On the Decomposition Method for System of Linear Fredholm Integral Equations of the Second Kind
نویسندگان
چکیده
The topic of the Adomian decomposition method has been rapidly growing in recent years. The concept of this method was first introduced by G. Adomian in the beginning of 1980’s [1, 2]. In this method the solution of a functional equations is considered as the sum of an infinite series usually converging to the solution [3]. The Adomian decomposition method for solving linear and nonlinear integral equations is known as a subject of extensive analytical and numerical studies [4, 5]. Our aim here is to compare the decomposition method with the classical successive approximations method [6] for solving system of linear Fredholm integral equations. Consider the following system of linear Fredholm integral equations:
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