Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0377-0427(03)00541-7
Title: A note on the numerical solution of high-order differential equations
Authors: Wang, Y. 
Zhao, Y.B. 
Wei, G.W. 
Keywords: High-order differential equation
Local adaptive differential quadrature method
Multi-boundary conditions
Issue Date: 2003
Citation: Wang, Y., Zhao, Y.B., Wei, G.W. (2003). A note on the numerical solution of high-order differential equations. Journal of Computational and Applied Mathematics 159 (2) : 387-398. ScholarBank@NUS Repository. https://doi.org/10.1016/S0377-0427(03)00541-7
Abstract: Numerical solution of high-order differential equations with multi-boundary conditions is discussed in this paper. Motivated by the discrete singular convolution algorithm, the use of fictitious points as additional unknowns is proposed in the implementation of locally supported Lagrange polynomials. The proposed method can be regarded as a local adaptive differential quadrature method. Two examples, an eigenvalue problem and a boundary-value problem, which are governed by a sixth-order differential equation and an eighth-order differential equation, respectively, are employed to illustrate the proposed method. © 2003 Elsevier B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/43147
ISSN: 03770427
DOI: 10.1016/S0377-0427(03)00541-7
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