T27788
انگلیسی
A New Approximate Series Method for Solving COVID-19 Infection Model With the Existence of Vaccine and Two Different Drugs
Dissertation
MohammedMohsin
Mathematical Sciences
1401
74p.
cd
M.S.
APPLIED MATHEMATICS
1401/07/09
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.
فاقد چکیده ورد
روش اغتشاش هموتوپی اصلاح شده برای حل مدل عفونت COVID_19 با وجود واکسن و دو داروی مختلف
Fractional system of ordinary differential equations, Homotopy Perturbation method (HPM), Approximation methods, Approximate-analytical methods, Fractional covid- 19 model.
سیستم کسری معادلات دیفرانسیل معمولی روش اغتشاش هموتوپی(HPⅯ)روش های تقریبی، روش های تقریبی⁃ تحلیلی،مدل کسری، ۱۹ⅭOVIⅮ
Mohsin,
Mohammed
Producer
Kheiri,
Jawad,
Hossein
Shireen
Thesis advisor
Consulting advisor
Tabriz
ایران
Central library of Tabriz University
ارشد پایاننامه QA37/2.M6 1401
MohammedMohsin
عبادی
e
TL
276903
a
Y
