THE WAVE EQUATION IN NON-CLASSIC CASES: NON-SELF ADJOINT WITH NON-LOCAL AND NON-PERIODIC BOUNDARY CONDITIONS

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.

JAHANSHAHI MOHAMMAD; AHMADKHANLU ASGHAR

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

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2014 | Volume:9 | Issue:1 Page(s): 1-12

Download Full-Text

View:

472

Download:

185

Cites:

Information Journal Paper

Title

THE WAVE EQUATION IN NON-CLASSIC CASES: NON-SELF ADJOINT WITH NON-LOCAL AND NON-PERIODIC BOUNDARY CONDITIONS

Author(s)

JAHANSHAHI MOHAMMAD | AHMADKHANLU ASGHAR | Issue Writer Certificate

Keywords

WAVE EQUATION

NON-LOCAL & NON-PERIODIC BOUNDARY CONDITIONS

ASYMPTOTIC EXPANSION

Abstract

In this paper the WAVE EQUATION in some non-classic cases has been studied. In the first case boundary conditions are non-local and non- periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But in the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers, in which two cases, the solutions of the problem are constructed by the Fourier method. By compatibility conditions and ASYMPTOTIC EXPANSIONs of the Fourier coefficients, the convergence of series solutions are proved.Finally, series solutions are established and the uniqueness of the solution is proved by a special way which has not been used in classic texts.

Cites

References

Cite

APA: Copy

JAHANSHAHI, MOHAMMAD, & AHMADKHANLU, ASGHAR. (2014). THE WAVE EQUATION IN NON-CLASSIC CASES: NON-SELF ADJOINT WITH NON-LOCAL AND NON-PERIODIC BOUNDARY CONDITIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 9(1), 1-12. SID. https://sid.ir/paper/310368/en

Vancouver: Copy

JAHANSHAHI MOHAMMAD, AHMADKHANLU ASGHAR. THE WAVE EQUATION IN NON-CLASSIC CASES: NON-SELF ADJOINT WITH NON-LOCAL AND NON-PERIODIC BOUNDARY CONDITIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2014;9(1):1-12. Available from: https://sid.ir/paper/310368/en

IEEE: Copy

MOHAMMAD JAHANSHAHI, and ASGHAR AHMADKHANLU, “THE WAVE EQUATION IN NON-CLASSIC CASES: NON-SELF ADJOINT WITH NON-LOCAL AND NON-PERIODIC BOUNDARY CONDITIONS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 9, no. 1, pp. 1–12, 2014, [Online]. Available: https://sid.ir/paper/310368/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops