- Tytuł:
- Numerical study for a second order Fredholm integro-differential equation by applying Galerkin-Chebyshev-wavelets method
- Autorzy:
-
Henka, Youcef
Lemita, Samir
Aissaoui, Mohamed-Zine - Powiązania:
- https://bibliotekanauki.pl/articles/2202040.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Fredholm integro-differential equations
nonlinear equation
Galerkin method
Chebyshev wavelets
równanie całkowo-różniczkowe Fredholma
równanie nieliniowe
metoda Galerkina
falki Czebyszewa - Opis:
- In the present paper, we apply the Galerkin method using Chebyshev wavelets to approximate the exact solution for a second order Fredholm integro-differential equation with initial conditions. This numerical method gives us a nonlinear algebraic system that would be solved using the Picard successive approximations technique. Furthermore, we show the validity and the ability of the proposed method through some illustrative examples.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 4; 28--39
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł