Solutions of the fractional combined KdV-mKdV equation with collocation method using radial basis function and their geometrical obstructions
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Dosyalar
Tarih
2018
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Yayıncı
Springeropen
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The exact solution of fractional combined Korteweg-de Vries and modified Korteweg-de Vries (KdV-mKdV) equation is obtained by using the expansion method. To investigate a geometrical surface of the exact solution, we choose . The collocation method is applied to the fractional combined KdV-mKdV equation with the help of radial basis for . and error norms are computed with the Mathematica program. Stability is investigated by the Von-Neumann analysis. Instable numerical solutions are obtained as the number of node points increases. It is shown that the reason for this situation is that the exact solution contains some degenerate points in the Lorentz-Minkowski space.
Açıklama
Anahtar Kelimeler
Collocation method, Fractional combined Korteweg-de Vries and modified Korteweg-de Vries equation, Lorentz-Minkowski space
Kaynak
Advances in Difference Equations
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