Numerical Solution of an Inviscid Burger Equation with Cauchy Conditions

Authors

  • Muhammad Zahid

DOI:

https://doi.org/10.54938/ijemdm.2022.01.3.104

Keywords:

Burger’s equation; Upwind conservative and non-conservative method; Upwind conservative method; Lax Friedrich method; Lax Wendroff method; Mac Cormack method, Initial-value problem

Abstract

This article deals with the solution of the Cauchy problem for the Inviscid Burger equation. Various numerical techniques like Upwind non Conservative, Upwind Conservative, Lax Friedrich, Lax Wendorff, and Mac Cormack, are used to solve initial-value problems for the Inviscid Burger equation. Through various model problems, the efficiency and accuracy of the techniques have been shown via the graphical and tabulated form with the exact solution

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Author Biography

Muhammad Zahid

Assistant Professor of Mathematics, (MS from HITEC University, taxila)

Department of Mathematics, Government Postgraduate College Haripur

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Published

2022-09-14

How to Cite

Zahid, M. (2022). Numerical Solution of an Inviscid Burger Equation with Cauchy Conditions. International Journal of Emerging Multidisciplinaries: Mathematics, 1(3), 62–73. https://doi.org/10.54938/ijemdm.2022.01.3.104

Issue

Vol. 1 No. 3 (2022)

Section

Research Article

Categories

License

Copyright (c) 2022 International Journal of Emerging Multidisciplinaries: Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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