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.