Title of article :
Multiple solutions of the nonlinear reaction-diffusion model with fractional reaction
Author/Authors :
Vosoughi, H. Department of Mathematics - Faculty of Science - Islamshahr Branch, Islamic Azad University , Shivanian, E. Department of Mathematics - Imam Khomeini International University , Anbarloei, M. Department of Mathematics - Faculty of Science - Islamshahr Branch, Islamic Azad University
Abstract :
The purpose of this letter is to revisit the nonlinear reaction-diffusion model in porous catalysts when reaction term is fractional function of the concentration distribution of the reactant. This model, which originates also in fluid and solute transport in soft tissues and microvessels, has been recently given analytical solution in terms of Taylors series for different 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
Keywords :
Predictor homotopy analysis method , Prescribed parameter , Reaction-diffusion model , multiple solutions
Journal title :
نظريه تقريب و كاربردهاي آن
