Results 11 to 20 of about 20,047 (287)
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus. [PDF]
Chaos Solitons Fractals, 2020 Srivastava HM, Saad KM, Khader MM.
europepmc +2 more sources
Legendre spectral-collocation method for solving some types of fractional optimal control problems. [PDF]
J Adv Res, 2015 Sweilam NH, Al-Ajami TM.
europepmc +2 more sources
Известия Иркутского государственного университета: Серия "Математика", 2023 This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei +2 more
doaj +1 more source
A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
doaj +1 more source
Computation, 2023 We propose two accurate and efficient spectral collocation techniques based on a (novel) domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs arising in financial modeling and with chaotic behavior.
Mohammad Izadi, Hari Mohan Srivastava
doaj +1 more source
Efficient Spectral Collocation Method for Tempered Fractional Differential Equations
Fractal and Fractional, 2023 Transient anomalous diffusion may be modeled by a tempered fractional diffusion equation. In this paper, we present a spectral collocation method with tempered fractional Jacobi functions (TFJFs) as basis functions and obtain an efficient algorithm to ...
Tinggang Zhao
doaj +1 more source
Mathematics, 2022 This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa +1 more
doaj +1 more source
Jacobi spectral collocation technique for fractional inverse parabolic problem
Alexandria Engineering Journal, 2022 We present an efficient numerical solution for the fractional inverse parabolic problem with an unknown condition in this study. In addition to the unknown temperature function, the suggested fractional inverse parabolic problem also has an unknown ...
M.A. Abdelkawy +3 more
doaj +1 more source
A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations
Entropy, 2021 The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma +5 more
doaj +1 more source
(Spectral) Chebyshev collocation methods for solving differential equations
Numerical Algorithms, 2023 25 pages, 2 figures, 2 ...
Pierluigi Amodio +2 more
openaire +4 more sources