【摘要】 利用加耗散项的方法,重新构造了解四阶杆振动方程的Albrecht五层显式差分格式,并证明其局部截断误差阶为O(2τ+h2+(τh)2),且是绝对稳定的.进而说明利用这种方法构造的同类格式是唯一的,它就是Albrecht格式.更多还原

【Abstract】 The Albrecht five-layer explicit difference scheme for solving four order rod vibration equation is reconstructed by introducing dissipative term.It is proved that the order of local truncation error is O(τ~2+h~2+(τ[]h)~2),which is absolutely stability.It is shown that the schemes are unique by using this method.更多还原