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Expansion Method for Solving Fredholm Integral Equations | ||
| Kirkuk Journal of Science | ||
| Article 1, Volume 1, Issue 1, 2006, Pages 15-25 PDF (0 K) | ||
| DOI: 10.32894/kujss.2006.46970 | ||
| Author | ||
| Shazad Shawki Ahmad | ||
| Abstract | ||
| In this paper a new method for solving the integral equation in space-time which arises in mathematical physics, mechanics and the heat conduction theory is presented. The central idea is: First, differentiating both sides of two-dimensions Fredholm integral Equations n-times with respect to both variables x and t, second, substituting the Taylor series of two variables for the unknown function, and third, obtain a system of linear equations which can be solved by a suitable truncation scheme .Lastly,the double-quadrature rules are used to calculate the required integrals in this procedure. The presented algorithm is illustrated by some numerical examples with comparison tables. | ||
| Keywords | ||
| expansion; method; Solving; Fredholm; Integral; Equations | ||
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