Matrix Science Mathematic (MSMK)

WEIGHTED TECHNIQUE FOR FINITE ELEMENT GRADIENT RECOVERY AT BOUNDARY

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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Posted by din

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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Posted by din

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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Posted by din

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

msmk.01.2019.20.24

ABSTRACT

ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM)

Journal: Matrix Science Mathematic (MSMK)
Author: Ihtisham ul Haq

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.01.2019.20.24

In this article, we want to find the analytic approximate solution of nonlinear problems by using Homotopy Perturbation Method. Using the Homotopy Perturbation Method once we express the nonlinear problem into infinite number of sub linear problems and then obtain the solution of linear problems.
Pages 20-24
Year 2019
Issue 1
Volume 3

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Posted by din

msmk.01.2019.17.19

ABSTRACT

COMPARATIVE STUDY OF MATHEMATICAL MODEL OF EBOLA VIRUS DISEASE VIA USING DIFFERENTIAL TRANSFORM METHOD AND VARIATION OF ITERATION METHOD

Journal: Matrix Science Mathematic (MSMK)
Author: Ghazala Nazir, Shaista Gul

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.01.2019.17.19

This study investigates the application of differential transformation method and variational iteration method in finding the approximate solution of Ebola model. Variational iteration method uses the general Lagrange multiplier to construct the correction functional for the problem while differential transformation method uses the transformed function of the original nonlinear system. The result revealed that both methods are in complete agreement, accurate and efficient for solving systems of ODEs.
Pages 17-19
Year 2019
Issue 1
Volume 3

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Posted by din

msmk.01.2019.13.16

ABSTRACT

NUMERICAL SOLUTION OF FRACTIONAL BOUNDARY VALUE PROBLEMS BY USING CHEBYSHEV WAVELET METHOD

Journal: Matrix Science Mathematic (MSMK)
Author: Hassan Khan, Muhammad Arif, Syed Tauseef Mohyud-Din

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.01.2019.13.16

In this paper Chebyshev Wavelets Method (CWM) is applied to obtain the numerical solutions of fractional fourth, sixth and eighth order linear and nonlinear boundary value problems. The solutions of the fractional order problems are shown to be convergent to the integer order solution of that problem. The computational work is done successfully with the help of the proposed algorithm and hence this algorithm can be extended to other physical problems. High level of accuracy is obtained by the present method.
Pages 13-16
Year 2019
Issue 1
Volume 3

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Posted by din

msmk.02.2018.40.49

ABSTRACT

EXTREMAL IOTA ENERGY OF A SUBCLASS OF TRICYCLIC DIGRAPHS AND SIDIGRAPHS

Journal: Matrix Science Mathematic (MSMK)
Author: Fareeha Jamal, Mehtab Khan/span>

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.02.2018.40.49

The iota energy of an n-vertex digraph D is defined by Ec (𝐷) = ∑ 􀀀1 |Im(𝑧 k)|, where z1, . . ., zn are eigenvalues of D and Im(zk) is the imaginary part of eigenvalue zk . The iota energy of an n-vertex sidigraph can be defined analogously. In this paper, we define a class Fn of n-vertex tricyclic digraphs containing five linear subdigraphs such that one of the directed cycles does not share any vertex with the other two directed cycles and the remaining two directed cycles are of same length sharing at least one vertex. We find the digraphs in Fn with minimal and maximal iota energy. We also consider a similar class of tricyclic sidigraphs and find extremal values of iota energy among the sidigraphs in this class.
Pages 40-49
Year 2018
Issue2 2
Volume 2

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Posted by din