Numerical solution for boundary layer flow due to a nonlinearly stretching sheet with variable thickness and slip velocity

MM Khader, AM Megahed - The European physical journal plus, 2013 - Springer
This article presents a numerical solution for the flow of a Newtonian fluid over an
impermeable stretching sheet with a power law surface velocity, slip velocity and variable …

A numerical method for solving the Rubella ailment disease model

AMS Mahdy, KA Gepreel, K Lotfy… - International Journal of …, 2021 - World Scientific
In this paper, we work on the fundamental collocation strategy using the moved Vieta–Lucas
polynomials type (SVLPT). A numeral method is used for unwinding the nonlinear Rubella …

A discontinuous Petrov--Galerkin method for time-fractional diffusion equations

K Mustapha, B Abdallah, KM Furati - SIAM Journal on Numerical Analysis, 2014 - SIAM
We propose and analyze a time-stepping discontinuous Petrov--Galerkin method combined
with the continuous conforming finite element method in space for the numerical solution of …

Numerical solutions for solving model time‐fractional Fokker–Planck equation

AMS Mahdy - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this work, we use two different techniques to discuss approximate analytical solutions for
the time‐fractional Fokker–Planck equation (TFFPE), namely the new iterative method (NIM) …

Time-fractional diffusion equation for signal smoothing

Y Li, F Liu, IW Turner, T Li - Applied Mathematics and Computation, 2018 - Elsevier
The time-fractional diffusion equation is used for signal smoothing. Compared to the
classical diffusion equation, the time-fractional diffusion equation has another adjustable …

Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation

NH Sweilam, AM Nagy, AA El-Sayed - Chaos, Solitons & Fractals, 2015 - Elsevier
In this paper, an efficient numerical method for solving space fractional order diffusion
equation is presented. The numerical approach is based on shifted Chebyshev polynomials …

Hybrid stochastic fractional-based approach to modeling bacterial quorum sensing

C Kuttler, A Maslovskaya - Applied Mathematical Modelling, 2021 - Elsevier
Bacterial communication is a complex process, which can be formalized by a deterministic
approach and then explored by means of methods of mathematical modeling and computer …

Two mixed finite element methods for time-fractional diffusion equations

Y Zhao, P Chen, W Bu, X Liu, Y Tang - Journal of Scientific Computing, 2017 - Springer
Based on spatial conforming and nonconforming mixed finite element methods combined
with classical L 1 time stepping method, two fully-discrete approximate schemes with …

[HTML][HTML] Subdiffusion in membrane permeation of small molecules

C Chipot, J Comer - Scientific Reports, 2016 - nature.com
Within the solubility–diffusion model of passive membrane permeation of small molecules,
translocation of the permeant across the biological membrane is traditionally assumed to …

Numerical solution of stochastic fractional differential equations

M Kamrani - Numerical Algorithms, 2015 - Springer
Nowadays, fractional calculus is used to model various different phenomena in nature. The
aim of this paper is to investigate the numerical solution of stochastic fractional differential …