International Journal of Chemical Reactor Engineering · 2010 · 38 citations · 0 references
Natural SciencesChemical EngineeringChemistryDifferential EquationsPhysical ChemistryReaction EngineeringApproximation MethodsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsPerturbation MethodsConcentrationDifferential Equation SolversFractional Differential EquationsPartial Differential Equation SolversPerturbation Of Nonlinear Differential EquationsVariational Methods In Partial Differential Equations
In this paper, we present the approximate solutions of the time fractional chemical engineering equations by means of the variational iteration method (VIM) and homotopy perturbation method (HPM). The fractional derivatives are described in the Caputo sense. The solutions of the chemical reactor, reaction, and concentration equations are calculated in the form of convergent series with easily computable components. We compared the HPM against the VIM; an additional comparison will be made against the conventional numerical method. The results show that HPM is more promising, convenient, and efficient than VIM.