Improved variational iteration method for solving a class of nonlinear Fredholm integral equations

• M. H. Daliri ^[1] ; J. Saberi-Nadjafi ^[1]
  1. [1] Universidad Ferdowsi de Mashhad
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 76, Nº. 1, 2019, págs. 65-77
• Idioma: inglés
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• Resumen

  • In this paper, an efficient numerical method which is a combination of the variational iteration method and the spectral collocation method is developed for solving a class of nonlinear Fredholm integral equations (NFIEs). This method is easy to implement, requiring no tedious computational work and possesses the spectral accuracy. In addition, it does not require calculating Adomian’s polynomials and Lagrange’s multiplier values. Several numerical examples are included to demonstrate the validity and efficiency of the proposed method. The obtained results have been compared with the exact solutions so that the high accuracy of the results are clear.