A new sequential approach for solving the integro-differential equation via Haar wavelet bases
- Authors: Beiglo H.1, Erfanian M.1, Gachpazan M.1
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Affiliations:
- Department of Applied Mathematics
- Issue: Vol 57, No 2 (2017)
- Pages: 297-305
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178939
- DOI: https://doi.org/10.1134/S096554251702004X
- ID: 178939
Cite item
Abstract
In this work, we present a method for numerical approximation of fixed point operator, particularly for the mixed Volterra–Fredholm integro-differential equations. The main tool for error analysis is the Banach fixed point theorem. The advantage of this method is that it does not use numerical integration, we use the properties of rationalized Haar wavelets for approximate of integral. The cost of our algorithm increases accuracy and reduces the calculation, considerably. Some examples are provided toillustrate its high accuracy and numerical results are compared with other methods in the other papers.
About the authors
H. Beiglo
Department of Applied Mathematics
Email: erfaniyan@uoz.ac.ir
Iran, Islamic Republic of, Mashhad
M. Erfanian
Department of Applied Mathematics
Author for correspondence.
Email: erfaniyan@uoz.ac.ir
Iran, Islamic Republic of, Mashhad
M. Gachpazan
Department of Applied Mathematics
Email: erfaniyan@uoz.ac.ir
Iran, Islamic Republic of, Mashhad
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