In this paper the Gilmore’s equation for the fluid compressibility is employedas the mathematical model for bubble wall motion

and Gill’s method is also used tocompile the programs to solve initial value problems of nonlinear differential equations.A number of examples for harmonic or exponential pressure changing field show that thenoulinear oscillation is strong in a high pressure changing field ; the bubble wall oscillat-ing amplitude is concerned with varying amplitude

frequency and width of exponentialpulse of pressure field.