[1] R. Amin, I. Mahariq, K. Shah, M. Awais, F. Elsayed, Numerical solution of the second order linear
and nonlinear integro-differential equations using Haar wavelet method, Arab J. Basic Appl. Sci.
28 (2021) 11–19.
[2] S.H. Behiry, H. Hashish, Wavelet methods for the numerical solution of Fredholm integro-
differential equations, Int. J. Appl. Math. 11 (2002) 27–35.
[3] S.H. Behiry, S.I. Mohamed, Solving high-order nonlinear VolterraFredholm integro-differential
equations by differential trasform method, Nat. Sci. 4 (2012) 581–587.
[4] A.H. Bhrawy, E. Tohidi, F. Soleymani, A new Bernoulii matrix method for solving high-order
linear and nonlinear Fredholm integro-differential equations with piecewise intervals, Appl. Math.
Comput. 219 (2012) 482–497.
[5] S.H. Behiry, Solution of nonlinear Fredholm integro-differential equations using a hybrid of block
pulse functions and normalized Bernstein polynomials, J. Comput. Appl. Math. 260 (2014) 258–
265.
[6] J. Chen, M.F. He, Y. Huang, A fast multiscale Galerkin method for solving second order linear
fredholm integro-differential equation with Dirichlet boundary conditions, J. Comput. Appl. Math.
364 (2020) 112352.
[7] J. Chen, Y. Huang, H. Rong, T. Wu, T. Zeng, A multiscale Galerkin method for second-order
boundary value problems of Fredholm integro-differential equation, J. Comput. Appl. Math. 290
(2015) 633–640.
[8] M. Dehghan, A. Saadatmandi, Chebyshev finite difference method for Fredholm integro-differential
equation, Int. J. Comput. Math. 85 (2008) 123–130.
[9] D.S. Dzhumabaev, On one approach to solve the linear boundary value problems for Fredholm
integro-differential equations, J. Comput. Appl. Math. 294 (2016) 342–357.
[10] R. Jalilian, T. Tahernezhad, Exponential spline method for approximation solution of Fredholm
integro-differential equation, Int. J. Comput. Math. 97 (2020) 791–801.
[11] S. Islam, I. Aziz, M. Fayyaz, A new approach for numerical solution of integro-differential equa-
tions via Harr wavelets, Int. J. Comput. Math. 90 (2013) 1971–1989.
[12] F. Mirzaee, Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polyno-
mials, Comput. Methods Differ. Equ. 5 (2017) 88–102.
[13] A. Molabahrami, Direct computation method for solving a general nonlinear Fredholm integro-
differential equation under the mixed conditions: Degenerate and non-degenerate kernels, J. Com-
put. Appl. Math. 282 (2015) 34–43.
[14] Y. Ordokhani, An application of Walsh functions for FredholmHammerstein integro-differential
equations, Int. J. Contemp. Math. Sci. 5 (2010) 1055–1063.
[15] P.K. Pandey, Non-standard difference method for numerical solution of linear Fredholm integro-
differential type two-point boundary value problems, Open Access Lib. J. 2 (2015) 1–10.
[16] A. Saadatmandi, M. Dehghan, Numerical solution of high-order linear Fredholm integro-
differentialdifference equation with variable coefficients, Comput. Math. Appl. 59 (2010) 2996–
3004.
[17] A. Shidfar, A. Molabahrami, A. Babaei, A. Yazdanian, A series solution of the nonlinear Volterra
and Fredholm integro-differential equations, Commun. Nonlinear Sci. Numer. Simul. 15 (2010)
205–215.
[18] G. D. Smith, Numerical Solution of Partial Differential Equations: Finite Difference Methods,
Oxford university press, 1985.
[19] H.R. Thiem, A model for spatio spead of an epidemic, J. Math. Biol. 4 (1977) 337–351.
[20] A.J. Weir, Lebesgue Integration and Measure, Cambridge: Cambridge University Press, 1973.
[21] Q. Xue , J. Niu, D. Yu, C. Ran, An improved reproducing kernel method for fredholm integro-
differential type two-point boundary value problems, Int. J. Comput. Math. 95 (2017) 1015–1023.
[22] S. Yeganeh, Y. Ordokhani, A. Saadatmandi, A Sinc-collocation method for second-order boundary
value problems of nonlinear integro-differential equation, J. Inf. Comput. Sci. 7 (2012) 151–160.
[23] W. Yulan, T. Chaolu, P. Jing, New algorithm for second-order boundary value problems of integro-
differential equation, J. Comput. Appl. Math. 229 (2009) 1–6.