Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions.

Autor:	Liu, Chein-Shan
Další autoři:	Li, Botong
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles collocation method singularly perturbed ODE Robin boundary function energetic Robin boundary function
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin boundary conditions. For the non-singular ODE the Robin boundary functions consist of polynomials, while the normalized exponential trial functions are used for the singularly perturbed ODE. The ERBFM is also designed to preserve the energy, which can quickly find accurate numerical solutions for the highly singularly perturbed problems by a simple collocation technique.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink