Finite and Infinite Dimensional Reproducing Kernel Hilbert Space Approach for Bagley–Torvik Equation

In this paper, two different numerical approaches are presented in finite dimensional and infinite dimensional reproducing kernel Hilbert spaces for the fractional order Bagley–Torvik equation with boundary conditions. The reproducing kernel functions are obtained in finite dimensional Hilbert space...

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Vydáno v:	International journal of applied and computational mathematics Ročník 11; číslo 1; s. 18
Hlavní autoři:	Ata, Ayşe, Sakar, Mehmet Giyas, Saldır, Onur, Şenol, Mehmet
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New Delhi Springer India 01.02.2025 Springer Nature B.V
Témata:	Applications of Mathematics Approximation Boundary conditions Boundary value problems Computational Science and Engineering Engineering Graphical representations Hilbert space Kernel functions Mathematical analysis Mathematical and Computational Physics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Methods Nuclear Energy Operations Research/Decision Theory Ordinary differential equations Original Paper Partial differential equations Physics Polynomials Theoretical Numerical approximation Reproducing kernel method Bagley–Torvik equation Boundary value problem Shifted Legendre polynomials
ISSN:	2349-5103, 2199-5796
On-line přístup:	Získat plný text
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