Convergence analysis and parity conservation of a new form of a quadratic explicit spline with applications to integral equations

In this study, a new form of a quadratic spline is obtained, where the coefficients are determined explicitly by variational methods. Convergence is studied and parity conservation is demonstrated. Finally, the method is applied to solve integral equations.

Detalhes bibliográficos
Autores: Ferrari, Alberto José, Lara, Luis Pedro, Santillan Marcus, Eduardo Adrian
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/174577
Acesso em linha:http://hdl.handle.net/11336/174577
Access Level:acceso abierto
Palavra-chave:QUADRATIC SPLINE
FREDHOLM-VOLTERRA EQUATIONS
FRACTIONAL DIFFERENTIAL EQUATIONS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:In this study, a new form of a quadratic spline is obtained, where the coefficients are determined explicitly by variational methods. Convergence is studied and parity conservation is demonstrated. Finally, the method is applied to solve integral equations.