绵阳师范学院学报
綿暘師範學院學報
면양사범학원학보
JOURNAL OF MIANYANG NORMAL UNIVERSITY
2012年
5期
13-17
,共5页
随机Kuramoto-Sivashinsky方程%有限元%Karhunen-Loeve分解
隨機Kuramoto-Sivashinsky方程%有限元%Karhunen-Loeve分解
수궤Kuramoto-Sivashinsky방정%유한원%Karhunen-Loeve분해
Stochastic Kuramoto -Sivashinsky equation%finite element method%Karhunen -Loevede composition
通过Karhunen-Loeve展式将随机Kuramoto-Sinvashinsky方程转化为确定型方程,分别利用差分和有限元对时间和空间进行离散,证明了解的存在唯一性和逼近性.
通過Karhunen-Loeve展式將隨機Kuramoto-Sinvashinsky方程轉化為確定型方程,分彆利用差分和有限元對時間和空間進行離散,證明瞭解的存在唯一性和逼近性.
통과Karhunen-Loeve전식장수궤Kuramoto-Sinvashinsky방정전화위학정형방정,분별이용차분화유한원대시간화공간진행리산,증명료해적존재유일성화핍근성.
In this paper, the existence, uniqueness and approximation of the solutions to the stochastic Kuramoto -Sinvashinsky equation are proved, by being transformed into a deterministic equation through the KarhunenLoeve expansion, and dispersing time and space with difference and definite elements respectively.