Homotopy Perturbation Method with Reproducing Kernel Method for Third Order Nonlinear Boundary Value Problems

نویسندگان

  • Ghazala Akram
  • Hamood ur Rehman
چکیده

This method is based on a combination of the homotopy perturbation method (HPM) and the reproducing kernel method (RKM). The main advantages of this method is that it can overcome the restriction of the form of nonlinearity term in differential equations and improve the iterative speed of homotopy perturbation method. The solution obtained using the method takes the form of a convergent series with easily computable components. The third order nonlinear boundary value problem is solved using the combination of RKM and HPM. It can avoid additional computation work of HPM in determining the unknown parameters.

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تاریخ انتشار 2014