Some oscillation criteria for a class of nonlinear partial difference equations with variable coefficients are obtained . some linearized oscillation theorems for these equations are established 摘要獲得了具有變系數(shù)的時(shí)滯偏差分方程的振動(dòng)性準(zhǔn)則,建立了幾個(gè)線性化振動(dòng)性定理。
Based on a duralumin flexible beam with piezoelectric films attached , distributed parameter modal described by partial difference equations is builded , and then turned into a set of two order systems with the method of modal analyse . state feedback control and independent modal control is investigated . and simulation of the closed - loop system with thest two methods is performed in matlab 并用模態(tài)分析的方法,將系統(tǒng)的偏微分方程模型轉(zhuǎn)化成了模態(tài)模型;研究了狀態(tài)反饋和獨(dú)立模態(tài)方法;進(jìn)一步完善了軟件界面以及軟件功能;在實(shí)際系統(tǒng)中,應(yīng)用狀態(tài)反饋算法,有效抑制了懸臂梁在受到外界瞬時(shí)脈沖擾動(dòng)和激振引起的一階、二階模態(tài)振動(dòng)。
Hence this method can improve accuracy and efficiency of the calculation . c . based on these work upwards , an adaptively wavelet precise time - invariant integration method was proposed in this paper . in this method , an adaptive multilevel interpolation wavelet collocation method for partial difference equations ( pdes ) was conducted , in which the time complexity is less than oleg v ' s method , and then the adaptive precise integration method was combined with , so that in this method the adaptively discretes both in time domain and physical domain were realized 該方法將外推法引入求解結(jié)構(gòu)動(dòng)力方程的精細(xì)時(shí)程積分法中,從而使該方法在求解非線性動(dòng)力方程中可以自適應(yīng)選取時(shí)間步長(zhǎng);需要指出的是,由于考慮了矩陣指數(shù)精細(xì)算法和外推法算法在時(shí)間離散方法上的一致性,在外推過(guò)程中,計(jì)算工作量基本沒(méi)有增加;因此,兩種方法的結(jié)合有效提高了算法的效率和精度。
The aim of this study is to develop a wavelet stochastic finite element method to be applied in solving partial difference equations . this work includes 5 sections as follows : a . the properties of quasi shannon wavelet was studied in this paper , and a wavelet collocation method for partial differential equations was conducted 該工作主要由以下五部分構(gòu)成:第一、研究了擬shannon小波的性質(zhì),構(gòu)造了求解偏微分方程的擬shannon小波配置法,同時(shí)將外推法引入小波配置法,進(jìn)一步改善了該方法的計(jì)算效率和計(jì)算精度。