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Determination of temperature distribution and control parameter in a two-dimensional parabolic inverse problem with overspecified data 下载免费PDF全文
In this paper, we present a new algorithm to solve a two-dimensional parabolic inverse problem with a source parameter, which appears in many physical phenomena. A linearized compact difference scheme for this problem is constructed using the finite difference method. The discretization accuracy is second-order in time and fourth-order in space. We obtain the unique solvability and present an alternating direction implicit algorithm to solve this difference scheme. The results of numerical experiments are presented to demonstrate the accuracy of this algorithm. 相似文献
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用单调迭代的方法和一些新的比较结果,研究了Banach空间中一类事型非线性微分-积分方程的最大最小解,我们用空间E的弱完备性和锥P的正规性(这时可推出P是正则的)来代替紧性条件。 相似文献
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