الحل العددي لمعادلة Korteweg-de Vries-Burger وتحليل الاستقرارية العددية

Authors

  • نجية محمد أبوجلالة جامعة مصراتة, قسم الرياضيات ليبيا
  • سمية محمد عيسى أبوجلالة جامعة مصراتة, قسم الرياضيات ليبيا

Abstract

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References

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]2[ M.A. Helal,and M.S. Mehanna. (2006). A Comparison Between Two Different Methods for Solving Kdv-Burgers Equation, Chaos, Solitons and Fractals, 28, 320-326.

]3[ Handschuh, Robert F,(1987), An Exponential Finite Difference Technique for Solving Partial Differential Equations, Toledo,Uni.of Ohio,NASA,Technical Memorandum 89874,M.S.Thesis.

]4[ Handschuh, Robert F and Theo G.Keith Jr.(1988).Application of an Exponential Finite Difference Technique,NASA,Technical Memorandum 100939,AVSCOM, Technical Memorandum 88-C-004.

]5[ Duffy, Daniel J.(2006). Finite Difference Methods in Financial Engineering A Partial Differential Equation Approach, England, The Atrium, Southern Gate, Chi-Chester, West Sussex PO198SQ, John wiley and Sons Ltd.

]6[ Dambaru Bhatta. (2008).Use of Modified Bernstein Polynominals to Solve KdV-Burger Equation Numerically, Applied Mathematics and Computation,206,457-464

]7[ Bahadir,A.Refik.(2005). Eponential finite-Difference method applied to Korteweg-de Vries Equation for Small Times, Applied Mathematics and Computation,Vol.160,pp.675-682.

]8[ El-Danaf, Talaat S.Aly .(2002) . Numerical Soluion of the Korteweg-deVires-Burgers equation by using Quintic Spline Method , Studia Univ , Babes- Bolyai, Mathematica , Vol.XLVII,NO.2.PP.41-54.

]9[ Dogan Kaya.(2004) . An Application of Decomposition Method for the KdVB Equation, Applied Mathematics and Computation, 152, 279-288.

]01[ K.pandey, Lajja Verma and Amit K.Vema.(2013). Finite Difference scheme for KdV_B equation, Vol.2, pp 91-101, DOI:10.1007/s40065-012-0050-1, published with open access at Springer link.

Published

2021-07-30

How to Cite

أبوجلالة ن. م., & أبوجلالة س. م. ع. (2021). الحل العددي لمعادلة Korteweg-de Vries-Burger وتحليل الاستقرارية العددية. Journal of Academic Research, 19, 9–17. Retrieved from https://lam-journal.ly/index.php/jar/article/view/339

Issue

Section

العلوم الهندسية والتطبيقية