NON-POLYNOMIAL CUBIC SPLINE METHOD USED TO FATHOM SINE GORDON EQUATIONS IN 3+1 DIMENSIONS
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Vinca Inst Nuclear Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study contains an algorithmic solution of the Sine Gordon equation in three space and time dimensional problems. For discretization, the central difference formula is used for the time variable. In contrast, space variable x, y, and z are discretized using the non-polynominal cubic spline functions for each. The proposed scheme brings the accuracy of order O(h(2) + k(2) + sigma(2) + iota(2)h(2) + iota(2)k(2) + iota(2)sigma(2)) by electing suitable parametric values. The paper also discussed the truncation error of the proposed method and obtained the stability analysis. Numerical problems are elucidated by this method and compared to results taken from the literature.
Açıklama
Anahtar Kelimeler
Sine gordon equation, 3-D wave equations, truncation error, non-polynomial cubic spline function, stability analysis
Kaynak
Thermal Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
27
Sayı
4B
