A Computational Algorithm for the Numerical Solution of Nonlinear Fractional Integral Equations
[ 1 ] Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ 2 ] Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | [ SzD ] doktorant ze Szkoły Doktorskiej | [ P ] pracownik
2022
artykuł naukowy
angielski
- NFIEs
- Uniqueness and Existence
- HWCT
- CPs
EN In this paper, we develop a numerical method for the solution of nonlinear fractional integral equations (NFIEs) based on Haar wavelet collocation technique (HWCT). Under certain conditions, we also prove the uniqueness and existence as well as Hyers–Ulam (HU) stability of the solution. With the help of the mentioned technique, the considered problem is transformed to a system of algebraic equations which is then solved for the required results by using Broyden algorithm. To check the validation and convergence of the proposed technique, some examples are given. For different number of collocation points (CPs), maximum absolute and mean square root errors are computed. The results show that for solving these equations, the HWCT is effective. The convergence rate is also measured for different CPs, which is nearly equal to 2.
28.12.2021
2240030-1 - 2240030-8
Article Number: 2240030
CC BY-NC (uznanie autorstwa - użycie niekomercyjne)
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