Matrix Science Mathematic (MSMK)

RIGHT PURE UNI-SOFT IDEALS OF ORDERED SEMIGROUPS

msmk.01.2020.14.19

ABSTRACT

RIGHT PURE UNI-SOFT IDEALS OF ORDERED SEMIGROUPS

Journal: Matrix Science Mathematic (MSMK)
Author: Raees Khan, Asghar Khan, M. Uzair Khan, Hidayat Ullah Khan

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2020.14.19

In this paper, we initiate the study of pure uni-soft ideals in ordered semigroups. The soft version of right pure ideals in ordered semigroups is considered which is an extension of the concept of right pure ideal in ordered semigroups. We also give the main result for right pure uni-soft ideals in ordered semigroups and characterize right weakly regular ordered semigroups in terms of right pure uni-soft ideals.
Pages 14-19
Year 2020
Issue 1
Volume 4

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msmk.01.2020.10.13

ABSTRACT

ANALYTICAL APPROXIMATION FOR THE NONLINEAR DYNAMICS OF ERK ACTIVATION IN THE PRESENCE OF COMPETITIVE INHIBITOR

Journal: Matrix Science Mathematic (MSMK)
Author: Yudi Ari Adi, M. Irawan Jayadi, Agung Budiantoro

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2020.10.13

The extracellular signal-regulated protein kinase (ERK), a subfamily of Mitogen-Activated Protein Kinase (MAPK) pathways, is one of the most important signals in the regulation of many biological processes. Deregulated of MAPK signaling pathways has been observed in human cancers with potential involvement in most of all cellular processes leading to tumorigenesis so that it became a potential target for therapy in cancer patients. In this paper, we discuss a Mathematical model of ERK activation in the presence of a small molecule inhibitor that competes with RAS. We present analytical expressions for the concentration of RAS, complex RAS-ERK, complex RAS-Inhibitor, and activated ERK in terms of dimensionless parameters using He’s Homotopy Perturbation Method (HPM). The analytical results are compared with numerical simulation and satisfactory agreement is obtained.
Pages 10-13
Year 2020
Issue 1
Volume 4

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msmk.01.2020.06.09

ABSTRACT

ON NEW WAYS OF VARIOUS IDEALS IN TERNARY SEMIGROUPS

Journal: Matrix Science Mathematic (MSMK)
Author: M. Palanikumar, K. Arulmozhi

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2020.06.09

We discuss tri-quasi ideals and bi-quasi ideals in ternary semigroups and give some characterizations. The intersection of left, lateral and right ideals is a tri-ideal and product of left, lateral and right ideals is again a tri-ideal. We also discuss m-tri-ideals towards some characterizations in terms of tri-ideals. Some relevant counter examples are also indicated.
Pages 06-09
Year 2020
Issue 1
Volume 4

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msmk.01.2020.01.05

ABSTRACT

ANALYTIC APPROXIMATE SOLUTION OF RABIES TRANSMISSION DYNAMICS USING HOMOTOPY PERTURBATION METHOD

Journal: Matrix Science Mathematic (MSMK)
Author: Muhammad Sinan

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2020.01.05

In this paper, we consider a mathematical model of Rabies disease which is an infectious disease. The model we are considering is a system of nonlinear ordinary differential equations and it is difficult to find an exact solution. He’s Homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differential equations. The findings obtained by HPM are compared with a nonstandard finite difference (NSFD) and Runge-Kutta fourth order (RK4) methods. Some plots are presented to show the reliability and simplicity of the method.
Pages 1-5
Year 2020
Issue 1
Volume 4

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msmk.02.2019.27.31

ABSTRACT

WEIGHTED TECHNIQUE FOR FINITE ELEMENT GRADIENT RECOVERY AT BOUNDARY

Journal: Matrix Science Mathematic (MSMK)
Author: Y. Kashwaa, A. Elsaid, M. El-Agamy

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.27.31

In this paper, an improved technique is presented to recover the fi- nite element gradient at boundaries. The proposed technique begins by evaluating the recovered gradient at the interior nodes using polynomial preserving recovery technique. Then we propose formula for weights to the recovered gradient at the interior nodes attached to boundary nodes. The sum of these weighted recovered gradients is utilized as an approxi- mation for the gradient at the attached boundary node. The validity of the proposed technique is illustrated by some two-dimensional numerical examples.
Pages 27-31
Year 2019
Issue 2
Volume 3

