Zernike radial polynomials method for solving nonlinear singular boundary value problems arising in physiology

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.

Ebadi m.a.; Hashemizadeh e.s.; REFAHI SHEIKHANI A.H.

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

Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2019 | Volume:5 | Issue:19 Page(s): 139-150

Download Full-Text

Persian Verion

View:

601

Download:

Cites:

Information Journal Paper

Title

Zernike radial polynomials method for solving nonlinear singular boundary value problems arising in physiology

Author(s)

Ebadi m.a. | Hashemizadeh e.s. | REFAHI SHEIKHANI A.H. | Issue Writer Certificate

Keywords

nonlinear singular differential equationsQ1

Zernike radial polynomialsQ1

Operational matrix of derivativeQ1

Abstract

The aim of this paper is to provide a new numerical method for solving nonlinear singular differential equations that arise in biology problem. These kind of problems appear in various biology problems like oxygen diffusion in red blood cells, distribution of heat source in human head and cancer tumor growth and etc. In this paper this equations are solved by a new numerical method by using Zernike radial polynomials. In the proposed method for the first time the Operational matrix of derivative for Zernike radial polynomials is derived and by using this operational matrices of derivative of Zernike radial functions the differential equation convert to a system of algebraic equations that can be solved easily. The implementation of this proposed method is simple and attractive. Finally some applied models are presented to compare the results by other method results, and they show the accuracy and efficiency of the presented method.

Cites

No record.

References

No record.

Cite

APA: Copy

Ebadi, m.a., Hashemizadeh, e.s., & REFAHI SHEIKHANI, A.H.. (2019). Zernike radial polynomials method for solving nonlinear singular boundary value problems arising in physiology. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 5(19 ), 139-150. SID. https://sid.ir/paper/257341/en

Vancouver: Copy

Ebadi m.a., Hashemizadeh e.s., REFAHI SHEIKHANI A.H.. Zernike radial polynomials method for solving nonlinear singular boundary value problems arising in physiology. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2019;5(19 ):139-150. Available from: https://sid.ir/paper/257341/en

IEEE: Copy

m.a. Ebadi, e.s. Hashemizadeh, and A.H. REFAHI SHEIKHANI, “Zernike radial polynomials method for solving nonlinear singular boundary value problems arising in physiology,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 5, no. 19 , pp. 139–150, 2019, [Online]. Available: https://sid.ir/paper/257341/en

Related Journal Papers