NUMERICAL SIMULATION OF 1D LINEAR TELEGRAPH EQUATION WITH VARIABLE COEFFICIENTS USING MESHLESS LOCAL RADIAL POINT INTERPOLATION (‎MLRPI)

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.

SHIVANIAN E.; ABBASBANDY S.; KHODAYARI A.

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:2018 | Volume:10 | Issue:2 Page(s): 151-164

Download Full-Text

View:

196

Download:

108

Cites:

Information Journal Paper

Title

NUMERICAL SIMULATION OF 1D LINEAR TELEGRAPH EQUATION WITH VARIABLE COEFFICIENTS USING MESHLESS LOCAL RADIAL POINT INTERPOLATION (‎MLRPI)

Author(s)

SHIVANIAN E. | ABBASBANDY S. | KHODAYARI A. | Issue Writer Certificate

Keywords

MESHLESS LOCAL RADIAL POINT INTERPOLATION (MLRPI)

RADIAL BASIS FUNCTION

VARIABLE COEFFICIENT

TELEGRAPH EQUATION

Abstract

In the current work, we implement the meshless local radial point interpolation (MLRPI) method to find numerical solution of one-dimensional linear TELEGRAPH EQUATIONs with VARIABLE COEFFICIENTs. The MLRPI method, as a meshless technique, does not require any background integration cells and all integrations are carried out locally over small quadrature domains of regular shapes, such as lines in one dimensions, circles or squares in two dimensions and spheres or cubes in three dimensions. Weak form formulation of the discretized equations has been constructed on local subdomains, hence the domain and boundary integrals in the weak form methods can easily be evaluated over the regularly shaped subdomains by some numerical quadratures. RADIAL BASIS FUNCTIONs augmented with monomials are used in to create shape functions. These shape functions have delta function property. Also the time derivatives is eliminated by using two-step finite differences approximation. Two illustrative numerical examples are given to show the stability and accuracy of the present method.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

SHIVANIAN, E., ABBASBANDY, S., & KHODAYARI, A.. (2018). NUMERICAL SIMULATION OF 1D LINEAR TELEGRAPH EQUATION WITH VARIABLE COEFFICIENTS USING MESHLESS LOCAL RADIAL POINT INTERPOLATION (‎MLRPI). INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 10(2), 151-164. SID. https://sid.ir/paper/711126/en

Vancouver: Copy

SHIVANIAN E., ABBASBANDY S., KHODAYARI A.. NUMERICAL SIMULATION OF 1D LINEAR TELEGRAPH EQUATION WITH VARIABLE COEFFICIENTS USING MESHLESS LOCAL RADIAL POINT INTERPOLATION (‎MLRPI). INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2018;10(2):151-164. Available from: https://sid.ir/paper/711126/en

IEEE: Copy

E. SHIVANIAN, S. ABBASBANDY, and A. KHODAYARI, “NUMERICAL SIMULATION OF 1D LINEAR TELEGRAPH EQUATION WITH VARIABLE COEFFICIENTS USING MESHLESS LOCAL RADIAL POINT INTERPOLATION (‎MLRPI),” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 10, no. 2, pp. 151–164, 2018, [Online]. Available: https://sid.ir/paper/711126/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops