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Jafari, H., Tayyebi, E., Sadeghi, S. and Khalique, C.M. (2014) A New Modification of the Adomian Decomposition Method for Nonlinear Integral Equations. International Journal of Advances in Applied Mathematics and Mechanics, 1, 33-39.
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.