Application of homotopy perturbation method to the Bratu-type equations

Xinlong Feng, Yinnian He, Jixiang Meng

Abstract


A new algorithm is presented for
solving the Bratu-type equations. The numerical scheme based on
the homotopy perturbation method is deduced. Two boundary value
problems and an initial value problem are given to illustrate
effectiveness and convenience of the proposed scheme. Our results
agree very well with the numerical solutions showing that the
homotopy perturbation method is a promising method.

Keywords


Bratu problem; homotopy perturbation method; Adomian decomposition method; boundary value problems; initial value problems

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