The Interplay of Numerical and Analytical Solutions of Singular Integral Equations
- 1 July 1972
- journal article
- research article
- Published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology
- Vol. 3 (3) , 291-299
- https://doi.org/10.1080/0020739700030312
Abstract
This paper seeks to throw light on the difficult mathematical processes by which an analytical solution of a singular integral equation is found by investigating the associated numerical procedures. As a preliminary it is necessary to develop a method for the numerical evaluation of principal valued integrals. In the subsequent solution of the singular integral equation, much of the interest arises from the part played by the end points of the range. This problem is considered in some detail.Keywords
This publication has 6 references indexed in Scilit:
- Present Mathematics Syllabuses and the Analytical Solution of Field Problems—Part 1The International Journal of Electrical Engineering & Education, 1970
- An Approach to the Teaching of Ordinary Differential EquationsInternational Journal of Mathematical Education in Science and Technology, 1970
- Calculation of transients on transmission lines with sequential switchingProceedings of the Institution of Electrical Engineers, 1970
- Solution of a singular integral equation over a multiple interval and applications to multiple strips, grids and waveguide diaphragmsElectronics Letters, 1966
- SINGULAR INTEGRAL EQUATIONSPublished by Elsevier ,1957
- The airfoil equation for a double intervalZeitschrift für angewandte Mathematik und Physik, 1951