Fractal Series Solution for Mechanics Problems

This paper presents the fractal series generalized fromTaylor series, Fourier series and the like, and discusses the fractal series solution formechanics problem. InTaylor series, Fourier series and the like, the indexof eachtermand the angular coefficient are all non-nega- tive integral numbers; while in the fractal series, they can be taken as any real numbers or functions of variables. Furthermore, this paper discusses the fractal series solution to the strongly non-linear KdV equation. For the determination of its fractal series, the method of weighted residuals such as LSM can be used.