Multiple solutions of the nonlinear reaction-di usion model with fractional reaction
محورهای موضوعی : Applied MathematicsH. Vosoughi 1 , E. Shivanian 2 , M. Anbarloei 3
1 - Department of Mathematics, Faculty of Science, Islamshahr Branch,
Islamic Azad University, Islamshahr, Tehran, Iran
2 - Department of Mathematics, Imam Khomeini International University,
Qazvin, 34149-16818, Iran
3 - Department of Mathematics, Faculty of Science, Islamshahr Branch,
Islamic Azad University, Islamshahr, Tehran, Iran
کلید واژه: Predictor homotopy analysis method, Prescribed parameter, Reaction-di usion model, multiple solutions,
چکیده مقاله :
The purpose of this letter is to revisit the nonlinear reaction-di usion modelin porous catalysts when reaction term is fractional function of the concen-tration distribution of the reactant. This model, which originates also in uidand solute transport in soft tissues and microvessels, has been recently givenanalytical solution in terms of Taylors series for di erent family of reactionterms. We apply the method so-called predictor homotopy analysis method(PHAM) which has been recently proposed to predict multiplicity of solutionsof nonlinear BVPs. Consequently, it is indicated that the problem for somevalues of the parameter admits multiple solutions. Also, error analysis of thesesolutions are given graphically.
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