Article
Version 1
Preserved in Portico This version is not peer-reviewed
Multiscale Method for Solving High-order BVPs
Version 1
: Received: 10 October 2020 / Approved: 15 October 2020 / Online: 15 October 2020 (11:55:31 CEST)
How to cite: Zhang, Y.; Mei, L.; Lin, Y. Multiscale Method for Solving High-order BVPs. Preprints 2020, 2020100322. https://doi.org/10.20944/preprints202010.0322.v1 Zhang, Y.; Mei, L.; Lin, Y. Multiscale Method for Solving High-order BVPs. Preprints 2020, 2020100322. https://doi.org/10.20944/preprints202010.0322.v1
Abstract
This paper presents a numerical algorithm for solving high-order BVPs. We introduce the construction method of multiscale orthonormal basis in Wm[0; 1] by multiscale orthonormal basis in W1[0; 1]. We define approximate solution, and obtain the approximate solution of high-order BVPs by using the approximate theory. Moreover, the convergence and stability of the algorithm are improved. At last, several numerical experiments show the feasibility of the proposed method.
Keywords
Multiscale orthonormal basis; High-order BVPs; Convergence order;
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment