Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
Título del documento: Hermite spectral and pseudospectral methods for nonlinear partial differential equation in multiple dimensions
Revue: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310627
ISSN: 0101-8205
Autores: 1
2
Instituciones: 1Tongji University, Department of Applied Mathematics, Shanghai. China
2Shanghai Normal University, Department of Mathematics, Shanghai. China
Año:
Volumen: 22
Número: 2
Paginación: 167-193
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés Hermite approximation in multiple dimensions is investigated. As an example, a spectral scheme and a pseudospectral scheme for the Logistic equation are constructed, respectively. The stability and the convergence of the proposed schemes are proved. Numerical results show the high accuracy of this new approach
Disciplinas: Matemáticas
Palabras clave: Matemáticas aplicadas,
Aproximación de Hermite,
Ecuaciones diferenciales parciales
Keyword: Mathematics,
Applied mathematics,
Hermite approximation,
Partial differential equations
Texte intégral: Texto completo (Ver HTML)