Results 31 to 40 of about 320 (204)

Photonics of Topological Magnetic Textures

Advanced Optical Materials, EarlyView.
Localized noncollinear magetic textures imprint their geometry and topology onto traversing photonic fields endowing them with orbital angular‐momentum, chirality, and magnetoelectric densities. Abstract Topological textures in magnetically ordered materials are an important case studies for fundamental research with promising applications in data ...
Vakhtang Jandieri, Ramaz Khomeriki, Daniel Erni, Nicolas Tsagareli, Qian Li, Douglas H. Werner, Jamal Berakdar   +6 more
wiley   +1 more source

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

Alexandria Engineering Journal
This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source

Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations

Journal of Applied Mathematics, 2013
This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu   +3 more
doaj   +1 more source

A New Operational Matrix of Fractional Derivatives to Solve Systems of Fractional Differential Equations via Legendre Wavelets

Mathematics, 2018
This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
doaj   +1 more source

Enhanced High Dimensionality and the Information Processing Capacity in Interfered Spin Wave‐Based Reservoir Computing, Achieved With Eight Detectors

Advanced Electronic Materials, EarlyView.
Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa, Wataru Namiki, Daiki Nishioka, Maki Nishimura, Ryo Iguchi, Kazuya Terabe, Takashi Tsuchiya   +6 more
wiley   +1 more source

Legendre Wavelet expansion of functions and their Approximations

Ratio Mathematica, 2019
In this paper , nine new Legendre wavelet estimators of functions having bounded third and fourth derivatives have been obtained.These estimators are new and best approximation in wavelet analysis. Legendre wavelet estimator of a function f of bounded higher order derivatives is better and sharper than the estimator of a function f of bounded less ...
Bhan, Indra, Shyam, Lal, Shyam, Lal
openaire   +2 more sources

Neuromorphic Photonic Processing and Memory With Spiking Resonant Tunneling Diode Neurons and Neural Networks

Advanced Intelligent Systems, EarlyView.
This work shows resonant tunneling diode‐based opto‐electronic spiking neurons enabling fast edge detection in time series, a two‐layer photonic spiking neural network for complex classification, and a depth‐tunable photonic spiking memory system. Neuromorphic computing—modeled after the functionality and efficiency of biological neural systems—offers ...
Dafydd Owen‐Newns, Joshua Robertson, Giovanni Donati, Qusay Al‐Taai, José Figueiredo, Edward Wasige, Kathy Lüdge, Bruno Romeira, Antonio Hurtado   +8 more
wiley   +1 more source

A new approach for solving Bratu’s problem

Demonstratio Mathematica, 2019
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
doaj   +1 more source

Parameter identification for nonlinear damping coefficient from large-amplitude ship roll motion using wavelets

Beni-Suef University Journal of Basic and Applied Sciences, 2017
In this paper, we have introduced an efficient Legendre wavelet spectral method (LWSM) to ship roll motion model for investigating the nonlinear damping coefficients.
D. Sathyaseelan, G. Hariharan, K. Kannan
doaj   +1 more source

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

Mathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source