EXTENDING THE EXPONENTIAL BASIS FUNCTIONS MESHLESS METHOD TO SOLVE SINGULAR PLATE PROBLEMS

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.

MOSSAIBY F.; NASR ESFAHANI M.

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

Journal Paper

Paper Information

Journal: JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL) Year:2016 | Volume:34 | Issue:2 Page(s): 87-103

Download Full-Text

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

Persian Verion

View:

894

Download:

Cites:

Information Journal Paper

Title

EXTENDING THE EXPONENTIAL BASIS FUNCTIONS MESHLESS METHOD TO SOLVE SINGULAR PLATE PROBLEMS

Author(s)

MOSSAIBY F. | NASR ESFAHANI M. | Issue Writer Certificate

Keywords

MESHLESS METHODSQ2

SINGULAR PROBLEMSQ2

EXPONENTIAL BASIS FUNCTIONSQ1

BI-HARMONIC EQUATIONQ2

PLATEQ2

Abstract

Existence of singular points inside the solution domain or on its boundary deteriorates the accuracy and convergence rate of numerical methods. This phenomenon usually happens due to discontinuities in the boundary conditions or abrupt changes in the domain shape. This study has focused on the solution of singular PLATE problems using the EXPONENTIAL BASIS FUNCTIONS method. In this method, unknown functions are considered as a linear combination of EXPONENTIAL BASIS FUNCTIONS and the coefficients are calculated by approximate satisfaction of the boundary conditions. To increase the accuracy and convergence rate in problems with singular points, a series of singular, quasi-exponential functions are added to the method’s EXPONENTIAL BASIS FUNCTIONS. These functions have proper discontinuity in location of the singular points and satisfy the homogenous differential equation. The results obtained from the solution of three cracked PLATE problems show considerable increase in the accuracy and convergence rate of the proposed method compared with the EXPONENTIAL BASIS FUNCTIONS methodwithout any noticeable increase in the computational cost.

Cites

No record.

References

No record.

Cite

APA: Copy

MOSSAIBY, F., & NASR ESFAHANI, M.. (2016). EXTENDING THE EXPONENTIAL BASIS FUNCTIONS MESHLESS METHOD TO SOLVE SINGULAR PLATE PROBLEMS. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), 34(2), 87-103. SID. https://sid.ir/paper/173624/en

Vancouver: Copy

MOSSAIBY F., NASR ESFAHANI M.. EXTENDING THE EXPONENTIAL BASIS FUNCTIONS MESHLESS METHOD TO SOLVE SINGULAR PLATE PROBLEMS. JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL)[Internet]. 2016;34(2):87-103. Available from: https://sid.ir/paper/173624/en

IEEE: Copy

F. MOSSAIBY, and M. NASR ESFAHANI, “EXTENDING THE EXPONENTIAL BASIS FUNCTIONS MESHLESS METHOD TO SOLVE SINGULAR PLATE PROBLEMS,” JOURNAL OF COMPUTATIONAL METHODS IN ENGINEERING (ESTEGHLAL), vol. 34, no. 2, pp. 87–103, 2016, [Online]. Available: https://sid.ir/paper/173624/en

Related Journal Papers