Convergence of the Adomian method applied to a class of nonlinear integral equations

Applied Mathematics Letters

Volumn 21, Issue 4, 2008, Pages 372-376

  El Kalla, I L ^a  

^a Mansoura University   (Egypt)

Author keywords

Adomian method; Convergence; Nonlinear Volterra integral equations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; NONLINEAR EQUATIONS; RELIABILITY THEORY;

ADOMIAN SERIES SOLUTION; VOLTERRA INTEGRAL EQUATIONS;

INTEGRAL EQUATIONS;

EID: 40149084513     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2007.05.008     Document Type: Article

References (9)

1. Adomian G. Stochastic System (1983), Academic Press
2. Adomian G. Nonlinear Stochastic Operator Equations (1986), Academic Press, San Diego
3. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method (1995), Kluwer
4. El-Tawil M., Saleh M., and El-kalla I.L. Decomposition solution of stochastic nonlinear oscillator. Int. J. Differ. Equ. Appl. 6 4 (2002) 411-422
5. Biazar J., and Babolian E. Solution of a system of nonlinear Volterra integral equations of the second kind. Far East J. Math. Sci. 2 6 (2000) 935-945
6. Babolian E., Biazar J., and Vahidi A.R. The decomposition method applied to systems of Fredholm integral equations of the second kind. Appl. Math. Comput. 148 (2004) 443-452
7. Sadeghi Goghary H., Javadi Sh., and Babolian E. Restarted Adomian method for system of nonlinear Volterra integral equations. Appl. Math. Comput. 161 (2005) 745-751
8. Abbasbandy S. Numerical solution of the integral equations: Homotopy perturbation method and Adomian decomposition method. Appl. Math. Comput. 173 (2006) 393-500
9. El-kalla I.L. Convergence of Adomian's method applied to a class of Volterra type integro-differential equations. Int. J. Differ. Equ. Appl. 10 2 (2005) 225-234