机构地区: 中国农业大学信息与电气工程学院
出 处: 《计算物理》 2007年第1期54-58,共5页
摘 要: 以Burgers方程为例,结合区间小波精细积分方法,将同伦摄动方法的应用范围推广到多维非线性问题,给出一种求解非线性偏微分方程的新的小波精细积分方法,得到一种近似解析解的数值结果,对时间步长不敏感,更适合于求解非线性问题. Taking the Burgers equation as an example, an interval wavelet precise integration method (PIM) for nonlinear PDEs is proposed. The homotopy perturbation method (HPM) for nonlinear problems is adopted. It extends the application of HPM from one dimension to multidimensions. As an asymptotic analytical method, it is not sensitive to the time step and is suitable for nonlinear equations.