- Tytuł:
- A New Computational Method Based on Laguerre Polynomials for Solving Certain Nonlinear Partial Integro Differential Equations
- Autorzy:
-
Gürbüz, B.
Sezer, M. - Powiązania:
- https://bibliotekanauki.pl/articles/1031188.pdf
- Data publikacji:
- 2017-09
- Wydawca:
- Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
-
nonlinear partial integro-differential equations
Laguerre polynomials
matrix and collocation methods
error estimations - Opis:
- In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.
- Źródło:
-
Acta Physica Polonica A; 2017, 132, 3; 561-563
0587-4246
1898-794X - Pojawia się w:
- Acta Physica Polonica A
- Dostawca treści:
- Biblioteka Nauki
Artykuł