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Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]

open access: yesMethodsX
The fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan   +2 more
doaj   +2 more sources

Finite Difference Method for Solving Partial Integro-Differential Equations [PDF]

open access: diamondپژوهش‌های ریاضی, 2020
Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
doaj   +2 more sources

Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations [PDF]

open access: yesBMC Research Notes, 2021
Objective The main purpose of this paper is to present an accelerated nonstandard finite difference method for solving the singularly perturbed Burger-Huxley equation in order to produce more accurate solutions.
Masho Jima Kabeto, Gemechis File Duressa
doaj   +2 more sources

Nonstandard finite difference method for solving complex-order fractional Burgers’ equations [PDF]

open access: yesJournal of Advanced Research, 2020
The aim of this work is to present numerical treatments to a complex order fractional nonlinear one-dimensional problem of Burgers’ equations. A new parameter σt is presented in order to be consistent with the physical model problem.
N.H. Sweilam   +2 more
doaj   +2 more sources

A parameter uniform method for two-parameter singularly perturbed boundary value problems with discontinuous data

open access: yesMethodsX, 2023
We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain.
Nirmali Roy, Anuradha Jha
doaj   +1 more source

A mathematical system of COVID-19 disease model: Existence, uniqueness, numerical and sensitivity analysis

open access: yesMethodsX, 2023
A compartmental mathematical model of spreading COVID-19 disease in Wuhan, China is applied to investigate the pandemic behaviour in Iran. This model is a system of seven ordinary differential equations including individual behavioural reactions ...
Khadijeh Sadri   +2 more
doaj   +1 more source

Multiplicative finite difference methods [PDF]

open access: yesQuarterly of Applied Mathematics, 2009
Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.
Rıza, Mustafa   +2 more
openaire   +5 more sources

Finite-Difference-Impedance Method for Time-Delay Systems

open access: yesIEEE Access, 2022
The stability issues assessment by the impedance-based method demands the computation of accurate small-signal models. However, obtaining impedance models can be a time-consuming task if analytical models or the perturbation-based method are used ...
Juan Segundo-Ramirez   +3 more
doaj   +1 more source

Suitable Methods for Solving COVID-19 Model in Iraq

open access: yesWasit Journal for Pure Sciences, 2023
Because the Coronavirus epidemic spread in Iraq, the COVID-19 epidemic of people quarantined due to infection is our application in this work. The numerical simulation methods used in this research are more suitable than other analytical and numerical ...
Maha A.Mohammed, Mahdi A. Sabea
doaj   +1 more source

On the convergence of difference schemes of high accuracy for the equation of ion-acoustic waves in a magnetized plasma

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
Multiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied. In particular, the first boundary value problem for the equation of ion-acoustic waves in a
M.M. Aripov, D. Utebaev, Zh.A. Nurullaev
doaj   +1 more source

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