Qom University of TechnologyMathematics and Computational Sciences271727085120240301Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate.11270642110.30511/mcs.2023.1988295.1107ENKehinde AdekunleBashiruDepartment of Statistics, Osun State University, Osogbo, Nigeriahttps://orcid.org/00Mutairu KayodeKolawoleDepartment of Mathematical Sc. Osun State University, OsogboTaiwo AdetolaOjurongbeDepartment of Statistics, Osun State University, NigeriaMutiu LawalOlaosebikanDepartment of Mathematical Sc. Osun State University, NigeriaNureni OlawaleAdeboyeDepartment of Statistics, Osun State University, Osogbo, NigeriaHabeeb AbiodunAfolabiDepartment of Statistics, Osun State University, Osogbo, Nigeria.Journal Article20230124In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equilibrium was carried out to investigate the dynamic behavior of the transmission of the disease in a given population. Sensitivity analysis was also carried out to detect the impact of the parameters of the reproductive number and which parameters should focus as a control intervention. Numerical simulation of the model was carried out and the result is presented graphically, the result shows that an increase in the probability of the sources of protection and sociology factor dictate low disease prevalence in a population.https://mcs.qut.ac.ir/article_706421_250dbf939d0ff6d548d344a9bef76f21.pdfQom University of TechnologyMathematics and Computational Sciences271727085120240301Approximate solutions of Klein-Gordon equation with equal vector and scalar modified Mobius square plus Kratzer potentials with centrifugal term.131970330810.30511/mcs.2023.543989.1055ENChibueze PaulOnyenegechaFaculty of Physical Sciences, Federal University of Technology Owerri, Nigeria0000-0002-7287-4650Francis C EzeFaculty of Physical Sciences, Federal University of Technology Owerri, Nigeria.Journal Article20211130In this study, we present the analytical solutions of Klein-Gordon equation with modified Mobius square plus Kratzer potential. The energy spectrum and wave functions are obtained via the parametric Nikiforov-Uvarov (NU) method by assuming equal scalar and vector potential. The non relativistic limit is obtained and numerical results are presented. In addition, the energy eigenvalues are obtained for special cases of this potential. Our results show that energy decreases with the screening parameter.https://mcs.qut.ac.ir/article_703308_1b924a5a6f8e35663d69dc6db00be009.pdfQom University of TechnologyMathematics and Computational Sciences271727085120240301Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type202971214410.30511/mcs.2024.2007870.1133ENMeisam Noei KhorshidiDepartment of Mathematics, Shahid Beheshti University,G.C., Tehran, Iran.Mohammad Arab FiroozjaeeDepartment of Mathematics, University of Science and Technology of Mazandaran, Behshahr,
Iran0000-0002-3892-6963Journal Article20230726This paper is concerned with a Legendre Ritz-Least squares technique for the non-<br />singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-<br />nique is based on Legendre polynomials and Least squares. The Legendre Ritz-Least squares<br />technique (LRLS) is used to decrease the problem to a set of the algebraic equation system.<br />The efficiency and reliability of the proposed method are shown by some numerical results. All<br />of the numerical implementations have been performed on a PC using some programs written in<br />MATHEMATICA.https://mcs.qut.ac.ir/article_712144_37ba14eb655e8e496501b3daece53fed.pdfQom University of TechnologyMathematics and Computational Sciences271727085120240301$C^{3}$-spline Methods for Solving Fractional Integro-differential Equations304271214510.30511/mcs.2024.2022960.1153ENSheida MohammadizadehDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj 31499-68111Jalil RashidiniaIran University of Science and Technology0000-0002-9177-900xReza Ezzati3Department of Mathematics, Karaj Branch, Islamic Azad University, KarajJournal Article20240213Fractional integro-differential equations (FIDEs) constitute an important mathematical tool in modeling many dynamical processes. To solve FIDEs, several analytical and numerical methods have been proposed, namely those based on symmetry and spline approaches. This paper proposes quartic and sextic C<sup>3</sup>-spline methods for the numerical solution of FIDEs. The convergence analysis of the proposed strategy is examined in detail. Finally, three numerical examples are given to illustrate the numerical accuracy and efficiency of the proposed strategy.https://mcs.qut.ac.ir/article_712145_77f59e5d163525ab039beba91c79cc27.pdfQom University of TechnologyMathematics and Computational Sciences271727085120240301Applying Haar-Sinc Spectral Method for Solving time-fractional Burger Equation435471216510.30511/mcs.2024.2013489.1142ENAli PirkhedriDepartment of Computer Engineering , Islamic Azad University, Marivan
Branch, Marivan, Iran0000-0003-3752-3852Journal Article20231014Haar-Sinc spectral method is used for the numerical approximation of time fractional Burgers’<br />equations with variable and constant coefficients. The main idea in this method is using a linear discretization of time and space by combination of Haar and Sinc functions, respectively. While implementing the method, the operational matrices of the fractional integral of the fractional Haar functions are made, and by using them, an algebraic equation is obtained. Then, using the collocation method, the algebraic equation is converted into a system of equations, and after solving the system with Maple software, the numerical results of the problem is obtained. <br />The accuracy and speed of the proposed algorithm are tested by obtaining L<sup>∞</sup>, L<sup>2</sup> error and the convergence rate.https://mcs.qut.ac.ir/article_712165_279312cf4f314880c3967641316a06ec.pdfQom University of TechnologyMathematics and Computational Sciences271727085120240301Fourth-kind Chebyshev Computational Approach for Integro-Differential Equations556471216610.30511/mcs.2024.2017490.1145ENDidigwu Ndidiamaka EdithDepartment of Industrial Mathematics, Applied Statistics, Enugu State University of Science and Technology, Agbani, Enugu, Nigeria.Taiye OyedepoDepartment of Applied Science, Faculty of Pure and Applied Science,Federal College of Dental Technology and Therapy, Enugu, Nigerian0000-0001-9063-8806Adewale Emmanuel AdenipekunDepartment of Statistics, Federal Polytechnic, Ede, Osun State, Nigeria.Journal Article20231209This study proposes a numerical approach for solving Integro-Differential Equations (IDEs) of the Fredholm and Volterra types. The method utilizes a collocation computational approach with fourth-kind shifted Chebyshev polynomials. By employing this approach, the original IDE problem is transformed into a set of linear algebraic equations, which are subsequently solved using the matrix inversion strategy. The proposed method is applied to three numerical instances, and the obtained results are compared with existing literature solutions. The comparison demonstrates the accuracy and effectiveness of the proposed approach. The study presents the results in tables and figures to provide a clear visual representation of the findings.https://mcs.qut.ac.ir/article_712166_db65398d2a288d261a7964699c6a8fb9.pdf