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Ding-hua Xu 《上海大学学报(英文版)》2000,4(4):284-287
This paper deals with a parabolic system in a multi-dimentional bounded domain Ω⊂R
n with the smooth boundary δΩ. We discuss an inverse parabolic problem of determining the indirectly measurable internal heat distribution at any intermediate
moment from the heat distribution measurements in arbitrary accessible subdomain ω⊂Ω at some time-interval. Our main result is the Holder stability estimate in the inverse problem and the proof is completed
with a Carleman estimate and a eigenfunction expansion for parabolic equations.
Supported by the Natural Science Foundation of Jiangxi Province Government (981102) and the Natural Science Foundation of
Shanghai Municipal Commission (99ZA14030) 相似文献
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周香英 《赣南师范学院学报》2006,27(6):19-23
研究随机利率满足C-I-R模型时其衍生产品的价格所满足的边值问题．利用极值原理、闸函数、Schauder内估计和抛物正则化的方法,证明了此半无界问题解的存在性、唯一性． 相似文献
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将改进的变分迭代法的应用范围加以推广,使其应用于多维抛物型方程反问题中.它通过Lagrange乘子进行简便计算求得未知参量的精确值,再应用于多维抛物型方程反问题中,可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.同时,通过与Adomian's分裂法结果比较可知前者比分裂法更好. 相似文献
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INC Mustafa 《浙江大学学报(A卷英文版)》2005,6(10):1058-1064
INTRODUCTION The decomposition method was introduced by Adomian(1989;1994)in the1980’s for solving linear and nonlinear functional equations(algebraic,dif-ferential,partial differential equations(PDEs)and systems,integral,differential-delay,integro-differen-tial equations,etc.)(Adomian,1989;1994;Guellal and Cherruault,1995;Adomian et al.,1996;Laffez and Abbaoui,1996;Ndour et al.,1996;Guellal et al.,1997;Abbaoui and Cherruault,1999;Adjedj,1999).This method leads to computable,accurat… 相似文献
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An inverse method for online stress monitoring and fatigue life analysis of boiler drums 总被引：1，自引：0，他引：1
A method based on solution of the inverse heat conduction problem was presented for online stress monitoring and fatigue life analysis of boiler drums. The mathematical model of the drum temperature distribution is based on the assumptions that the difference of temperature along the longitudinal axis of the boiler drum is negligible with changes only in the radial direction and the circumferential direction, and that the outer surface of drum is thermaUy insulated. Combining this model with the control-volume method provides temperatures at different points on a cross-section of the drum. With the temperature data, the stresses and the life expectancy of the boiler drum are derived according to the ASME code. Applying this method to the cold start-up process of a 300 MW boiler demonstrated the absence of errors caused by the boundary condition assumptions on the inner surface of the drum and testified that the method is an applicable technique for the online stress monitoring and fatigue life analysis of boiler drums. 相似文献
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研究了具齐次Neumann边界条件的非线性抛物积微分系统的精确零能控.首先建立对偶的线性化系统Carleman型估计;由此得到线性化系统的能控性;最后根据Kakutanis’s不动点定理证明非线性问题的零能控. 相似文献
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考虑了一维抛物型方程的定解问题.问题是不适定性的,即g(t)微小扰动会引起解的很大误差.本文给出了利用Meyer小波的尺度函数在频域中形式作为窗函数来滤除g(t)的高频成分来正则化问题并给出了误差估计,与已有方法进行了比较和讨论. 相似文献
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变分迭代法已被应用于求解一类含有未知参数线性抛物型方程的反问题中,它通过Lagrange乘子求得未知参量的精确值.变分迭代法可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.为了说明该方法的有效性,给出了两个实例. 相似文献
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针对描述木材干燥过程中的一个非线性微分方程模型,用降阶法对其建立了一个差分格式.此模型是由一个非线性常微分方程和一个非线性抛物方程组成的耦合微分方程组.首先引进一个新变量把原问题转化为一阶微分方程组问题,然后对此一阶微分方程组建立了一个线性化差分格式,应用能量方法证明了差分格式的可解性、稳定性和收敛性,并给出了误差估计式.差分格式关于时间步长和空间步长均为二阶.在实际计算时,将引入的新变量分离开,得到仅含原变量的差分格式,降低了计算量.数值计算结果验证了理论结果的可靠性. 相似文献