Multiple solutions of the nonlinear reaction-di usion model with fractional reaction

Theory of Approximation and Applications

مقاله 10، دوره 9، شماره 2، اسفند 2015، صفحه 159-170   

نوع مقاله: Research Articles

نویسندگان

H. Vosoughi¹؛ E. Shivanian^{* 2}؛ M. Anbarloei¹

¹Department of Mathematics, Faculty of Science, Islamshahr Branch, Islamic Azad University, Islamshahr, Tehran, Iran

²Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran

چکیده

The purpose of this letter is to revisit the nonlinear reaction-diusion model
in porous catalysts when reaction term is fractional function of the concen-
tration distribution of the reactant. This model, which originates also in uid
and solute transport in soft tissues and microvessels, has been recently given
analytical solution in terms of Taylors series for dierent family of reaction
terms. We apply the method so-called predictor homotopy analysis method
(PHAM) which has been recently proposed to predict multiplicity of solutions
of nonlinear BVPs. Consequently, it is indicated that the problem for some
values of the parameter admits multiple solutions. Also, error analysis of these
solutions are given graphically.

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