Mixed Type of Integral Equation with Potential Kernel

Authors : Mohamed Abdella Ahmed ABDOU

Pages : 83-101

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper presents the solution of an integral equation of a mixed type in three-dimensions in the space L2 insert ignore into journalissuearticles values(W); \times C[0,T], where T < \infty, and W is the domain of integration with respect to position. The kernel of position integral term is considered in the potential function form, while the kernel of time is considered as a continuous kernel. A linear system of Fredholm integral equations of the first and second kinds are obtained and solved. Krein`s method is used to solve the Fredholm integral equation of the first kind, while the second kind is solved numerically.
Keywords : Fredholm integral equations, Potential kernel, Legendre and Jacobi polynomials, Weber Sonien integral