Author(s)

Fatheah Ahmed Hendi¹, Manal Mohamed Al-Qarni²

¹Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, Saudi Arabia.
²Department of Mathematics, Faculty of Science, King Khaled University, Abha, Saudi Arabia.

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.

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

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.