A new reconstruction of variational iteration method and its application to nonlinear Volterra integrodifferential equations. (English) Zbl 1474.65505

Summary: We reconstruct the variational iteration method that we call, parametric iteration method (PIM). The purposed method was applied for solving nonlinear Volterra integrodifferential equations (NVIDEs). The solution process is illustrated by some examples. Comparisons are made between PIM and Adomian decomposition method (ADM). Also exact solution of the 3rd example is obtained. The results show the simplicity and efficiency of PIM. Also, the convergence of this method is studied in this work.


65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
Full Text: DOI


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