成都工业学院学报
成都工業學院學報
성도공업학원학보
Journal of Chengdu Technological University
2015年
2期
58-60
,共3页
陈涛%胡劲松%郑克龙
陳濤%鬍勁鬆%鄭剋龍
진도%호경송%정극룡
Rosenau-Kawahara方程%差分格式%守恒%收敛性%稳定性
Rosenau-Kawahara方程%差分格式%守恆%收斂性%穩定性
Rosenau-Kawahara방정%차분격식%수항%수렴성%은정성
Rosenau-Kawahara equation%difference scheme%conservation%convergence%stability
对Rosenau-Kawahara方程的初边值问题进行了数值研究,提出一个三层线性加权差分格式,格式合理地模拟了问题的2个守恒性质,并利用离散泛函分析方法分析了格式的二阶收敛性与无条件稳定性。数值实验表明:该方法是可靠的,且适当调整加权系数可以大幅提高计算精度。
對Rosenau-Kawahara方程的初邊值問題進行瞭數值研究,提齣一箇三層線性加權差分格式,格式閤理地模擬瞭問題的2箇守恆性質,併利用離散汎函分析方法分析瞭格式的二階收斂性與無條件穩定性。數值實驗錶明:該方法是可靠的,且適噹調整加權繫數可以大幅提高計算精度。
대Rosenau-Kawahara방정적초변치문제진행료수치연구,제출일개삼층선성가권차분격식,격식합리지모의료문제적2개수항성질,병이용리산범함분석방법분석료격식적이계수렴성여무조건은정성。수치실험표명:해방법시가고적,차괄당조정가권계수가이대폭제고계산정도。
In this paper, a finite difference method is presented for the initial value problems of Rosenau-Kawahara Equation.A three level linear conservation finite difference scheme with one weighted coefficient is designed.The scheme has the advantages that it preserves two invariant properties of the original differential equation.It is proved that the finite difference scheme is convergent with second-order and unconditionally stable by discrete functional analysis method.Numerical identification also shows that appropriate adjustments to the one weighted parameter will significantly improve the computational accuracy.