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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