A study of the convergence of and error estimation for the homotopy perturbation method for the Volterra-Fredholm integral equations

作者：Hetmaniok Edyta; Nowak Iwona; Slota Damian^*; Witula Roman

来源：Applied Mathematics Letters, 2013, 26(1): 165-169.

DOI：10.1016/j.aml.2012.08.005

• Homotopy perturbation method
• Volterra-Fredholm integral equations

In this work the solution of the Volterra-Fredholm integral equations of the second kind is presented. The proposed method is based on the homotopy perturbation method, which consists in constructing the series whose sum is the solution of the problem considered. The problem of the convergence of the series constructed is formulated and a proof of the formulation is given in the work. Additionally, the estimation of the approximate solution errors obtained by taking the partial sums of the series is elaborated on.

• 出版日期2013-1