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

被引：2
|
作者：
Koc, Dilara Altan [1 ]
Ozturk, Yalcin [2 ]
Gulsu, Mustafa [1 ]
机构：
[1] Mugla Sitki Kocman Univ, Dept Math, Mugla, Turkiye
[2] Mugla Sitki Kocman Univ, Ula Vocat High Sch, Mugla, Turkiye
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2023年 / 17卷 / 01期
关键词：
Partial differential equation; 1D parabolic convection-diffusion equation; finite difference method; Von Neumann stability analysis; consistency; convergence; SCHEME;
D O I：
10.1080/16583655.2023.2204808
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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 numerical values of the solution are approximated by solving algebraic equations containing finite differences and values at these discrete points. The consistency, stability and convergence are investigated. On the other hand, some numerical examples illustrate the validity and applicability of the method. Finally, the numerical results are compared with the finite difference scheme's three points.
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页数：7
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