Exact solutions for an special type of linear infinite boundary integro-differential equations

In this work, we conduct a comparative study between the He’s homotopy perturbation method (HPM) and the Laplace transform-modified adomian decomposition method (LMADM) and one traditional method for analytic treatment an special type of infinite boundary integro-differential equations with degenerate kernel. The proper implementation of (HPM) and (LMADM) can extremely minimize the size of work if compared to existing one traditional method, namely the direct computation method (DCM). The results reveal that the (HPM) and (LMADM) are very effective and simple and gives the exact solution.