Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions-Reference-Cited by-同舟云学术

Legendre-Chebyshev pseudo-spectral method for the diffusion equation with non-classical boundary conditions

Published:2020-10-10 Issue:2 Volume:6 Page:303-317
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Chattouh Abdeldjalil¹,Saoudi Khaled¹

Affiliation:

1. Department of Mathematics and Informatics , ICOSI Laboratory , Abbes Laghrour University , Khenchela, BP 1252 Road of Batna Khenchela 40004 , Algeria .

Abstract

Abstract The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration is reduced to a system of ODEs which can be solved by the second order Crank-Nicolson schema. Optimal error estimates for the semi-discrete scheme are derived in L 2-norm. Numerical tests are included to demonstrate the effectiveness of the proposed method.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2020-0023

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