Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert KernelReportar como inadecuado




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Thispaper proposes the combined Laplace-Adomian decomposition method LADM forsolution two dimensional linear mixed integral equations of type Volterra-Fredholmwith Hilbert kernel. Comparison of the obtained results with those obtained bythe Toeplitz matrix method TMM demonstrates that the proposed technique ispowerful and simple.

KEYWORDS

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

Cite this paper

Hendi, F. and Al-Qarni, M. 2016 Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel. American Journal of Computational Mathematics, 6, 177-183. doi: 10.4236-ajcm.2016.62019.





Autor: Fatheah Ahmed Hendi1, Manal Mohamed Al-Qarni2

Fuente: http://www.scirp.org/



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