Applied and Computational Mathematics

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Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents

Received: 08 March 2013    Accepted:     Published: 20 February 2013
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Abstract

In this paper, variational iteration method (VIM) and multivariate padé approximaton (MPA) were compared. First, partial differential eqaution has been solved and converted to power series by variational iteration method (VIM), then the numerical solution of partial differential eqauation was put into multivariate padé series. Thus the numerical solutions of the partial differential eqautions were obtained. Numerical solutions of two examples were calculated and results were presented in tables and figures.

DOI 10.11648/j.acm.20130201.13
Published in Applied and Computational Mathematics (Volume 2, Issue 1, February 2013)
Page(s) 19-23
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Variational Iteration Method (VIM), Multivariate Padé Approximaton (MPA), Partial Differential Equation (Pde)

References
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Author Information
  • Department of Mathematics, Faculty of Arts and Sciences, Batman University, Batman,Turkey

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    Veyis TURUT. (2013). Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents. Applied and Computational Mathematics, 2(1), 19-23. https://doi.org/10.11648/j.acm.20130201.13

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    Veyis TURUT. Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents. Appl. Comput. Math. 2013, 2(1), 19-23. doi: 10.11648/j.acm.20130201.13

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    Veyis TURUT. Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents. Appl Comput Math. 2013;2(1):19-23. doi: 10.11648/j.acm.20130201.13

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  • @article{10.11648/j.acm.20130201.13,
      author = {Veyis TURUT},
      title = {Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents},
      journal = {Applied and Computational Mathematics},
      volume = {2},
      number = {1},
      pages = {19-23},
      doi = {10.11648/j.acm.20130201.13},
      url = {https://doi.org/10.11648/j.acm.20130201.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20130201.13},
      abstract = {In this paper, variational iteration method (VIM) and multivariate padé approximaton (MPA) were compared. First, partial differential eqaution has been solved and converted to power series by variational iteration method (VIM), then the numerical solution of partial differential eqauation was put into multivariate padé series. Thus the numerical solutions of the partial differential eqautions were obtained. Numerical solutions of two examples were calculated and results were presented in tables and figures.},
     year = {2013}
    }
    

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    AB  - In this paper, variational iteration method (VIM) and multivariate padé approximaton (MPA) were compared. First, partial differential eqaution has been solved and converted to power series by variational iteration method (VIM), then the numerical solution of partial differential eqauation was put into multivariate padé series. Thus the numerical solutions of the partial differential eqautions were obtained. Numerical solutions of two examples were calculated and results were presented in tables and figures.
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