Triangular functions (TF) method for the solution of nonlinear Volterra–Fredholm integral equations
✍ Scribed by K. Maleknejad; H. Almasieh; M. Roodaki
- Book ID
- 108096997
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 233 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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📜 SIMILAR VOLUMES
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
we study the numerical approximation of the nonlinear Volterra-F'redholm integral equations by combining the discrete time collocation method [I] and the new formulation of Kumar and Sloan [2], which converts an integral equation of the conventional Hammerstein form into a conductive form for approx
This paper presents a computational technique for the solution of the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations. The method is based on the composite collocation method. The properties of hybrid of block-pulse functions and Lagrange polynomials are discussed and utilized to de