Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents

Veyis TURUT

doi:doi:10.11648/j.acm.20130201.13

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Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents

Veyis TURUT

Published in Applied and Computational Mathematics (Volume 2, Issue 1)

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.

Published in	Applied and Computational Mathematics (Volume 2, Issue 1)
DOI	10.11648/j.acm.20130201.13
Page(s)	19-23
Creative Commons	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), 2013. Published by Science Publishing Group

Keywords

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

References

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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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ACS Style

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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AMA Style

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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents
AU  - Veyis TURUT
Y1  - 2013/02/20
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130201.13
DO  - 10.11648/j.acm.20130201.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 19
EP  - 23
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130201.13
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.
VL  - 2
IS  - 1
ER  -

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Author Information

Veyis TURUT

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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ACS Style

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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AMA Style

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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Numerıcal Approxımatons for Solvıng Partıal Dıfferentıal Equatıons wıth Varıable Coeffıcıents
AU  - Veyis TURUT
Y1  - 2013/02/20
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130201.13
DO  - 10.11648/j.acm.20130201.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 19
EP  - 23
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130201.13
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.
VL  - 2
IS  - 1
ER  -

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