Qom University of TechnologyMathematics and Computational Sciences2717-27082420211201A numerical approach to solve the stochastic Allen-Cahn equation of fractional order11024769410.30511/mcs.2021.539623.1041ENAfshinBabaeiFaculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.0000-0002-6980-9786SeddighehBanihashemiFaculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Journal Article20210924In this paper, we employ a collocation method based on Legendre polynomials (LPs) to solve the time-fractional stochastic Allen-Cahn equation. This method is applied to convert the solution of this stochastic equation to the solution of a nonlinear system of algebraic equations. The numerical approach is completely described. Finally, a test example is implemented to validate the robustness of the proposed scheme.http://mcs.qut.ac.ir/article_247694_b4f20000841e1a92ff6f82666fe26b07.pdfQom University of TechnologyMathematics and Computational Sciences2717-27082420211201A method on generation of finite level(s) in real and complex systems112324689810.30511/mcs.2021.538142.1036ENBiswanathRathDepartment of Physics, Maharaja Sriram Chandra Bhanj Deo University, Takatpur, Baripada 757003, Odisha, India0000-0001-7512-1702Mohammed K. A.KaabarInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia0000-0003-2260-0341Journal Article20210903The Rath's mannequin approximation is generalized in this work to generate finite strength level(s) quantum structures in Hermitian and non-Hermitian quantum systems. On one hand, in Hermitian systems, an extensive variety of bounded single properly,triple nicely, and pentic proper systems is utilized. On the other hand, isospectral Hermitian structures are considered. Further mannequin is extended to PT-symmetric structures involving an isospectral condition.http://mcs.qut.ac.ir/article_246898_22cac51941769c0c6088c4b7e38d2454.pdfQom University of TechnologyMathematics and Computational Sciences2717-27082420211201Mathematical modeling and vaccination acceptability analysis of COVID-19 in Nigeria2440247010DOI:10.30511/mcs.2021.539934.1042ENGamboAdamuDepartment of mathematics, University of Ilorin, Nigeria0000-0002-8198-3568Mohammed OlarenwajuIbrahimDepartment of Mathematics, University of Ilorin, NigeriaCatherine NgoziEjiejiDepartment of Mathematics, University of Ilorin, NigeriaHussaini BazataYusufDepartment of Mathematics, Nigerian Army University Biu, NigeriaJournal Article20210928Abstract: The novel coronavirus 2019 known as (COVID-19) pandemic caused by SARS-CoV-2 occurred in Wuhan town of China in 2019. The virus has rapidly spread all over the world and has continued to affect the public well-being. This paper focuses on a mathematical model with vaccination acceptability of COVID-19 with which to examine to what extent the vaccine would be accepted in Nigeria. Specifically, the paper introduces a compartmental model to measure the potential impact of the COVID-19 vaccine. The vaccination acceptability model results show that up to 80% of the Nigerian populace accepted the vaccination campaign, despite the gabs on the COVID-19 vaccine by some health workers and the communities in Nigeria. It also shows that 90% vaccinated susceptible plus 50% effectiveness of face-mask use has brought about a decrease of the pandemic while mortality rate has decreased drastically which shows that the vaccine is effective. The result also reveals that the recovered individuals from COVID-19 have increased in alignment and, the vaccine has a significant impact on the populace. Finally, possible extensions of the model as well as open challenges associated with the formulation and analysis of COVID-19 dynamics will be addressed.http://mcs.qut.ac.ir/article_247010_2a998b4ba96371808669613cf39835b8.pdfQom University of TechnologyMathematics and Computational Sciences2717-27082420211201Application of Chebyshev polynomial basis function on the solution of Volterra integro-differential equations using Galerkin method415124730110.30511/mcs.2021.540133.1047ENAjimot FolasadeAdebisiOsun State University, Osogbo, Nigeria.Taiwo AdetolaOjurongbeOsun State University, Osogbo, Nigeria.Kazeem AdekunleOkunlolaOsun State University, Osogbo, Nigeria.Olumuyiwa JamesPeterUniversity of Ilorin Nigeria0000-0001-9448-1164Journal Article20211023In this paper, the Galerkin Method (GM) is employed for finding the solution of Volterra integro-differential equations with the aid of Chebyshev polynomial basis function. Some examples are presented to demonstrate the effectiveness of the method and its reliability. The approximate solutions are in agreement with the exact solutions and are compared favorably with an existing method available in the literature.http://mcs.qut.ac.ir/article_247301_f3aea65aa5909218b8be006342639c5b.pdfQom University of TechnologyMathematics and Computational Sciences2717-27082420211201Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces525924723510.30511/mcs.2021.539285.1039ENLotfollahKarimiDepartment of Basic Science, Hamedan University of Technology, Hamedan, Iran.Journal Article20210919A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if <br />$$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ <br />In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward) weighted shift operator is given. Also, we present some examples of convex operators such that it's adjoint is hypercyclic. Finally, the spectrum of convex multiplication operators is obtained and an example of convex, multiplication operators is given such that it's adjoint is hypercyclic.http://mcs.qut.ac.ir/article_247235_f3a2809ba19f34d48dbc5b1421532f4f.pdfQom University of TechnologyMathematics and Computational Sciences2717-27082420211201An evaluation for meaning in life by DEMATEL method606724669910.30511/mcs.2021.539199.1037ENKheirolahRahsepar FardDepartment of Computer Engineering and Information Technology, University of Qom, Qom, IranTaherehJeiraniMSC degree in Positive PsychologyJournal Article20210917In this paper, we consider the seven major sources of the importance of meaning and<br />purpose in life proposed on the world, namely; cross-culturally, including achievement, acceptance, relationship, intimacy, religion, self-trancedence, and fairness. Here, the effect of seven major resources on each other is measured using the opinion of experts for adolescent girls in brilliant talent high schools in Qom. In this research measures of influence effect and effect on life is expected. By applying the DEMATEL method its concluded that factors of meaning and purpose in life are ordered. Finally, strategies for brilliant talent high schools are presented.http://mcs.qut.ac.ir/article_246699_132a663ac3ab54711846dcb99126edda.pdf