A new longtermeffective HPD method in short named HHPDCS is devised to solve nonhomogeneous linear autonomy system based on Chebyshev orthogonal polynomials series of the second kind and homogenized integration technique.The algorithm can avoid inversing matrixes from which HPDF suffers and conquer the restriction that stimulus must be periodic,from which HHPDF suffers,so the method can be used for any kind of right stimulus.The results of the two examples discussed show that the longtermeffective HHPDCS is more effective.In addition,HHPDCS has several other advantages,such as simpler in designing and computational format,more precise,easier to be generalized and implemented etc.