Fredholm integral equation method for the integro-differential Schrödinger equation

Authors:
Ick-Soon Chang;Sheon-Young Kang
Affiliations:
Department of Mathematics, Mokwon University, Daejeon 302-729, Republic of Korea;National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

A new method based on the Clenshaw-Curtis quadrature for the numerical solution of the integro-differential Schrodinger equation is investigated. The method shows that it converges quickly and the truncation errors decrease faster than any power of the inverse number of the Chebyshev support points. Discretization technique is presented in detail. Accompanying C^+^+ code for the Fredholm type method is available upon request.