A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base-Reference-Cited by-同舟云学术

A Novel Method for Nonlinear Boundary Value Problems Based on Multiscale Orthogonal Base

Published:2021-05-06 Issue:09 Volume:18 Page:
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Zhang Yingchao¹,Mei Liangcai¹,Lin Yingzhen¹

Affiliation:

1. Zhuhai Campus, Beijing Institute of Technology, Zhuhai, Guangdong 519085, P. R. China

Abstract

In this paper, a new algorithm is presented to solve the nonlinear second-order differential equations. The approach combines the Quasi-Newton’s method and the multiscale orthogonal bases. It is worth mentioning that the convergence of Newton’s method is verified for solving the nonlinear differential equations. The uniform convergence of the numerical solution as well as its derivatives are also proved. Numerical examples are given to demonstrate the efficiency and feasibility of the proposed method.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876221500365

Reference36 articles.

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