a b s t r a c t Two-dimensional orthogonal triangular functions (2D-TFs) are presented as a new set of basis functions for expanding 2D functions. Their properties are determined and an operational matrix for integration obtained. Furthermore, 2D-TFs are used to approximate solutions of nonlinear tw
Applications of two-dimensional triangular functions for solving nonlinear class of mixed Volterra–Fredholm integral equations
✍ Scribed by K. Maleknejad; Z. JafariBehbahani
- Book ID
- 113796690
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 281 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0895-7177
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📜 SIMILAR VOLUMES
## a b s t r a c t Few numerical methods such as projection methods, time collocation method, trapezoidal Nystrom method, Adomian decomposition method and some else are used for mixed Volterra-Fredholm integral equations. The main purpose of this paper is to use the piecewise constant two-dimensio
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