Numerical solutions for the eighth-order initial and boundary value problems using the second kind Chebyshev wavelets
type: Item
instance of: scholarly article
title: Numerical solutions for the eighth-order initial and boundary value problems using the second kind Chebyshev wavelets
zbMATH Open document ID: 1329.65175
DOI: 10.1155/2015/964623
author: Xiaoyong Xu
author: Fengying Zhou
published in: Advances in Mathematical Physics
publication date: 2015-10-06T00:00:00Z
review text: Summary: A collocation method based on the second kind Chebyshev wavelets is proposed for the numerical solution of eighth-order two-point boundary value problems (BVPs) and initial value problems (IVPs) in ordinary differential equations. The second kind Chebyshev wavelets operational matrix of integration is derived and used to transform the problem to a system of algebraic equations. The uniform convergence analysis and error estimation for the proposed method are given. Accuracy and efficiency of the suggested method are established through comparing with the existing quintic B-spline collocation method, homotopy asymptotic method, and modified decomposition method. Numerical results obtained by the present method are in good agreement with the exact solutions available in the literatures.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6489880
Wikidata QID: Q59102597
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/964623
OpenAlex ID: W1495805878
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description: scientific article; zbMATH DE number 6489880