Journal
APPLIED MATHEMATICS LETTERS
Volume 25, Issue 8, Pages 1131-1134Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2012.02.019
Keywords
Taylor expansion method; epsilon-approximate solution; Exact solution; Polynomial
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Funding
- Scientific Research Foundation of Harbin Institute of Technology at Weihai [HIT.NSRIF.2011102, HIT.NSRIF.2011103]
- Shandong Province Natural Science Foundation [IMEQ03140001]
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In this work, a method called the Taylor expansion method is used to solve a mixed linear Volterra-Fredholm integral equation of the second kind. A Strict theory is established. The advantages of this method lie in that, on the one hand, the exact solution is obtained if the true solution is a polynomial, and on the other hand, if the true solution is not a polynomial, an approximate solution with high accuracy called an e-approximate solution will be obtained by taking several terms. In short, our method is fast and efficient. (C) 2012 Elsevier Ltd. All rights reserved.
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