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.
Shawki Ahmad, S. (2006). Expansion Method for Solving Fredholm Integral Equations. Kirkuk Journal of Science, 1(1), 15-25. doi: 10.32894/kujss.2006.46970
MLA
Shazad Shawki Ahmad. "Expansion Method for Solving Fredholm Integral Equations". Kirkuk Journal of Science, 1, 1, 2006, 15-25. doi: 10.32894/kujss.2006.46970
HARVARD
Shawki Ahmad, S. (2006). 'Expansion Method for Solving Fredholm Integral Equations', Kirkuk Journal of Science, 1(1), pp. 15-25. doi: 10.32894/kujss.2006.46970
VANCOUVER
Shawki Ahmad, S. Expansion Method for Solving Fredholm Integral Equations. Kirkuk Journal of Science, 2006; 1(1): 15-25. doi: 10.32894/kujss.2006.46970
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