References
- P.M. Anselone and I.H. Sloan, Numerical solutions of integral equations on the half line, Numer. Math. 51(6) (1987), pp. 599–614.
- K. Atkinson, The numerical solution of integral equations on the half-line, SIAM. J. Numer. Anal.6(3) (1969), pp. 375–397.
- K.E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, New York, 1996.
- A. Baderan, H. Darvishi, and M.M.N. Kiasary, Laguerre spectral method with different basis functions, Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi 36(3) (2015), pp. 876–880.
- W.W. Bell, Special Functions for Scientists and Engineers, Courier Corporation, London, 2004.
- K.B. Datta, B.M. Mohan, Orthogonal Functions in Systems and Control, Vol. 9, World Scientific, Singapore, 1995.
- F. de Hoog and I.H. Sloan, The finite-section approximation for integral equations on the half-line, ANZIAM J. 28(4) (1987), pp. 415–434.
- L.M. Delves, J. Mohamed, Computational Methods for Integral Equations, Cambridge University Press, New York, 1988.
- C. Edmond, An integral equation representation for overlapping generations in continuous time, J. Econ. Theory. 143(1) (2008), pp. 596–609.
- D. Funaro, Computational aspects of pseudospectral laguerre approximations. Appl. Numer. Math.6 (1989), pp. 447–457.
- A. Golbabai, O. Nikan, and J.R. Tousi, Note on using radial basis functions method for solving nonlinear integral equations, Commun. Numer. Anal. 2016(2) (2016), pp. 81–91.
- M. Hadizadeh and N. Moatamedi, A new differential transformation approach for two-dimensional Volterra integral equations, Int. J. Comput. Math. 84(4) (2007), pp. 515–526.
- A. Jerry, Introduction to Integral Equations with Applications, a Series of Monographs and Textbooks, Pure Appl. Math., Marcel Dekker, Inc., New York, 1985.
- M. Kijima, Stochastic Processes with Applications to Finance, CRC Press, London, 2016.
- K. Maleknejad and R. Dehbozorgi, Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis, J. Comput. Appl. Math.344 (2018), pp. 356–366.
- K. Maleknejad, A. Hoseingholipour, The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations, Int. J. Comput. Math. 97(11) (2020), pp. 2287–2302.
- K. Maleknejad and Y. Mahmoudi, Taylor polynomial solution of high-order nonlinear Volterra–Fredholm integro-differential equations, Appl. Math. Comput. 145(2–3) (2003), pp. 641–653.
- F. Mirzaee, N. Samadyar, Application of Bernoulli wavelet method for estimating a solution of linear stochastic itô-Volterra integral equations, Multidiscip. Model. Mater. Struct. 15(3) (2019), pp. 575–598.
- N. Muskhelishvili, Singular Integral Equations: Boundary Problems of Function Theory and their Application to Mathematical Physics. Dover Publications, New York, 2008.
- D. Pylak, R. Smarzewski, and M.A. Sheshko, A singular integral equation with a Cauchy kernel on the real half-line, Differ. Equ. 41(12) (2005), pp. 1775–1788.
- A. Rahmoune, Spectral collocation method for solving Fredholm integral equations on the half-line, Appl. Math. Comput. 219(17) (2013), pp. 9254–9260.
- J. Rashidinia and M. Sajjadian, The impact of two transformations on the solutions of second kind Fredholm integral equations system, Int. J. Appl. Comput. Math. 4(3) (2018), pp. 1091.
- A. Rubinstein, Stability of the numerical procedure for solution of singular integral equations on semi-infinite interval. application to fracture mechanics, Comput. Struct. 44(1–2) (1992), pp. 71–74.
- D. Sanikidze, On the numerical solution of a class of singular integral equations on an infinite interval, Differ. Equ. 41(9) (2005), pp. 1353–1358.
- J. Shen, Stable and efficient spectral methods in unbounded domains using laguerre functions, SIAM. J. Numer. Anal. 38(4) (2000), pp. 1113–1133.
- G. Szeg, Orthogonal Polynomials, Vol. 23, American Mathematical Soc, Rhode Island, 1939.