Investigation of solvability conditions of certain boundary value problem by perturbation method
Author
Source
al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah
Issue
Vol. 23, Issue 1 (31 Mar. 2010), pp.54-63, 10 p.
Publisher
University of Mosul College of Education for Pure Science
Publication Date
2010-03-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Topics
Abstract AR
تم في هذا البحث دراسة شروط الحل لمعادلة تفاضلية جزئية معينة ذات شروط حدودية متجانسة تحتوي معلمة صغيرة.
هذه المسألة حلت باستخدام أسلوب التشويش.
هذا تعاملنا مع المعادلة التفاضلية الجزئية φxx + φyy + w2φ = 0 مع الشروط الحدودية φy (x, a)-φy (x, b) = 0 و φ (x, y) y = a+ɛ sin kwx –φ (x,y) y = b+ɛ sin kwx = 0 معلمة صغيرة.
طبقا لهذه الطريقة فإن الحل للمسألة يمثل بالحدود ɛ ثوابت و KW, W حيث القلية الأولى لتبسيط التشويش.
Abstract EN
In this paper we study the solvability conditions under which certain partial differential equation with homogenous boundary conditions containing small parameter has a solution by using perturbation technique.
Here we deal with the following partial differential equation ϕ xx +ϕ yy + w2ϕ = 0 with boundary conditions y (x, a)− y (x,b) = 0 ϕ ϕ and 0 sin sin − = y=a+ kwx y=b+ kwx x y x y ε ε ϕ ϕ where kw,w are constants and ε is small parameter.
According to this method, the solution of the problem is represented by the first few terms of a perturbation expansion.
American Psychological Association (APA)
Mahmud, Akram Hasan. 2010. Investigation of solvability conditions of certain boundary value problem by perturbation method. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah،Vol. 23, no. 1, pp.54-63.
https://search.emarefa.net/detail/BIM-326041
Modern Language Association (MLA)
Mahmud, Akram Hasan. Investigation of solvability conditions of certain boundary value problem by perturbation method. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah Vol. 23, no. 1 (2010), pp.54-63.
https://search.emarefa.net/detail/BIM-326041
American Medical Association (AMA)
Mahmud, Akram Hasan. Investigation of solvability conditions of certain boundary value problem by perturbation method. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah. 2010. Vol. 23, no. 1, pp.54-63.
https://search.emarefa.net/detail/BIM-326041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 63
Record ID
BIM-326041