Abstract
Based on Tikhonov’s regularization method, this paper applies two fast convergent algorithms developed by the authors to solving 2D integral equations of the first kind. The procedures of discretization and regularization are discussed. The numerical tests are presented to show high efficiency and numerical stability. The integral equations of the first kind can be seen in determination of capillary pressure functions.
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© 2000 Springer-Verlag Berlin Heidelberg
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Wang, YF., Xiao, TY. (2000). Fast Convergent Algorithms for Solving 2D Integral Equations of the First Kind. In: Chen, Z., Ewing, R.E., Shi, ZC. (eds) Numerical Treatment of Multiphase Flows in Porous Media. Lecture Notes in Physics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45467-5_28
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DOI: https://doi.org/10.1007/3-540-45467-5_28
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