Article ID Journal Published Year Pages File Type
4637484 Applied Mathematics and Computation 2006 14 Pages PDF
Abstract

In this paper, by using the theories and methods of mathematical analysis and computer algebra, a reliable algorithm for solving the second kind of Volterra integral equation is established, and a new Maple procedure voltproc is established, too. In particular, the algorithm can provide the exact solution of the second kind of Volterra integral equation by the methods of Neumann-series and mathematical induction, i.e., the algorithm also can computing the nth term by finite terms of the iterative kernel. Some examples are presented to illustrate the efficiency and accuracy of the algorithm. This will be useful for the integral equation solving and mathematical theorems automatic proving.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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