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A novel numerical scheme for solving Burgers' equation

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Indexed by:期刊论文

Date of Publication:2011-01-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:Scopus、SCIE、EI

Volume:217

Issue:9

Page Number:4473-4482

ISSN No.:0096-3003

Key Words:Cubic spline quasi-interpolant; Bounded linear map; Multi-node higher order expansion; Burgers' equation

Abstract:In this paper, we propose a novel numerical scheme for solving Burgers' equation. The scheme is based on a cubic spline quasi-interpolant and multi-node higher order expansion, which make the algorithm simple and easy to implement. The numerical experiments show that the proposed method produces high accurate results. (C) 2010 Elsevier Inc. All rights reserved.

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