Two-dimensional muntz-legendre wavelet method for fuzzy hybrid differential equations
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the two-dimensional Muntz-Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations in a matrix form. Thus, by solving this system, the unknown coefficients are obtained. The convergence of the proposed method is established in detail. Numerical results reveal that the two-dimensional Muntz-Legendre wavelet is very effective and convenient for solving the fuzzy Hybrid differential equation. © 2023 World Scientific Publishing Company.
Açıklama
Anahtar Kelimeler
Fuzzy Hybrid Differential Equation, Fuzzy Number Valued Functions, Generalized Hukuhara Differentiable, Two-Dimensional Muntz-Legendre Wavelet Method
Kaynak
New Mathematics and Natural Computation
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
Sayı
Künye
Shahryari, N., Allahviranloo, T., & Abbasbandy, S. (2022). Two-dimensional muntz-legendre wavelet method for fuzzy hybrid differential equations. New Mathematics and Natural Computation, doi:10.1142/S1793005723500059