Two-step Laplace decomposition algorithm for solving the Abel s integral equations of the second kind and comparing with homotopy perturbation transform method

In this paper, Abel’s type of singular integral equations of the second kind have been treated by two-step Laplace decomposition algorithm (TSLDA) and Homptopy perturbation transform method (HPTM). The obtained numerical solutions show the accuracy and stability of TSLDA comparing to HPTM.