Solving a class of hypersingular integral equations by using the modified homotopy perturbation method

The main purpose in this work is to modify the homotopy perturbation method (MHPM) and the procedure is, indeed, expected to be set in a way that a class of hypersingular integral equations of the second kind namely Prandtl s equation, be solved. In general, to conduct this research, proper examples are illustrated to point out the effectiveness, accuracy and validity of the modified method. The results obtained here, would allow us to make valid conclusion on the MHPM to be qualified in carrying the exact solution. That is, one might attempt to go through the complicated function in collocation methods based on polynomial using the MHPM as a simple but precise procedure