摘要
在再生核空间中,我们利用初始条件将非线性方程线性化,然后通过求解线性算子方程获得原问题的形式解,在利用其满足方程的条件得到了此类非线性方程的数值解.数值试验验证了该算法的有效性.
In the reproducing kernel space, employing the initial condition, the problem can be converted into a linear equation, and the formal solution of nonlinear equation is given by solving the linear operator equation. So the numerical solution is obtained when the formal solution satisfied the equation. The effectiveness of this algorithm is demonstrated in the computational experiences.
出处
《哈尔滨师范大学自然科学学报》
CAS
2006年第4期1-4,共4页
Natural Science Journal of Harbin Normal University
基金
国家自然科学基金资助项目(60572125)
关键词
非线性
抛物型偏微分方程
再生核
Nonlinear
Parabolic partial differential equation
Reproducing kernel
