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Article


Title

Existence and Solution of Third Order Integro-Differential Equations via Haar Wavelet Method

Authors

[ 1 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[2.6] Civil engineering and transport

Year of publication

2023

Published in

Fractals

Journal year: 2023 | Journal volume: in press

Article type

scientific article

Publication language

english

Keywords
EN
  • Qualitative results
  • Fixed point approach
  • Haar wavelet
  • Numerical results
Abstract

EN This manuscript is related to some qualitative results about the existence and uniquenessof a solution to a third-order problem by using a fixed point approach. Haar technique isapplied for numerical solution of a third-order linear integro-differential equation (IDE) withinitial conditions. In IDE, the third-order derivative is computed by Haar functions, and theintegration is used to get the expression of second- and first-order derivatives, as well as anapproximate solution. Some examples from the literature are used to verify the validity ofthe proposed method. Error analysis is performed. Also, comparison between the exact and numerical solutions at different collocation points is derived. The convergence rate is recordedtaking different numbers of collocation points, which is approximately equal to 2.

DOI

10.1142/S0218348X23400376

URL

https://www.worldscientific.com/doi/10.1142/S0218348X23400376

License type

CC BY (attribution alone)

Open Access Mode

czasopismo hybrydowe

Open Access Text Version

final author's version

Date of Open Access to the publication

in press

Ministry points / journal

100.0

Impact Factor

4.555 [List 2021]

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