A NEW ALGORITHM FOR SOLVING VAN DER POL EQUATION BASED ON PIECEWISE SPECTRAL ADOMIAN DECOMPOSITION METHOD

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

HOSSEINI S.GH.; BABOLIAN E.; ABBASBANDY S.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2016 | Volume:8 | Issue:3 Page(s): 177-184

Download Full-Text

Persian Verion

View:

1,113

Download:

146

Cites:

Information Journal Paper

Title

A NEW ALGORITHM FOR SOLVING VAN DER POL EQUATION BASED ON PIECEWISE SPECTRAL ADOMIAN DECOMPOSITION METHOD

Author(s)

HOSSEINI S.GH. | BABOLIAN E. | ABBASBANDY S. | Issue Writer Certificate

Keywords

VAN DER POL EQUATIONQ2

SPECTRAL ADOMIAN DECOMPOSITION METHODQ2

PIECEWISE METHODQ2

RUNGE-KUTTA METHODQ2

Abstract

In this article, a new method is introduced to give approximate solution to VAN DER POL EQUATION.The proposed method is based on the combination of two di erent methods, the SPECTRAL ADOMIAN DECOMPOSITION METHOD (SADM) and PIECEWISE METHOD, called the piecewise Adomian decomposition method (PSADM). The numerical results obtained from the proposed method show that this method is an e ective, accurate and powerful tool for solving VAN DER POL EQUATION and, the comparison show that the proposed technique is in good agreement with the numerical results obtained using RUNGE-KUTTA METHOD. The advantage of piecewise SPECTRAL ADOMIAN DECOMPOSITION METHOD over piecewise Adomian decomposition method is that it does not need to calculate complex integrals. Another merit of this method is that, unlike the spectral method, it does not require the solution of any linear or nonlinear system of equations. Furthermore, the proposed method is easy to implement and computationally very attractive.

Cites

No record.

References

Cite

APA: Copy

HOSSEINI, S.GH., BABOLIAN, E., & ABBASBANDY, S.. (2016). A NEW ALGORITHM FOR SOLVING VAN DER POL EQUATION BASED ON PIECEWISE SPECTRAL ADOMIAN DECOMPOSITION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 8(3), 177-184. SID. https://sid.ir/paper/231671/en

Vancouver: Copy

HOSSEINI S.GH., BABOLIAN E., ABBASBANDY S.. A NEW ALGORITHM FOR SOLVING VAN DER POL EQUATION BASED ON PIECEWISE SPECTRAL ADOMIAN DECOMPOSITION METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2016;8(3):177-184. Available from: https://sid.ir/paper/231671/en

IEEE: Copy

S.GH. HOSSEINI, E. BABOLIAN, and S. ABBASBANDY, “A NEW ALGORITHM FOR SOLVING VAN DER POL EQUATION BASED ON PIECEWISE SPECTRAL ADOMIAN DECOMPOSITION METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 8, no. 3, pp. 177–184, 2016, [Online]. Available: https://sid.ir/paper/231671/en

Related Journal Papers