International Journal of Emerging Multidisciplinaries: Mathematics

Corresponding Author

Mubashir Qayyum

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations


Analytical solution, HPM, LSHPM, Multi-point BVPs


In this paper a modification of homotopy perturbation method (HPM) is proposed for multi-point boundary value problems (BVPs). In this modification, HPM is hybrid with least square (LS) optimizer and named as least square homotpy perturbation method (LSHPM). Proposed method is applied to nonlinear multi-point BVPs and results are compared with HPM. The validity and convergence of the obtained solutions are confirmed by finding residual errors in each case. Analysis reveals that LSHPM is providing much accurate results as compared to HPM and hence can be used for more complex problems.

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