International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 17, Pages 1093-1100
doi:10.1155/S0161171203007488
Dual integral equations -- revisited
Sudeshna Banerjea1
and C.C. Kar2
1Department of Applied Mathematics, University of Calcutta, 92 APC Road, Calcutta 700009, India
2Mathurapur High School, 24 Parganas, Mathurapur, West Bengal, India
Abstract
Dual integral equations with trigonometric kernel are reinvestigated here for a solution. The behaviour of one of the integrals at the end points of the interval complementary to the one in which it is defined plays the key role in determining the solution of the dual integral equations. The solution of the dual integral equations is then applied to find an exact solution of the water wave scattering problems.