عنوان

A New Approximate Series Method for Solving COVID-19 Infection Model With the Existence of Vaccine and Two Different Drugs

Number

T27788

.Language of Text, Soundtrack etc

انگلیسی

Title Proper

A New Approximate Series Method for Solving COVID-19 Infection Model With the Existence of Vaccine and Two Different Drugs

General Material Designation

Dissertation

First Statement of Responsibility

MohammedMohsin

Name of Publisher, Distributor, etc.

Mathematical Sciences

Date of Publication, Distribution, etc.

1401

Specific Material Designation and Extent of Item

74p.

Other Physical Details

cd

Dissertation or thesis details and type of degree

M.S.

Discipline of degree

APPLIED MATHEMATICS

Date of degree

1401/07/09

Text of Note

Real world phenomena that are complex are recognized to be well-described using fractionalordinary differential equations (FFODEs) and fractional systems of. ordinary differentialequations. The analytical approach for solving system of FFODEs aims to giveclosed-form solutions that are considered exact solutions. However, for most systems ofFFODEs, the analytical solutions are not easily derived. Moreover, most complex real worldphenomena tend to lack analytical solutions. The approximation approach can handle thisdrawback by providing open-form solutions where several systems of FFODEs are solvableusing the approximate-numerical class of methods. However, those methods are mostly employedfor linear or linearized problems, and they cannot directly solve systems of FFODESof fractional order. Meanwhile, the approximate-analytic class of methods under the approximationapproach are not only applicable to nonlinear system of FFODEs without the needfor linearization or discretization, but also can determine solution accuracy without requiringthe exact solution for comparison. However, existing approximate-analytical methodscannot ensure convergence of the solution. Nevertheless, to solve fractional system of ordinarydifferential equations, there exist perturbation-based methods: the fractional homotopyperturbation method (F-HPM) that possess convergence-control ability. Therefore, this researchaims to develop new convergence-controlled approximate-analytical methods, F-HPMfor solving first-order system of fractional ordinary initial value problems. In the theoreticaldevelopment, the general form of the F-HPM was introduced to solve a new fractionalsystem for modelling a new covid-19 model. In the experimental work, the convergence ofsolutions is determined using properties of fractional calculus. F-HPM are not only ableto solve difficult nonlinear problems but are also able to solve high-order problems directlywithout reducing them into first-order systems.

Text of Note

فاقد چکیده ورد

Variant Title

روش اغتشاش هموتوپی اصلاح شده برای حل مدل عفونت COVID_19 با وجود واکسن و دو داروی مختلف

Subject Term

Fractional system of ordinary differential equations, Homotopy Perturbation method (HPM), Approximation methods, Approximate-analytical methods, Fractional covid- 19 model.

Subject Term

سیستم کسری معادلات دیفرانسیل معمولی روش اغتشاش هموتوپی(HPⅯ)روش های تقریبی، روش های تقریبی⁃ تحلیلی،مدل کسری، ۱۹ⅭOVIⅮ

Entry Element

Mohsin,

Part of Name Other than Entry Element

Mohammed

Relator Code

Producer

Entry Element

Kheiri,

Entry Element

Jawad,

Part of Name Other than Entry Element

Hossein

Part of Name Other than Entry Element

Shireen

Relator Code

Thesis advisor

Relator Code

Consulting advisor

Entry Element

Tabriz

Country

ایران

Agency

Central library of Tabriz University

Call Number

ارشد پایاننامه QA37/2.M6 1401

Electronic name

MohammedMohsin

Contact for access assistance

عبادی

e

TL

276903

a

Y