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A variational approach for a class of nonlocal elliptic boundary value problems

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Abstract

The aim of this paper is to apply the variational iteration method to a class of nonlinear, nonlocal, elliptic boundary value problems. The uniform convergence of the scheme is presented and the work is illustrated by considering a number of test examples that confirm the accuracy and efficacy of the iterative process. The computational results show that the scheme is reliable, converges fast and compares very well with the existing analytic solutions.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE

    S. A. Khuri

  2. Department of Mathematics, Saint Xavier University, Chicago, IL , 60655, USA

    Abdul-Majid Wazwaz

Authors
  1. S. A. Khuri
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  2. Abdul-Majid Wazwaz
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Correspondence to S. A. Khuri.

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Khuri, S.A., Wazwaz, AM. A variational approach for a class of nonlocal elliptic boundary value problems. J Math Chem 52, 1324–1337 (2014). https://doi.org/10.1007/s10910-014-0312-6

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  • DOI: https://doi.org/10.1007/s10910-014-0312-6

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