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Posted by Nurul

msmk.02.2019.22.26

ABSTRACT

ANALYSIS OF MATHEMATICAL MODELING THE DEPLETION OF FORESTRY RESOURCE: EFFECTS OF POPULATION AND INDUSTRIALIZATION

Journal: Matrix Science Mathematic (MSMK)
Author: A. Eswari, S. Saravana kumar, S. Varadha Raj, V. Sabari Priya

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.22.26

This paper is attempted to study the system of nonlinear differential equations in assessing the depletion of forest resource with population density and industrialization. It is evidenced that the forest resources are depleted with increase of population and industrialization. The asymptotic method of differential equations and numerical simulation are used to analyze this model. These analytical results are confirmed by using numerical simulation. Further, the graph of proposed model is compared with the real life data of the forestry resources, population density and industrialization in Tamil Nadu.
Pages 22-26
Year 2019
Issue 2
Volume 3

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Posted by NJK

msmk.02.2019.17.21

ABSTRACT

FINITE ELEMENT METHOD FOR SOLVING NONLINEAR RANDOM ORDINARY DIFFERENTIAL EQUATIONS

Journal: Matrix Science Mathematic (MSMK)
Author: Ibrahim Elkott, Ibrahim.L. El-Kalla, Ahmed Elsaid, Reda Abdo

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.17.21

In this paper we utilize the finite element method for solving random nonlinear differential equations. In the proposed technique, the nodal coefficients are formulated as functions of the random variable. At certain values of random variable, curve fitting is used to construct the approximate nodal solution. Several numerical examples are presented, and the approximate mean solutions are compared with the exact mean solution to illustrate the ability and effectiveness of this method.
Pages 17-21
Year 2019
Issue 2
Volume 3

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msmk.02.2019.11.16

ABSTRACT

LAPLACE ADOMIAN DECOMPOSITION METHOD FOR SOLVING A MODEL OF CHRONIC MYELOGENOUS LEUKEMIA (CML) AND T CELL ASSOCIATION

Journal: Matrix Science Mathematic (MSMK)
Author: Faiz Alam

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.11.16

In this article, it is our purpose that we examine as well as analyze Chronic Myelogenous Leukemia (CML) a mathematical model, a white blood cells cancer. This model shows the association between naive T cells, effector T cells and CML cancer cells in the body, using a system of differential equations which give the rate of change of these three-cell population. We implement a Laplace Adomian Decomposition Method to compute an approximate solution of the considered model. We try to obtain analytic solution for CML model in the form of series that rapidly converges. Further, we also provide some result and stability of the propose model.
Pages 11-16
Year 2019
Issue 2
Volume 3

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msmk.02.2019.08.10

ABSTRACT

ON THE MATLAB TECHNIQUE BY USING LAPLACE TRANSFORM FOR SOLVING SECOND ORDER ODE WITH INITIAL CONDITIONS EXACTLY

Journal: Matrix Science Mathematic (MSMK)
Author: Bawar Mohammed Faraj and Faraedoon Waly Ahmed

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.08.10

In this paper Matlab technique has been presented that is approach to exact solution for second order ODE with constant coefficients and initial condition by using Laplace transformation. Matlab function has been constructed to estimate and compute exact solution of second order ordinary differential equations with initial conditions generally, the results of the program shows the elapsed time, exact solution and it’s figures.
Pages 8-10
Year 2019
Issue 2
Volume 3

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msmk.02.2019.01.07

ABSTRACT

ANALYTICAL APPROXIMATE SOLUTION OF HEAT CONDUCTION EQUATION USING NEW HOMOTOPY PERTURBATION METHOD

Journal: Matrix Science Mathematic (MSMK)
Author: Neelam Gupta, Neel Kanth

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.01.07

In this paper, the analytic solution of one-dimensional heat conduction equation is obtained by means of new homotopy perturbation method. This method is effectively applied to obtain the exact solution for the problems on hand. Some problems related to one dimensional heat equation have been discussed, which reveals the effectiveness and simplicity of the method. Numerical results have also been analysed graphically to show the rapid convergence of infinite series expansion.
Pages 1-7
Year 2019
Issue 2
Volume 3

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Posted by NJK