A New Efficient Approach to Analytical Solutions of Parabolic Equations

Dr. Esmail Hesameddini; Habibolla Latifizadeh

A New Efficient Approach to Analytical Solutions of Parabolic Equations

Dr. Esmail Hesameddini * §

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Habibolla Latifizadeh

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Shiraz University of Technology, Shiraz, Iran.

A New Efficient Approach to Analytical Solutions of Parabolic Equations

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Abstract

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.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Hesameddini, Habibolla Latifizadeh. 2012. "A New Efficient Approach to Analytical Solutions of Parabolic Equations". Global Journal of Science Frontier Research, 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

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 35K25

Submission ReceivedJune 26, 2012
Peer Review Double Blind
Handling Editor
Accepted July 25, 2012
Published August 4, 2012

Version of record

v1.2

Issue date

September 3, 2012

Language

English

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Article Matrices

Total Score: 131

Country: Iran

Subject: Global Journal of Science Frontier Research

Authors: Dr. Esmail Hesameddini, Habibolla Latifizadeh (PhD/Dr. count: 1)

View Count (all-time): 236

Total Views (Real + Logic): 2217

Total Downloads (simulated): 44

Publish Date: 2012 08, Sat

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Total Views: 2.2K

Total Downloads: 44

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