Regularization of First Kind Integral Equations with Application to Couette Viscometry
Regularization of First Kind Integral Equations with Application to Couette Viscometry
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DOI：
10.1216/jiea/1181075381
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发表时间：
2006-06
影响因子：
0.8
通讯作者：
F. Hoog;R. Anderssen
中科院分区：
文献类型：
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作者：
F. Hoog;R. Anderssen
从Couette流变测量中恢复非牛顿流体的流动曲线涉及到一个非常简单的具有间断核的第一类沃尔泰拉积分方程的求解。本文提出了一种新的正则化实现方法。它涉及到直接正则化的观测方程，通过建设的基础功能，利用数学结构的积分方程。所提出的实施方案是第一次推导出一个一般的第一类积分方程，然后施加到库埃特流变方程。对于这个问题的正则化，基函数采取类似于B样条的形式。
The recovery of flow curves for non-Newtonian fluids from Couette rheometry measurements involves the solution of a quite simple first kind Volterra integral equation with a discontinuous kernel. In this paper, a new implementation of regularization is proposed. It involves the direct regularization of the observational equations through the construction of basis functions that exploit the mathematical structure in the integral equation. The proposed implementation is first derived for a general first kind integral equation and then applied to the Couette rheometer equation. For the regularization of this problem, the basis functions take on a form similar to that for B-splines.