A GENERALIZED FINITE DIFFERENCE FOR THE SOLUTION OF TWO-DIMENSIONAL DIFFUSION 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.

ARZANI HAMED; AFSHAR M.H.

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

Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN) Year:2008 | Volume:19 | Issue:8-2 (SUPPLEMENT CIVIL ENGINEERING) Page(s): 53-62

Download Full-Text

Persian Verion

View:

1,695

Download:

Cites:

Information Journal Paper

Title

A GENERALIZED FINITE DIFFERENCE FOR THE SOLUTION OF TWO-DIMENSIONAL DIFFUSION PROBLEMS

Author(s)

ARZANI HAMED | AFSHAR M.H. | Issue Writer Certificate

Keywords

Not Registered.

Abstract

Many meshless methods are presented in recent years for solving partial differential equations. In this paper, a Generalized Finite Difference meshless method was developed for the solution of two-dimensional elliptic problems. A fully Least Squares method is used in both function approximation and the discretization of the governing differential equations. The discretized equations are obtained via a discrete least squares method in which the sums of the squared residuals are minimized with respect to unknown nodal parameters in the inner and boundary nodes. In this process no numerical integration is needed and the obtained equations are symmetric and positive definite. The mesh less shape functions are derived using the Moving Least Squares method of function approximation. The proposed method has the additional advantages of the producing symmetric, positive definite matrices even for non-self adjoin operators. The method is tested against two elliptic two-dimensional examples including Poisson and Seepage problems in steady state form.

Cites

No record.

References

MESHLESS METHODS AND A SIMPLE LINEAR CONVECTION DIFFUSION DEVELOPMENT

Cite

APA: Copy

ARZANI, HAMED, & AFSHAR, M.H.. (2008). A GENERALIZED FINITE DIFFERENCE FOR THE SOLUTION OF TWO-DIMENSIONAL DIFFUSION PROBLEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), 19(8-2 (SUPPLEMENT CIVIL ENGINEERING)), 53-62. SID. https://sid.ir/paper/65655/en

Vancouver: Copy

ARZANI HAMED, AFSHAR M.H.. A GENERALIZED FINITE DIFFERENCE FOR THE SOLUTION OF TWO-DIMENSIONAL DIFFUSION PROBLEMS. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)[Internet]. 2008;19(8-2 (SUPPLEMENT CIVIL ENGINEERING)):53-62. Available from: https://sid.ir/paper/65655/en

IEEE: Copy

HAMED ARZANI, and M.H. AFSHAR, “A GENERALIZED FINITE DIFFERENCE FOR THE SOLUTION OF TWO-DIMENSIONAL DIFFUSION PROBLEMS,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), vol. 19, no. 8-2 (SUPPLEMENT CIVIL ENGINEERING), pp. 53–62, 2008, [Online]. Available: https://sid.ir/paper/65655/en

Related Journal Papers