Contents V.6, N.1, 2015

  • Numerical Solution of the System of Linear Fredholm Integral Equations Based on Degenerating Kernels
    S. Karimi, M. Jozi (pp. 111-119)

    • Abstract.

    In this paper, a new numerical method is proposed for solving system of linear Fredholm integral equations of the second kind. This method is based on Taylor-series expansion which degenerates kernels and reduces the system of integral equations to a block algebraic linear system. Convergence analysis is investigated and test problems are given to illustrate the robustness and efficiency of the new method.

    Keywords:

    systems of Fredholm integral equations, degenerate kernel, Taylor-series expansion, block algebraic system, Banach space.

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