A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation

A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts the given equation, domain, and time interval into a discrete form. The nume...

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Bibliographic Details

Published in:	Journal of Taibah University for Science
Main Authors:	Dilara Altan Koç, Yalçın Öztürk, Mustafa Gülsu
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2023-12-01
Subjects:	Partial differential equation 1D parabolic convection–diffusion equation finite difference method Von Neumann stability analysis consistency convergence
Online Access:	https://www.tandfonline.com/doi/10.1080/16583655.2023.2204808