Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions. (13th November 2017)

• Record Type: Journal Article
• Authors: Wang, Peiguang; Liu, Xiang
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-11-13
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/1982568
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function F ( t, x, U ) satisfies the following condition: ∂ n - 1 F ( t, x, U ) / ∂ U n - 1 exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order n - 1 which will be different with n being even or odd. Finally, we develop two sequences which converge to the solution of the telegraph system and the convergence is of order n .