Results 11 to 20 of about 701,369 (343)

An Operational Matrix Method Based on Poly-Bernoulli Polynomials for Solving Fractional Delay Differential Equations

Computation, 2020
In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function.
Chang Phang, Yoke Teng Toh, Farah Suraya Md Nasrudin   +2 more
doaj   +1 more source

Operational matrix-based technique treating mixed type fractional differential equations via shifted fifth-kind Chebyshev polynomials

Applied Mathematics in Science and Engineering, 2023
The theory of mixed fractional operators is still an uncovered area in fractional modelling. These multi-sided operators result by combining two fractional derivatives with different kernels, that is, the right-sided Caputo's and the left-sided Riemann ...
Mohamed Obeid, Mohamed A. Abd El Salam, Jihad A. Younis   +2 more
doaj   +1 more source

Chebyshev Cardinal Wavelets for Nonlinear Volterra Integral Equations of the Second Kind [PDF]

Mathematics Interdisciplinary Research, 2022
This study concentrated on the numerical solution of a nonlinear Volterra integral equation. The approach is accorded to a type of orthogonal wavelets named the Chebyshev cardinal wavelets.
Behnam Salehi, Leila Torkzadeh, Kazem Nouri   +2 more
doaj   +1 more source

Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]

, 2017
In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi, Abdo Alkhadhera, Sadeq Abdullah, Abdul Kadir, Aeslina, Al-Gheethi, Adel, M. Magam, Sami, Masood, Najat, Suratman, Suhaimi, Y. A. Alanazid, Tahani, Zakaria, Mohamad Pauzi   +8 more
core   +2 more sources

Parameter Identification of Fractional Order Systems Using a Hybrid of Bernoulli Polynomials and Block Pulse Functions

IEEE Access, 2021
Block pulse functions (BPFs) are piecewise constant and not sufficiently smooth. Therefore, their accuracy is limited when it comes to identifying the parameters of fractional order systems (FOSs).
Bo Zhang, Yinggan Tang, Xuguang Zhang, Chunjiang Zhang   +3 more
doaj   +1 more source

Estimation of the regression function by Legendre wavelets [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2022
We estimate a function f with N independent observations by using Leg-endre wavelets operational matrices. The function f is approximated with the solution of a special minimization problem.
M. Hamzehnejad, M.M. Hosseini, A. Salemi
doaj   +1 more source

Numerical solution of damped forced oscillator problem using Haar wavelets [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2015
We present here the numerical solution of damped forced oscillator problem using Haar wavelet and compare the numerical results obtained with some well-known numerical methods such as Runge-Kutta fourth order classical and Taylor Series methods ...
Inderdeep Singh, Sheo Kumar
doaj   +1 more source

2D-fractional Muntz–Legendre polynomials for solving the fractional partial differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2020
We present a numerical method for solving linear and nonlinear fractional partial differential equations (FPDEs) with variable coefficients. The main aim of the proposed method is to introduce an orthogonal basis of twodimensional fractional Muntz ...
E. Hengamian Asl, J. Saberi-Nadjafi, M. Gachpazan   +2 more
doaj   +1 more source

Information preserving structures: A general framework for quantum zero-error information [PDF]

, 2010
Quantum systems carry information. Quantum theory supports at least two distinct kinds of information (classical and quantum), and a variety of different ways to encode and preserve information in physical systems. A system's ability to carry information
A. Granas, C. E. Shannon, C. E. Shannon, C. E. Shannon, C. W. Helstrom, D. Kribs, David Poulin, Hui Khoon Ng, J. A. Wheeler, K. Davidson, K. Hoffman, K. Kraus, Lorenza Viola, M. A. Nielsen, R. Alicki, Robin Blume-Kohout, T. M. Cover   +16 more
core   +3 more sources

Chebyshev Operational Matrix Method for Lane-Emden Problem

Nonlinear Engineering, 2019
In the this paper, a new modified method is proposed for solving linear and nonlinear Lane-Emden type equations using first kind Chebyshev operational matrix of differentiation.
Sharma Bhuvnesh, Kumar Sunil, Paswan M.K., Mahato Dindayal   +3 more
doaj   +1 more source