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.
Subject
Applied Mathematics,Analysis
Reference23 articles.
1. [1] L. Mach, Wiener Akademie Berlin fur Mathematik und Physik Klasse, 105 (1896), p. 605.
2. [2] M.A. Abdou, A.A. Nasr, On the numerical treatment of the singular integral equation of the second kind. Appl. Math. Comput. 146 (2003), 373380.
3. [3] D.A. Hills, P.A. Kelly, D.N. Dai, A.M. Korsunsky, Solution of Crack Problems. Springer, Dordrecht (1996).
4. [4] X. Jin, L.M. Keer, Q. Wang, A practical method for singular integral equations of the second kind. Eng. Fract. Mech. 75 (2008), 10051014.
5. [5] N. Zeilon, Sur quelques points de la theorie de l’equation integrale d’Abel, Arkiv. Mat. Astr. Fysik. 18 (1924), pp. 1-19.
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