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Numerical investigation for the nonlinear model of hepatitis-B virus with the existence of optimal solution

dc.contributor.authorShahid, Naveed
dc.contributor.authorRehman, Muhammad Aziz-ur
dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-08-23T08:01:43Z
dc.date.available2022-08-23T08:01:43Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the recent article, a reaction-advection-diffusion model of the hepatitis-B virus (HBV) is studied. Existence and uniqueness of the optimal solution for the proposed model in function spaces is analyzed. The advection and diffusion terms make the model more generic than the simple model. So, the numerical investigation plays a vital role to understand the behavior of the solutions. To find the existence and uniqueness of the optimal solutions, a closed and convex subset (closed ball) of the Banach space is considered. The explicit estimates regarding the solution of the system for the admissible auxiliary data is computed. On the other hand, for the numerical approximation of the solution, an elegant numerical technique is devised to find the approximate solutions. After constructing the discrete model, some fundamental properties must necessarily be possessed by the proposed numerical scheme. For instance, consistency, stability, and positivity of the solutions. These properties are carefully studied in the current article. To prove the positivity of the proposed scheme, M-matrix theory is used. All the above mentioned properties are verified by sketching the graph via simulations. Furthermore, these plots are helpful to understand the true behavior of the solutions. For this purpose, a fruitful discussion is included about the simulations to justify our results.en_US
dc.description.publishedMonth7
dc.identifier.citationShahid, Naveed...et al. (2021). "Numerical investigation for the nonlinear model of hepatitis-B virus with the existence of optimal solution". AIMS MATHEMATICS. Vol: 6, No: 8, pp. 8294-8314.en_US
dc.identifier.doi10.3934/math.2021480
dc.identifier.endpage8314en_US
dc.identifier.issn2473-6988
dc.identifier.issue8en_US
dc.identifier.startpage8294en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5746
dc.identifier.volume6en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS MATHEMATICSen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectreaction; advection; diffusion; optimal solution; explicit estimates; auxiliary data; structure preservingen_US
dc.titleNumerical investigation for the nonlinear model of hepatitis-B virus with the existence of optimal solutiontr_TR
dc.titleNumerical Investigation for the Nonlinear Model of Hepatitis-B Virus With the Existence of Optimal Solutionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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