Submitted:
10 October 2020
Posted:
15 October 2020
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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.
Keywords:
Multiscale orthonormal basis
; High-order BVPs
; Convergence order
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