Abstract

In this study, we apply the homotopy perturbation method for solving the second-order boundary value problems by reformulating them as an equivalent system of integral equations. This equivalent formulation is obtained by using a suitable transformation. The analytical results of the integral equations have been obtained in terms of convergent series with easily computable components. The method is tested for solving linear second-order boundary value problems. The analysis is accompanied by several examples that demonstrate the comparison and shows the pertinent features of the homotopy perturbation technique.

Keywords:

Boundary value problems, homotopy perturbation method, integral equation,

References

Competing interests

The authors have no competing interests.

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Copyright

The authors have no competing interests.