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 th...

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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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