Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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 (doi: 10.20944/preprints202010.0322.v1). Zhang, Y.; Mei, L.; Lin, Y. Multiscale Method for Solving High-order BVPs. Preprints 2020, 2020100322 (doi: 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 de fine 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.

Subject Areas

Multiscale orthonormal basis; High-order BVPs; Convergence order;

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