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Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

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

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Title
Comments on "Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method"
Author
Jang, Bongsoo
Keywords
Basic properties; Differential transform method; Fundamental properties; Kernel function; Nonlinear Volterra integral equation; Volterra integral equations; Volterra-integral equation
Issue Date
200911
Publisher
ELSEVIER SCIENCE BV
Citation
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, v.233, no.2, pp.224 - 230
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.
URI
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DOI
http://dx.doi.org/10.1016/j.cam.2009.07.012
ISSN
0377-0427
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