Department of Mathematics, Persian Gulf University, Bushehr 75169, Iran
Abstract
In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bound estimation of the new iterative method are also discussed. Finally, some numerical examples are given to compare the performance of the proposed method with the existing methods.
Karimi, S., Dehghan, M., & Takhtabnoos, F. (2015). A new iteration method for solving a class of Hammerstein type integral equations system. Computational Methods for Differential Equations, 3(4), 231-246.
MLA
Saeed Karimi; Maryam Dehghan; Fariba Takhtabnoos. "A new iteration method for solving a class of Hammerstein type integral equations system". Computational Methods for Differential Equations, 3, 4, 2015, 231-246.
HARVARD
Karimi, S., Dehghan, M., Takhtabnoos, F. (2015). 'A new iteration method for solving a class of Hammerstein type integral equations system', Computational Methods for Differential Equations, 3(4), pp. 231-246.
VANCOUVER
Karimi, S., Dehghan, M., Takhtabnoos, F. A new iteration method for solving a class of Hammerstein type integral equations system. Computational Methods for Differential Equations, 2015; 3(4): 231-246.
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