International Journal of Mathematical Research

Published by: PAK Publishing Group
Online ISSN: 2306-2223
Print ISSN: 2311-7427
Total Citation: 29

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On the Numerical Solution of Two Dimensional Schrodinger Equation

Pages: 1-12
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On the Numerical Solution of Two Dimensional Schrodinger Equation

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DOI: 10.18488/journal.24/2017.6.1/24.1.1.12

Murat SUBASI , Seda Igret ARAZ , Hakki GUNGOR

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(2017). On the Numerical Solution of Two Dimensional Schrodinger Equation. International Journal of Mathematical Research, 6(1): 1-12. DOI: 10.18488/journal.24/2017.6.1/24.1.1.12
This paper includes a MAPLE® code giving numerical solution of two dimensional Schrödinger equation in a functional space. The Galerkin method has been used to get the approximate solution. The results have been examined with numerical examples.
Contribution/ Originality
This study is one of very few studies which have investigated to obtain an efficient computation tool for numerical examinations of two dimensional Schrödinger Equation.

On Adomian Polynomials and its Applications to Lane-Emden Type of Equation

Pages: 13-21
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On Adomian Polynomials and its Applications to Lane-Emden Type of Equation

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DOI: 10.18488/journal.24.2017.61.13.21

E. U. Agom , F. O. Ogunfiditimi , P. N. Assi

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(2017). On Adomian Polynomials and its Applications to Lane-Emden Type of Equation. International Journal of Mathematical Research, 6(1): 13-21. DOI: 10.18488/journal.24.2017.61.13.21
In this paper, we generate the Adomian polynomial for major nonlinear terms which are mostly common in differential equations. And we applied it to Lane-Emden type of equations whose nonlinear terms are exponential functions. The result we obtained by modified Adomian decomposition method (ADM) gave a series solution which is the same as the Taylors series of the exact solution.

Contribution/ Originality
This study contributes in the existing literature on the use of Adomian decomposition method. It explicitly provide the Adomian polynomials of frequently occurring nonlinear terms in a linear functional. And, for the first time, applied to obtain an exact solution to the Lane-Emden type of equation.

Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator

Pages: 22-28
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Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator

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DOI: 10.18488/journal.24.2017.61.22.28

Lihong Wang , Fanghong Zhang , Cuncheng Jin

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(2017). Analysis of an Eco-Epidemiological Model with Disease in the Prey and Predator. International Journal of Mathematical Research, 6(1): 22-28. DOI: 10.18488/journal.24.2017.61.22.28
We analyze and formulate an Eco-Epidemiological model with disease in the prey and predator, study the existence of the non-negative equilibria, obtain the sufficient conditions of locally asymptotical stability of the equilibria, then analyze the global stability of the positive equilibria.

Contribution/ Originality
This study contributes in the existing literature of Eco-Epidemiological model. We get the conditions of local asymptotic and the existence of the boundary balance, and we proved the positive balance point is global asymptotical stability by constructing Liapunov function.