- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- Triangular functions in solving Weakly Singular Volterra integral equations
Triangular functions in solving Weakly Singular Volterra integral equations
Authors : Monireh NOSRATİ, Hojjat AFSHARİ
Pages : 195-204
Doi:10.31197/atnaa.1236577
View : 91 | Download : 112
Publication Date : 2023-03-31
Article Type : Research Article
Abstract :In this paper, we propose the triangular orthogonal functions as a basis functions for solution of weakly singular Volterra integral equations of the second kind. Powerful properties of these functions and some operational matrices are utilized in a direct method to reduce singular integral equation to some algebraic equations. The presented method does not need any integration for obtaining the constant coefficients. The method is computationally attractive, and applications are demonstrated through illustrative examples.Keywords : triangular functions, Abel integral equation, operational matrices, error analysis, triangular functions, Abel integral equation, operational matrices, , error analysis