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has been cited by the following article:

• TITLE: Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel

  AUTHORS: Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

  KEYWORDS: Singular Integral Equation, Linear Volterra-Fredholm Integral Equation, Adomian Decomposition Method, Hilbert Kernel

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.2, June 30, 2016

  ABSTRACT: This paper proposes the combined Laplace-Adomian decomposition method (LADM) for solution two dimensional linear mixed integral equations of type Volterra-Fredholm with Hilbert kernel. Comparison of the obtained results with those obtained by the Toeplitz matrix method (TMM) demonstrates that the proposed technique is powerful and simple.