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97263

Fully Implicit Scheme for Solving Burgers' Equation based on Finite Difference Method

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Last updated: 04 Jan 2025

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Abstract

In this paper, a new scheme based on finite difference method is presented for solving nonlinear one-dimensional Burgers' equation. The effectiveness of the scheme is illustrated by solving two test problems with known exact solutions. High accuracy of the present scheme is achieved at different values of kinematic viscosity. The obtained numerical solutions are in excellent agreement with the exact solutions and the results are compared with the most popular known explicit methods for solving this equation

DOI

10.21608/eijest.2018.97263

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MohameD

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Affiliation

Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, P.O. 44519, Zagazig, Egypt.

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Volume

26

Article Issue

EIJEST, Vol. 26, 2018

Related Issue

14682

Issue Date

2018-11-01

Receive Date

2018-10-21

Publish Date

2018-11-01

Page Start

38

Page End

44

Print ISSN

1687-8493

Online ISSN

2682-3640

Article File

EIJEST_Volume 26_Issue EIJEST, Vol. 26, 2018_Pages 38-44.pdf

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https://eijest.journals.ekb.eg/article_97263.html

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https://eijest.journals.ekb.eg/service?article_code=97263

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Original Article

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1,348

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Publication Title

The Egyptian International Journal of Engineering Sciences and Technology

Publication Link

https://eijest.journals.ekb.eg/

MainTitle

Fully Implicit Scheme for Solving Burgers' Equation based on Finite Difference Method

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Article

Created At

23 Jan 2023