Development of the sinc method for nonlinear integro-differential eequations

Australian Journal of Basic and Applied Sciences

Volumn 4, Issue 11, 2010, Pages 5508-5515

  Jalaei, K ^a   Zarebnia, M ^b   Mirzaee Chalaki, M ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b UNIVERSITY OF MOHAGHEGH ARDABILI   (Iran)

Author keywords

Fredholm; Integro differential; Nonlinear; Sinc method

Indexed keywords

EID: 78650819423     PISSN: 19918178     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Atkinson, E., 1997. The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, Cambridge.
2. Abdul Jerri, J., 1999. Introduction to Integral Equations with Applications, John Wiley and Sons, New York.
3. Danfu, H., S. Xufeng, 2007. Numerical Solution of Integro-Differential Equations by Using CAS Wavelet Operational Matrix of Integration, Applied Mathematics and Computation, 194: 460-466.
4. Delves, L. M., J. L. Mohamed, 1985. Computational Methods for Integral Equations, Cambridge University Press, Cambridge.
5. El-Kalla, I.L., 2008. Convergence of the Adomian Method Applied to a Class of Nonlinear Integral Equations, Applied Mathematics Letters, 21: 372-376.
6. Kurt, N., M. Sezer, 2008. Polynomial Solution of High-Order Linear Fredholm Integro-Differential Equations with Constant Coefficients, Journal of the Franklin Institute, 345: 839-850.
7. Linz, P., 1985. Analytical and Numerical Methods for Volterra Equations, SIAM, Philadelphia, PA.
8. Ordokhani, Y., M. Razzaghi, 2008. Solution of Nonlinear Volterra-Fredholm-Hammerstein Integral equations via a Collocation Method and Rationalized Haar Functions, Applied Mathematics Letters, 21: 4-9.
9. Morlet, A.C., N.J. Lybeck, K.L. Bowers, 1999. Convergence of the Sinc overlapping domain decomposition method, Appl. Math. Comput., 98: 209-227.
10. Rashidinia, J., M. Zarebnia, 2005. Numerical solution of linear integral equations by using Sinc-collocation method, Appl. Math. Comput., 168: 806-822.
11. Stenger, F., 1993. Numerical Methods Based on Sinc and Analytic Functions, Springer-Verlag, New York.
12. Wang, Shu-Qiang, Ji-Huan He, 2007. Variational Iteration Method for Solving Integro-Differential Equations, Physics Letters A, 367: 188-191.
13. Yusufoglu, E., 2009. Improved homotopy perturbation method for solving Fredholm type integrodifferential equations, Chaos, Solitons and Fractals, 41: 28-37.