In this paper, we will give some results for developing the two-dimensional differential transform (TDDT) for double integrals. Then the TDDT method will be developed for solving a class of two-dimensional linear and nonlinear Volterra integral equations. We also give some examples to demonstrate th
Differential transform method for solving Volterra integral equation with separable kernels
β Scribed by Zaid M. Odibat
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 174 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-7177
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## 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
Nonlinear Volterra integral and integro differential equations with weakly-singular kernel are considered and solved numerically using nonlinear Mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.