A New Efficient Approach to Analytical Solutions of Parabolic Equations

1
Dr. Esmail Hesameddini
Dr. Esmail Hesameddini
2
Habibolla Latifizadeh
Habibolla Latifizadeh
1 Shiraz University of Technology, Shiraz, Iran.

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In this work the new algorithm entitled Reconstruction of Variational Iteration Method (RVIM) is used as an efficient technique in finding the approximate solutions of the linear and nonlinear equations using only few terms of its own iteration. The algorithm can help overcome the difficulty arising in calculating nonlinear intricate terms. Reconstruction of Variational Iteration Method (RVIM) is independent of any small parameters. Besides, it provides us with a simple way to ensure the convergence of series solution, so that we can always get accurate enough approximations. All of these verify the great potential and validity of the RVIM technique in comparison with those of Variational Iteration Method (VIM) for strongly nonlinear problems in science and engineering.

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The authors declare no conflict of interest.

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Dr. Esmail Hesameddini. 2012. \u201cA New Efficient Approach to Analytical Solutions of Parabolic Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F10): .

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GJSFR Volume 12 Issue F10
Pg. 31- 38
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

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September 3, 2012

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English

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In this work the new algorithm entitled Reconstruction of Variational Iteration Method (RVIM) is used as an efficient technique in finding the approximate solutions of the linear and nonlinear equations using only few terms of its own iteration. The algorithm can help overcome the difficulty arising in calculating nonlinear intricate terms. Reconstruction of Variational Iteration Method (RVIM) is independent of any small parameters. Besides, it provides us with a simple way to ensure the convergence of series solution, so that we can always get accurate enough approximations. All of these verify the great potential and validity of the RVIM technique in comparison with those of Variational Iteration Method (VIM) for strongly nonlinear problems in science and engineering.

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A New Efficient Approach to Analytical Solutions of Parabolic Equations

Dr. Esmail Hesameddini
Dr. Esmail Hesameddini Shiraz University of Technology, Shiraz, Iran.
Habibolla Latifizadeh
Habibolla Latifizadeh

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