الحل العددي لمعادلة Korteweg-de Vries-Burger وتحليل الاستقرارية العددية
الملخص
.
المراجع
]0[ Lpidus,Leon and George,F.P.(1982).Numerical solution of partial differential equation in science and engineering, John Wiley and Sons,Inc.
]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.
التنزيلات
منشور
كيفية الاقتباس
إصدار
القسم
الرخصة
الحقوق الفكرية (c) 2021 نجية محمد أبوجلالة، سمية محمد عيسى أبوجلالة
هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.
