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Ananthaswamy, V., Ganesan, S., and Rajendran, L., “Approximate analytical solution of non-linear boundary value problem in steady state flow of a liquid film: Homotopy perturbation method,” International Journal of applied sciences and engineering research, vol. 2 (5), pp. 569-578.2013.

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Article

Mathematical Analysis of Information Dissemination Model for Social Networking Services

1Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India

2M. Phil., Mathematics, The Madura College, Madurai, Tamil Nadu, India


American Journal of Modeling and Optimization. 2015, Vol. 3 No. 1, 26-34
DOI: 10.12691/ajmo-3-1-4
Copyright © 2015 Science and Education Publishing

Cite this paper:
V. Ananthaswamy, B. Seethalakshmi. Mathematical Analysis of Information Dissemination Model for Social Networking Services. American Journal of Modeling and Optimization. 2015; 3(1):26-34. doi: 10.12691/ajmo-3-1-4.

Correspondence to: V.  Ananthaswamy, Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India. Email: ananthu9777@rediffmail.com

Abstract

In this paper Homotopy perturbation method (HPM) is implemented to give an approximate analytical solution to the system of non-linear differential equation corresponding to S-SEIR model. The S-SEIR model is constructed for information dissemination characteristics on social network. Our analytical results are compared with the numerical simulation and a satisfactory agreement is noted. The graphical results are shown the effect of information value and user behavior on information dissemination. Using the Homotopy perturbation method we can easily solve other strongly non-linear initial and boundary value problems in engineering and sciences.

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