Results 41 to 50 of about 14,885,883 (209)

Solution of Fractional Mathieu Equation by Reproducing Kernel Hilbert Space Method [PDF]

open access: yes, 2015
In this paper we use reproducing kernel Hilbert space method (RKHSM) and fractional power series to solve fractional Mathieu equation. A comparison tables are given.
AL- Azzawi, Saad N.   +2 more
core   +1 more source

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

open access: yesAdvances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan   +5 more
doaj   +1 more source

Solutions of fractional differential equations with reproducing kernel hilbert space method

open access: yes, 2022
Bu tez yedi bölümden oluşmaktadır. Birinci bölümde, kesir mertebeli türev ve doğuran çekirdekli Hilbert uzayı metodu hakkında tarihsel gelişim ve literatür taraması verilmiştir. İkinci bölümde, tez çalışmasında kullanılacak olan temel tanım, teorem ve ön
Şenol, Mehmet, Ata, Ayşe
core  

A new kernel method for the uniform approximation in reproducing kernel Hilbert spaces

open access: yesApplied Mathematics Letters
This paper discussed the uniform approximation of functions on reproducing kernel Hilbert spaces (RKHS). In this direction, classical approximation methods are investigated by Fourier orthogonal projections (assuming that the Fourier coefficients are given) and their discrete versions (assuming that function values are well-distributed).
Themistoclakis, Woula, Van Barel, Marc
openaire   +2 more sources

Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function

open access: yesAdvanced Intelligent Systems, EarlyView.
A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia   +3 more
wiley   +1 more source

Reproducing Kernel Hilbert Space vs. Frame Estimates

open access: yes, 2015
We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Myung-Sin Song   +2 more
core   +1 more source

Advances in causal discovery methods for ecological time series. [PDF]

open access: yesBiol Rev Camb Philos Soc
ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Suzuki K   +6 more
europepmc   +2 more sources

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

open access: yesAbstract and Applied Analysis, 2014
A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition.
Jing Niu, Ping Li
doaj   +1 more source

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces

open access: yesCoRR
Data-driven spectral analysis of Koopman operators is a powerful tool for understanding numerous real-world dynamical systems, from neuronal activity to variations in sea surface temperature. The Koopman operator acts on a function space and is most commonly studied on the space of square-integrable functions.
Nicolas Boullé   +2 more
openaire   +3 more sources

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

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