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Kombine KdV-mKdV Denkleminin Kuintik B-Splayn Diferansiyel Kuadratür Yöntemiyle Sayısal Yaklaşımlar
2019
Journal:  
Adıyaman Üniversitesi Fen Bilimleri Dergisi
Author:  
Abstract:

Bu makalede, kombine Korteweg-de Vries ve modifiye edilmiş Korteweg-de Vries denkleminin (kombine KdV-mKdV) sayısal yaklaşımını elde etmek için kuintik B-spline diferansiyel kuadratür yöntemi (QBDQM) uygulanmıştır. Yöntemin etkinliği ve doğruluğu, maksimum hata normu L_\infinity ve ayrık kök ortalama kare hatası L_2 hesaplanarak ölçülmüştür. Yeni elde edilen sayısal sonuçlar, yayınlanan sayısal sonuçlarla karşılaştırıldı ve karşılaştırma, yöntemin, kombine KdV-mKdV denklemini çözmek için etkili bir sayısal şema olduğunu göstermiştir. Aynı zamanda bir kararlılık analizi de yapılmıştır.

Keywords:

Numerical Approximation Of The Combined Kdv-mkdv Equation Via The Quintic B-spline Differential Quadrature Method
2019
Author:  
Abstract:

In this paper, quintic B-spline differential quadrature method (QBDQM) has been used to obtain the numerical approximation of the combined Korteweg-de Vries and modified Korteweg-de Vries equation (combined KdV-mKdV). The efficiency and effectiveness of the proposed method has been tested by computing the maximum error norm L_\infinity and discrete root mean square error L_2. The newly found numerical approximations have been compared to available numerical approximations and this comparison has shown that the proposed method is an efficient one for solving 

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Adıyaman Üniversitesi Fen Bilimleri Dergisi

Field :   Fen Bilimleri ve Matematik

Journal Type :   Ulusal

Metrics
Article : 230
Cite : 272
2023 Impact : 0.018
Adıyaman Üniversitesi Fen Bilimleri Dergisi