Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We demonstrate the existence of a unique solution to a nonhomogeneous telegraph initial/boundary value problem on the unit square in an appropriate binary reproducing kernel Hilbert space which depends on the smoothness of the driver. Examples are given to illustrate the numerical effectiveness of the reproducing kernel method when properly applied and the aberrations which can occur when no solution exists in the space.
Açıklama
International Conference on Computational Modeling and Simulation -- MAY 17-19, 2017 -- Colombo, SRI LANKA
Anahtar Kelimeler
Reproducing kernel Hilbert space, Existence of solutions, Telegraph equation
Kaynak
Differential Equations and Dynamical Systems
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
28
Sayı
3
