Solving a Prandtl’s equation by the modified Adomian decomposition method

In this paper, the Adomian decomposition method is modified to solve a class of hypersingular integral equations of the secend kind (Prandtl’s equation). The effectiveness of the modified method is verified by three examples. Different problems, for exemplification, have been solved in order to display the accuracy and validity of the aforementioned method. According to the results, it gets known that the modified Adomian decomposition method is so efficient and simple which gives the exact solution, and also shuns the complicated function of long theoretical calculations of collocation methods based on polynomial producing the exact solution.

Keywords:

Hypersingular integral equations of the secend kind , Prandtl’s equation , modified Adomian ecomposition method