Matrix Science Mathematic (MSMK)

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

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

Posted by NJK

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

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