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

Abstract

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