Comments on "Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method"

Authors:
Bongsoo Jang
Affiliations:
School of Mechanical and Advanced Material Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan Metropolitan City 689-798, Republic of Korea
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 4
Cited 1

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On the two-dimensional differential transform method

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Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method

Journal of Computational and Applied Mathematics

Solutions of two-dimensional integral equation systems by using differential transform method

AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications

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Abstract

Tari et al. [A. Tari, M.Y. Rahimi, S. Shahmorad, F. Talati, Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method, J. Comput. Appl. Math. 228 (2009) 70-76], presented some fundamental properties of TDTM for the kernel functions in two-dimensional Volterra integral equations. Here, we suggest simple proofs of those fundamental properties by using the basic properties of TDTM. Furthermore, we present some fundamental properties of TDTM for the kernel functions of a quotient type in two-dimensional Volterra integral equations. Numerical illustrations are demonstrated to show the effectiveness of the TDTM for solving two-dimensional Volterra integral equations.