Abstract: Aself-function recursion equation,f_i=b₁f_i+1+b₂f_i+2 can be obtained after theperfect nonlinear funtion,f(t)=A+Be^-k₁l+Ce^-k₂l has been transformed.Through treatingthe self-function recursion equation with the theory of regression analysis, a novel researchmethod for the kinetics of chemical reactions, self-function regression method, has been de-veloped.This method can be applied not only to thermokinetic studies, but also to ultravio-let spectrophotometry for treating kinetics of complex reactions.As a result of treating ther-mogram equation of the first order reaction with Laplace transform, the thermogramequation can be expressed as.Δ=A (e^-k₁l——e^-kt.The rate constant of the first order reaction,k₁, and the cooling constant of thermokinetic system, k, can be obtained at the same timewith the self-function regression method.In order to test the validity of this method, thesaponifications of ethyl acetate and ethyl butyrate have been studied at 25℃ in aqueous solu-tion.The rate constants calculated with this method are in agreement with th0se in litera-tures, and therefore the self-function regression method is correct in deed.

Key words: Self-function regression method, Research method for kinetics of chemical reactions, Thermokinetics of the first order reaction, Saponification