A Spectral Quasilinearization Parametric Method for Nonlinear Two-Point Boundary Value Problems

作     者：Ghorbani, Asghar Gachpazan, Morteza 

作者机构：Ferdowsi Univ Mashhad Fac Math Sci Dept Appl Math Mashhad Iran 

出 版 物：《BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY》 (Bull. Malays. Math. Sci. Soc.)

年 卷 期：2019年第42卷第1期

页      面：1-13页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Ferdowsi University of Mashhad [2/42583] 

主　　题：Spectral parametric iteration method Quasilinearization method Two-point boundary value problems Nonlinear boundary conditions Van Der Pol equation 

摘      要：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.