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Solving nonlinear Volterra-Fredholm integro-differential equations using He’s variational iteration method. (English) Zbl 1216.65179
The paper is concerned with an application of He’s variational iteration method to a nonlinear Volterra-Fredholm integro-differential equation and the comparison of this approach with a modified Adomian decomposition method. Following background and the description of He’s method, the authors present a proof that He’s method provides a convergent series under appropriate conditions. They show, by numerical calculation, that the method has smaller error than the Adomian method for a particular example problem with known exact solution.
MSC:
65R20Integral equations (numerical methods)
45G10Nonsingular nonlinear integral equations
45B05Fredholm integral equations
45D05Volterra integral equations
45J05Integro-ordinary differential equations