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

✍ Scribed by Bongsoo Jang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
457 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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