Error analysis of Legendre-Galerkin spectral method for a parabolic equation with Dirichlet-Type non-local boundary conditions

Error analysis of Legendre-Galerkin spectral method for a parabolic equation with Dirichlet-Type non-local boundary conditions

An efficient Legendre-Galerkin spectral method and its error analysis for a one-dimensional parabolic equation with Dirichlet-type non-local boundary conditions are presented in this paper. The spatial discretization is based on Galerkin formulation and the Legendre orthogonal polynomials, while the...

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Bibliographic Details
Main Authors:	Abdeldjalil Chattouh, Khaled Saoudi
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2021-05-01
Series:	Mathematical Modelling and Analysis
Subjects:	spectral methods Galerkin method parabolic equation non-local boundary conditions error estimate
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/12865

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