A PARAMETRIC ITERATION METHOD FOR SOLVING LANE-EMDEN TYPE EQUATIONS

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.

CHAHARPASHLOU R.

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

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2017 | Volume:7 | Issue:1 Page(s): 33-45

Download Full-Text

Persian Verion

View:

654

Download:

218

Cites:

Information Journal Paper

Title

A PARAMETRIC ITERATION METHOD FOR SOLVING LANE-EMDEN TYPE EQUATIONS

Author(s)

CHAHARPASHLOU R. | Issue Writer Certificate

Keywords

PIECEWISE-TRUNCATED PARAMETRIC ITERATION METHODQ1

TRUNCATED PARAMETRIC ITERATION METHODQ1

PARAMETRIC ITERATION METHODQ1

NONLINEAR LANE-EMDEN TYPE EQUATIONSQ1

Abstract

In this paper, an analytical method called the PARAMETRIC ITERATION METHOD (PIM) is presented for solving the second-order singular IVPs of Lane-Emden type, and its local convergence is discussed. Since it is often useful to have an approximate analytical solution to describe the Lane-Emden type equations, especially for ones where the closed-form solutions do not exist at all, therefore, an effective improvement of the PIM is further proposed that is capable of obtaining an approximate analytical solution. The improved PIM is finally treated as an algorithm in a sequence of intervals for finding accurate approximate solutions of the NONLINEAR LANE-EMDEN TYPE EQUATIONS. Also, we show how to identify an approximate optimal value of the convergence accelerating parameter within the frame of the method. Some examples are given to demonstrate the efficiency and accuracy of the proposed method.

Cites

No record.

References

No record.

Cite

APA: Copy

CHAHARPASHLOU, R.. (2017). A PARAMETRIC ITERATION METHOD FOR SOLVING LANE-EMDEN TYPE EQUATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 7(1), 33-45. SID. https://sid.ir/paper/260855/en

Vancouver: Copy

CHAHARPASHLOU R.. A PARAMETRIC ITERATION METHOD FOR SOLVING LANE-EMDEN TYPE EQUATIONS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2017;7(1):33-45. Available from: https://sid.ir/paper/260855/en

IEEE: Copy

R. CHAHARPASHLOU, “A PARAMETRIC ITERATION METHOD FOR SOLVING LANE-EMDEN TYPE EQUATIONS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 7, no. 1, pp. 33–45, 2017, [Online]. Available: https://sid.ir/paper/260855/en

Related Journal Papers