Abstract
In this paper, a class of two point singular boundary value problems (SBVPs) has been solved by a new powerful technique. This technique relies on the Sumudu transform (ST) and modified homotopy perturbation method (MHPM). The proposed scheme is based on the freedom of the homotopy perturbation method (HPM) by introducing a suitable initial approximation; in addition, the residual error will be canceled in several points of the interest interval (RECP). Furthermore, only a first order approximation of the modified Sumudu transform homotopy perturbation method (MSTHPM) is required. the proposed method has been applied to solve several examples and the results have been compared with the exact solutions, it is found that the proposed solutions are of high accuracy and, therefore, MHPSTM is extremely efficient, simple and can be applied to other nonlinear problems.
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