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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Raslan, K. R., S. EL-Danaf, Talaat, k. Ali, khalid. (1395). Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation. سامانه مدیریت نشریات علمی, 4(3), 191-204.
K. R. Raslan; Talaat S. EL-Danaf; khalid k. Ali. "Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation". سامانه مدیریت نشریات علمی, 4, 3, 1395, 191-204.
Raslan, K. R., S. EL-Danaf, Talaat, k. Ali, khalid. (1395). 'Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation', سامانه مدیریت نشریات علمی, 4(3), pp. 191-204.
Raslan, K. R., S. EL-Danaf, Talaat, k. Ali, khalid. Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation. سامانه مدیریت نشریات علمی, 1395; 4(3): 191-204.

Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation

Computational Methods for Differential Equations
مقاله 2، دوره 4، شماره 3، مهر 2016، صفحه 191-204    اصل مقاله (358.76 K)
نوع مقاله: Research Paper
نویسندگان
K. R. Raslan1؛ Talaat S. EL-Danaf2؛ khalid k. Ali* 1
1Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City (11884), Cairo, Egypt
2Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt
چکیده
In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV equation to system of two equations. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms L2, L∞ are computed. Three invariants of motion are predestined to determine the preservation properties of the problem, and the numerical scheme leads to careful and active results. Furthermore, interaction of two and three solitary waves is shown. These results show that the technique introduced here is easy to apply.
کلیدواژه‌ها
Collocation method؛ cubic B-Spline methods؛ KdV equation
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