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The traditional equivalent heat capacity cant be able to calculate the phase change problems,when the equivalent heat capacity jump change in one time step,because the equivalent heat capacity is affected by the phase change heat latent since the phase change process begin or stop in one time step.In order to correct the traditional equivalent heat capacity method and make the method can be used in this case.This paper present a corrected equivalent heat capacity method based on the enthalpy value conservation in time region.The ideal of the corrected method is setting equation based on the enthalpy value conservation obtained by integrating the heat capacity.In this paper,the smoothed particle hydrodynamics method (SPH method) is employed to calculate the diffusion term,the solidification problem of corner domain of infinite plat is a the numerical example.The result of numerical calculation shows that the accuracy of the temperature ofphase change interface has become greaterand the distribution of phase change interface has good accordance with the analytical solutions at different time moments.Besides,the corrected method can be usedon the jumping change of heat capacity.