Burgers ve coupled Burgers denklemlerinin tam ve nümerik çözümleri üzerine

Author:

BABAOĞLU Mine1

Affiliation:

1. Kahramanmaraş Sütçü İmam Üniversitesi

Abstract

In this work, one dimensional Burgers' equation and coupled Burgers' equation are solved via Homotopy perturbation method (HPM). Solutions two and three-dimensional graphics and tables of some obtained results are constructed with the help of the computational program in the Wolfram Mathematica. All the solutions found in this study validate the efficiency of the method. According to the results, we have found out that our gained solutions convergence very speedily to the analytical solutions. In conclusion, we can say that the present method can also be applied for the solutions of a wide range of nonlinear problems.

Publisher

Ordu University

Reference17 articles.

1. Referans1 Adomian G (1994). Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston

2. Referans2 Alomari A K, Noorani M S M & Nazar R (2008). Solving The Homotopy Analysis Method for the Exact Solutions of the K(2,2), Burgers and Coupled Burgers Equations. Applied Mathematical Sciences 2 (40): 1963-1977

3. Referans3 Babaoğlu M (2009). Diferansiyel Denklemlerin Sayısal Çözümlerinde Adomian Ayrışım Metodu ve Homotopi Analiz Metodu’ nun Karşılaştırılması. Yüksek lisans tezi, Kahramanmaraş Sütçü İmam Üniversitesi Fen Bilimleri Enstitüsü, Kahramanmaraş

4. Referans4 Cole J D (1968). Perturbation Methods in Applied Mathematics. Blaisdell Publishing Company, Waltham Massachusetts

5. Referans5 Esipov S E (1995). Coupled Burgers equations: A model of polydispersive sedimentation. Physical Review E 52 (4): 3711-3718

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