Results 31 to 40 of about 8,808,665 (333)

Existence of solutions for hybrid modified ABC-fractional differential equations with p-Laplacian operator and an application to a waterborne disease model

open access: yesAlexandria Engineering Journal, 2023
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for modified ABC-fractional differential equations (mAB-FDEs) with p-Laplacian operator.
Hasib Khan   +2 more
doaj   +1 more source

An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation

open access: yesJournal of Computational and Applied Mathematics, 2021
In this paper we present an error analysis for a second order accurate numerical scheme for the 2-D and 3-D Cahn-Hilliard (CH) equation, with an improved convergence constant.
Jing Guo   +3 more
semanticscholar   +1 more source

A New Fourth-Order Predictor–Corrector Numerical Scheme for Heat Transfer by Darcy–Forchheimer Flow of Micropolar Fluid with Homogeneous–Heterogeneous Reactions

open access: yesApplied Sciences, 2022
This paper proposes a numerical scheme for solving linear and nonlinear differential equations obtained from the mathematical modeling of a flow phenomenon. The scheme is constructed on two grid points.
Yasir Nawaz   +2 more
doaj   +1 more source

A Positive and Energy Stable Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard Equations with Steric Interactions [PDF]

open access: yesJournal of Computational Physics, 2020
We consider numerical methods for the Poisson-Nernst-Planck-Cahn-Hilliard (PNPCH) equations with steric interactions. We propose a novel energy stable numerical scheme that respects mass conservation and positivity at the discrete level.
Y. Qian, Cheng Wang, Shenggao Zhou
semanticscholar   +1 more source

On Some Numerical Dissipation Schemes [PDF]

open access: yesJournal of Computational Physics, 1998
We consider several schemes for introducing an artificial dissipation into a central difference approximation to Euler and Navier-Stokes equations. The focus is on the convective upwind split pressure scheme, which is designed to support single interior point discrete shock waves.
Swanson, R.C., Radespiel, R., Turkel, E.
openaire   +3 more sources

Exploring the Efficiency of the q-Homotopy Analysis Transform Method for Solving a Fractional Initial Boundary Value Problem with a Nonlocal Condition

open access: yesAxioms, 2023
This article employs the q-homotopy analysis transformation method (q-HATM) to numerically solve, subject to an integral condition, a fractional IBVP. The resulting numerical scheme is applied to solve, in which the exact solution is obtained, several ...
Said Mesloub, Huda Alsaud
doaj   +1 more source

A Reliable Combination of Double Laplace Transform and Homotopy Analysis Method for Solving a Singular Nonlocal Problem with Bessel Operator

open access: yesAxioms, 2023
In this article, we present a numerical iterative scheme for solving a non-local singular initial-boundary value problem by combining two well known efficient methods. Namely, the homotopy analysis method and the double Laplace transform method.
Said Mesloub   +2 more
doaj   +1 more source

Investigation of the Stochastic Modeling of COVID-19 with Environmental Noise from the Analytical and Numerical Point of View

open access: yesMathematics, 2021
In this article, we propose a novel mathematical model for the spread of COVID-19 involving environmental white noise. The new stochastic model was studied for the existence and persistence of the disease, as well as the extinction of the disease.
Shah Hussain   +6 more
doaj   +1 more source

Comparative analysis of different numerical schemes in solute trapping simulations by using the phase-field model with finite interface dissipation [PDF]

open access: yesJournal of Mining and Metallurgy. Section B: Metallurgy, 2016
Two different numerical schemes, the standard explicit scheme and the time-elimination relaxation one, in the framework of phase-field model with finite interface dissipation were employed to investigate the solute trapping effect in a Si-4.5 at.
Yang X.   +5 more
doaj   +1 more source

Modeling and analysis of the addiction of social media through fractional calculus

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life.
Meshal Shutaywi   +6 more
doaj   +1 more source

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