The Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations

α
Dr. M. O. Olayiwola
Dr. M. O. Olayiwola
α Osun State University Osun State University

Send Message

To: Author

The Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations

Article Fingerprint

ReserarchID

2G9Y9

The Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

Abstract

In this paper, the author used the variational iteration method (VIM) to find the analytical solution to homogeneous and inhomogeneous partial differential equations. Few numerical examples were presented to show the effectiveness and efficiency of the method. It was observed that by carefully chosen a very good choice of initial guess leads to a solution in a closed form. The method is elegant and reliable.

References

12 Cites in Article
  1. G Adomian (1978). Nonlinear dissipative wave equations.
  2. N Hassan,Kamal Ismail,& Raslam,A Aziza,Rabboh Abd (2004). Adomian Decomposition Method for Generalized Burger's-Huxley and Burger's-Fisher Equation.
  3. I Abdel,-Halim Hassan (2008). Comparison of differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems.
  4. Hossein Jafari,Etal (2008). Application of Homotopy Perturbation Method for Solving Gas Dynamic Equation.
  5. M Inokuti (1978). General use of the Lagrange multiplier in nonlinear mathematical physics.
  6. J He (1998). Approximate analytical solution for seepage flow with fractional derivatives in porous media.
  7. J He (1998). Approximate solution of nonlinear differential equations with convolution product nonlinearities.
  8. Ji-Huan He (1999). Variational iteration method – a kind of non-linear analytical technique: some examples.
  9. J He (2000). Variational iteration method for autonomous ordinary differential system.
  10. Amit Goyal,Alka,Rama Gupta,C Kumar (2011). Solitary Wave Solutions for Burgers-Fisher type Equations with Variable Coefficients.
  11. Doǧan Kaya,Salah El-Sayed (2004). A numerical simulation and explicit solutions of the generalized Burgers–Fisher equation.
  12. H Ismail,A Rabboh (2004). A restrictive Pade approximation for The solution of the generalized Fisher and Berger-Fisher equation.

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. M. O. Olayiwola. 2015. \u201cThe Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F5): .

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 34A34
Version of record

v1.2

Issue date

July 1, 2015

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 4165
Total Downloads: 2067
2026 Trends
Related Research

Published Article

In this paper, the author used the variational iteration method (VIM) to find the analytical solution to homogeneous and inhomogeneous partial differential equations. Few numerical examples were presented to show the effectiveness and efficiency of the method. It was observed that by carefully chosen a very good choice of initial guess leads to a solution in a closed form. The method is elegant and reliable.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

The Variational Iteration Method for Analytic Treatment of Homogeneous and Inhomogeneous Partial Differential Equations

Dr. M. O. Olayiwola
Dr. M. O. Olayiwola Osun State University

Research Journals