Method for Nonlinear Two-Point Boundary Value Problems )
Authors: Asghar Ghorbani , Mortaza Gachpazan ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, we develop an efficient explicit method based on the spectral parametric iteration method and quasilinearization scheme, which can be used for the efficient numerical solution of nonlinear stiff/nonstiff two-point boundary value problems. The method derived here has the advantage that it does not require the solution of nonlinear systems of equations. We derive the method, which requires one evaluation of the Jacobian and one LU decomposition per step. Some numerical experiments on nonlinear stiff/nonstiff problems show the efficiency and accuracy of the method. Moreover, the method provides us a simple way to control and modify the convergence rate of the solution
Keywords
, Spectral parametric iteration method, Quasilinearization method, Two-point boundary value problems , Nonlinear boundary conditions, Van Der Pol equation
@article{paperid:1066865,
author = {Ghorbani, Asghar and Gachpazan, Mortaza},
title = {A Spectral Quasilinearization Parametric Method for Nonlinear Two-Point Boundary Value Problems},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
year = {2017},
month = {February},
issn = {0126-6705},
pages = {1--13},
numpages = {12},
keywords = {Spectral parametric iteration method; Quasilinearization method; Two-point boundary value problems ; Nonlinear boundary conditions; Van Der Pol equation},
}
%0 Journal Article
%T A Spectral Quasilinearization Parametric Method for Nonlinear Two-Point Boundary Value Problems
%A Ghorbani, Asghar
%A Gachpazan, Mortaza
%J Bulletin of the Malaysian Mathematical Sciences Society
%@ 0126-6705
%D 2017
