Numerical solutions of fractional integrodifferential equations of Bratu type by using CAS wavelets
type: Item
instance of: scholarly article
title: Numerical solutions of fractional integrodifferential equations of Bratu type by using CAS wavelets
zbMATH Open document ID: 1397.65322
DOI: 10.1155/2013/801395
author: Mingxu Yi
author: Kangwen Sun
author: Jun Huang
author: Lifeng Wang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived. A truncated CAS wavelets series together with this operational matrix is utilized to reduce the fractional integrodifferential equations to a system of algebraic equations. The solution of this system gives the approximation solution for the truncated limited \(2^k(2M+1)\). The convergence and error estimation of CAS wavelets are also given. Two examples are included to demonstrate the validity and applicability of the approach.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 6950879
Wikidata QID: Q59004543
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/801395
OpenAlex ID: W2112271914
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description: scientific article; zbMATH DE number 6950879