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Ciarlet, P.G., Schultz, M.H. and Varga, R.S. (1967) Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems. I. One Dimensional Problem. Numerische Mathematik, 9, 394-430.

has been cited by the following article:

• TITLE: On a Problem of an Infinite Plate with a Curvilinear Hole inside the Unit Circle

  AUTHORS: F. S. Bayones, B. M. Alharbi

  KEYWORDS: Complex Variable Method, An Infinite Plate, Curvilinear Hole, Conformal Mapping, Goursat Functions

  JOURNAL NAME: Applied Mathematics, Vol.6 No.1, January 29, 2015

  ABSTRACT: In this work, we used the complex variable methods to derive the Goursat functions for the first and second fundamental problem of an infinite plate with a curvilinear hole C. The hole is mapped in the domain inside a unit circle by means of the rational mapping function. Many special cases are discussed and established of these functions. Also, many applications and examples are considered. The results indicate that the infinite plate with a curvilinear hole inside the unit circle is very pronounced.