𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by A. Tari; M.Y. Rahimi; S. Shahmorad; F. Talati


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
419 KB
Volume
228
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


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 the accuracy of the method.


πŸ“œ SIMILAR VOLUMES


Comments on β€œSolving a class of two-dime
✍ Bongsoo Jang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 457 KB

## 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

On a method for solving a two-dimensiona
✍ M.A. Abdou; A.A. Badr; M.B. Soliman πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 258 KB

In this article, the existence of at least one solution of a nonlinear integral equation of the second kind is proved. The degenerate method is used to obtain a nonlinear algebraic system, where the existence of at least one solution of this system is discussed. Finally, computational results with e