Abstract
This paper aims at modifying the Adomian decomposition method. Thus, it is expected that a class of hypersingular integral equations of the second kind namely Prandtl's equation, be solved. To illustrate the procedure, different examples and problems are allotted to confirm the effectiveness, accuracy and validity of the modified method. All results considered, one can say that MADM promises the exact solution. It also can be conveniently used. That is, MADM is a simple but precise procedure that does not perform the complicated function in collocation methods based on polynomial.
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