Improved variational iteration method for solving a class of nonlinear Fredholm integral equations. (English) Zbl 1427.45002
The authors develop an efficient numerical method that is based on a combination of the variational method and the spectral collocation method in order to solve a class of non-linear Fredholm integral equations. Their method has the advantage of being (i) easy to implement, (ii) fast in computational time, and (iii) spectrally accurate. Moreover, there is neither the need of calculating Adomian’s polynomials nor Lagrange’s multiplier values. Additionally, the authors provide a variety of numerical results to show the validity and the efficiency of their method as well as the spectral accuracy.
Reviewer: Andreas Kleefeld (Jülich)
MSC:
| 45G10 | Other nonlinear integral equations |
| 65R20 | Numerical methods for integral equations |
| 45B05 | Fredholm integral equations |
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
variational iteration method; spectral collocation method; nonlinear Fredholm integral equationReferences:
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