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