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Variational Iteration Method for Solving Problems with Integral Boundary Conditions

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Differential and Difference Equations with Applications (ICDDEA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

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Abstract

In this work, Variational Iteration Method is employed to solve parabolic partial differential equations subject to initial and nonlocal inhomogeneous boundary conditions of integral type. Since nonlocal boundary conditions considerably complicate the application of standard functional and numerical techniques, equations having such conditions are first transformed to local (classical) boundary conditions Then they are solved by Variational Iteration Method.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, Laboratory of Dynamical Systems and Control, Larbi Ben M’Hidi University, Oum El Bouaghi, Algeria

    Ahcene Merad

  2. Department of Math and Basic Science, Ajman University, Ajman, United Arab Emirates

    Samir Hadid

Authors
  1. Ahcene Merad
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  2. Samir Hadid
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Corresponding author

Correspondence to Ahcene Merad .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Engenharia, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  3. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  4. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    John R. Graef

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Merad, A., Hadid, S. (2018). Variational Iteration Method for Solving Problems with Integral Boundary Conditions. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_11

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