International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 775-794
Fast methods for the solution of singular integro-differential and differential equations
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
Received 3 July 1979
Copyright © 1981 L. F. Abd-Elal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Uniform methods based on the use of the Galerkin method and different
Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential
equations of the first order. These methods take a total solution time using expansion functions, and also provide error extimates which are cheap to compute. These methods solve both singular and regular integro-differential equations. The methods are also used in solving differential equations.