摘要
建立了解二维抛物型方程的一族含参数的绝对稳定的高精度的差分格式，进而，在特殊情况（θ＝０，ｒ＝１６）下，得到显式差分格式ωｎ＋１＝（１＋１３６＋１９◇）ωｎ．这些格式对任意选取的参数θ≤１／６都是绝对稳定的，且当０≤θ≤ｍｉｎ（１６，１２－１１２ｒ）时，其收敛阶为Ｏ（（Δｔ）２）
A family of absolutely stable and high accurate difference schemes containing parameter are set up for solv ing two dimensional equations of parabolic type. And then, an explicit difference scheme (17) is obtained under the special condition of θ =0, r =1/6. All these schemes are absolutely stable for the arbitrarily chosen parameters θ ≤1/6, and their convergence order equals to O ((Δ t ) 2) in case 0≤ θ ≤min (1/6,1/2-1/12 r ).
出处
《华侨大学学报（自然科学版）》
CAS
1999年第1期18-24,共7页
Journal of Huaqiao University(Natural Science)
基金
福建省自然科学基金
关键词
抛物型方程
差分格式
精度
绝对稳定
解
two dimensional equations of parabolic type, difference scheme, high accuracy, absolutely stable
