Comments on “Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method” |
| |
Authors: | Bongsoo Jang |
| |
Institution: | aSchool of Mechanical and Advanced Material Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan Metropolitan City 689-798, Republic of Korea |
| |
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. |
| |
Keywords: | Volterra-integral equation Differential transform method |
本文献已被 ScienceDirect 等数据库收录! |
|