摘要
对四阶抛物型方程构造一族新的含参数隐式差分格式.适当选取参数时,可得到一个高精度恒稳格式,其截断误差达到O[(△t)2+(△x)8],数值例子表明该格式是有效的.
For solving four order parabolic equation,a new class of implicit different schemes containing parameters are constructed.When parameters are properly chosen,we obtain an absolutely stable implicit difference scheme of high accuracy.Its truncation error reach (O[(△t)~2+(△x)~8].) A numerical example shows that the scheme is effectives.
出处
《泉州师范学院学报》
2003年第6期6-8,共3页
Journal of Quanzhou Normal University