Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers' Equation

Mine Babaoğlu

doi:10.32323/ujma.1173595

EN

Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers' Equation

Abstract

In the present paper explores, the Burgers' Equation which is the considerable partial differential equation that emerges in nonlinear science. Also, Homotopy Analysis Method (HAM) has been implemented to Burgers' equation with given initial conditions. The efficieny of the proposed method is analyzed by using some illustrative problems. We are compared approximate solutions acquired via HAM with the exact solutions. As a result of comparisons, it is demonstrated that the gained solutions are in excellent agreement. Additionally, 2D-3D graphs and tables of attained results are drawn by means of a ready-made package program. The recent obtained results denote that HAM is extremely efficient technique. Nonlinear partial differential equations can be solved with the help of presented method.

Keywords

Burgers' Equation, Homotopy Analysis Method, Auxiliary parameter, Approximate solution

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mine Babaoğlu ^*
Türkiye

Publication Date

September 30, 2022

Submission Date

September 10, 2022

Acceptance Date

September 24, 2022

Published in Issue

Year 2022 Volume: 5 Number: 3

DOI

https://doi.org/10.32323/ujma.1173595

IZ

https://izlik.org/JA64TP92LS

APA

Babaoğlu, M. (2022). Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation. Universal Journal of Mathematics and Applications, 5(3), 82-88. https://doi.org/10.32323/ujma.1173595

AMA

1.Babaoğlu M. Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation. Univ. J. Math. Appl. 2022;5(3):82-88. doi:10.32323/ujma.1173595

Chicago

Babaoğlu, Mine. 2022. “Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation”. Universal Journal of Mathematics and Applications 5 (3): 82-88. https://doi.org/10.32323/ujma.1173595.

EndNote

Babaoğlu M (September 1, 2022) Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation. Universal Journal of Mathematics and Applications 5 3 82–88.

IEEE

[1]M. Babaoğlu, “Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation”, Univ. J. Math. Appl., vol. 5, no. 3, pp. 82–88, Sept. 2022, doi: 10.32323/ujma.1173595.

ISNAD

Babaoğlu, Mine. “Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation”. Universal Journal of Mathematics and Applications 5/3 (September 1, 2022): 82-88. https://doi.org/10.32323/ujma.1173595.

JAMA

1.Babaoğlu M. Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation. Univ. J. Math. Appl. 2022;5:82–88.

MLA

Babaoğlu, Mine. “Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation”. Universal Journal of Mathematics and Applications, vol. 5, no. 3, Sept. 2022, pp. 82-88, doi:10.32323/ujma.1173595.

Vancouver

1.Mine Babaoğlu. Study on the Applications of Semi-Analytical Method for the Construction of Numerical Solutions of the Burgers’ Equation. Univ. J. Math. Appl. 2022 Sep. 1;5(3):82-8. doi:10.32323/ujma.1173595