Results 61 to 70 of about 1,519,058 (188)

Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration

Mathematics, 2020
In this article, we propose a numerical method based on the fractional Taylor vector for solving multi-term fractional differential equations. The main idea of this method is to reduce the given problems to a set of algebraic equations by utilizing the ...
İbrahim Avcı, Nazim I. Mahmudov
doaj   +1 more source

Compacton-like solutions of the hydrodynamic system describing relaxing media

, 2007
We show the existence of a compacton-like solutions within the relaxing hydrodynamic-type model and perform numerical study of attracting features of these ...
Barenblatt, Danylenko, Davydov, Demekhin, Dodd, Godunov, Guckenheimer, Hassard, Iskol’dskii, Landau, Olver, Olver, Rosenau, Rosenau, Rozhdestvenskij, Soloukhin, V.A. Vladimirov, Vakhnenko, Y.A., Zhang   +19 more
core   +1 more source

Decadal wind-driven east–west asymmetry of chlorophyll-a in the Ross Sea region

Environmental Research Letters
The Ross Sea, the most productive region of phytoplankton around the Antarctic margin, supports the marine food web in the Southern Ocean. However, the long-term variability of chlorophyll-a production is not fully understood.
Libao Gao, Yuanrong Guo, Guijun Guo, Bin Kong, Guy D Williams   +4 more
doaj   +1 more source

A Pressure Projection Scheme With Near‐Spectral Accuracy for Nonhydrostatic Flow in Domains With Open Boundaries

Journal of Advances in Modeling Earth Systems
We describe a pressure projection scheme for the simulation of incompressible flow in cubic domains with open boundaries based on fast Fourier transforms. The scheme is implemented in flow_solve, a numerical code designed for process studies of rotating,
K. B. Winters, Mariona Claret, M.‐Pascale Lelong, Yann Ourmières   +3 more
doaj   +1 more source

Iterated Petrov–Galerkin Method with Regular Pairs for Solving Fredholm Integral Equations of the Second Kind

Mathematical and Computational Applications, 2018
In this work we obtain approximate solutions for Fredholm integral equations of the second kind by means of Petrov–Galerkin method, choosing “regular pairs” of subspaces, Xn,Yn, which are simply characterized by the positive definitiveness of a ...
Silvia Alejandra Seminara, María Inés Troparevsky   +1 more
doaj   +1 more source

Direct numerical solutions of the SIR and SEIR models via the Dirichlet series approach. [PDF]

PLoS One, 2023
Prathom K, Jampeepan A.
europepmc   +1 more source

On Physically Unacceptable Numerical Solutions Yielding Strong Chaotic Signals. [PDF]

Entropy (Basel), 2022
Marszalek W.
europepmc   +1 more source

Numerical integration of asymptotic solutions of ordinary differential equations [PDF]

Classical asymptotic analysis of ordinary differential equations derives approximate solutions that are numerically stable. However, the analysis also leads to tedious expansions in powers of the relevant parameter for a particular problem.
Thurston, Gaylen A.
core   +1 more source

Thermal and stability analysis of silver–water nanofluid flow over unsteady stretching sheet under the influence of heat generation/absorption at the boundary

Nanotechnology Reviews
The aim of this study is to examine a numerical analysis of nanofluid (NF) containing silver (Ag) nanoparticles using water (H2O) as a host fluid through an unsteady stretching sheet with stability analysis.
Shah Nehad Ali, Alabduljabbar Areej Abdullah, Zeeshan, Yook Se-Jin   +3 more
doaj   +1 more source

Application of the Caputo-Fabrizio Fractional Derivative without Singular Kernel to Korteweg-de Vries-Burgers Equation∗

Mathematical Modelling and Analysis, 2016
In order to bring a broader outlook on some unusual irregularities observed in wave motions and liquids’ movements, we explore the possibility of extending the analysis of Korteweg–de Vries–Burgers equation with two perturbation’s levels to the concepts ...
Emile Franc Doungmo Goufo
doaj   +1 more source