The complete solution of some kinds of linear third order partial differential equations with three independent variables
Author
Source
Journal of Kufa for Mathematics and Computer
Issue
Vol. 2, Issue 1 (31 May. 2014), pp.82-90, 9 p.
Publisher
University of Kufa Faculty of Mathematics and Computers Science
Publication Date
2014-05-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
هدفنا في هذا البحث هو إيجاد الحل التام لبعض أنواع المعادلات التفاضلية الجزئية الخطية من الرتبة الثالثة ذات معاملات ثابتة و صيغتها العامة و باستخدام التعويض 〖Z(x,y,t)=e〗^∫▒〖u(x)dx+∫▒〖v(y)dy+∫▒w(t)dt〗〗 تحول المعادلة أعلاه إلى معادلة تفاضلية اعتيادية لا خطية من الرتبة الثانية مع ثلاث دوال مستقلة u(x), v(y) و w(t). A1 ZXXX + A2 Zyyy + A3 Zttt + A4 Zxxy + A5 Zxxt + A6 Zyyx + A7 Zyyt + A8 Zttx + A9 Ztty + A10 Zxyt + A11 Zxx + A12 Zyy + A13 Ztt + A14 Zxy + A15 Zxt + A16 Zyt + A17 Zx + A18 Zy + A19 Zt + A20 Z = 0,
Abstract EN
Our aim of this research is to find the complete solution of some kinds of linear third order partial differential equations of constant coefficients which have the general form A1 Zxxx + A2 Zyyy + A3 Zttt + A4 Zxxy +A5 Zxxt + A6 Zyyx + A7 Zyyt + A8 Zttx + A9 Ztty + A10 Zxyt + A11 Zxx + A12 Zyy + A13 Ztt + A14 Zxy + A15 Zxt + A16 Zyt +A17 Zx + A18 Zy + A19 Zt + A20 Z = 0 Where A i = 1, 2, ...
20 are constants.
By use the assumption Z (x, y, t) = e∫▒〖u (x)dx+ 〗 ∫▒〖v (xy)dy+ 〗 ∫▒〖w (t)dt 〗 will transform the above equation to the nonlinear second order ordinary differential equation with three independent functions u (x), v ( y) and w(t).
American Psychological Association (APA)
Muhsin, Layla Abd al-Jalil. 2014. The complete solution of some kinds of linear third order partial differential equations with three independent variables. Journal of Kufa for Mathematics and Computer،Vol. 2, no. 1, pp.82-90.
https://search.emarefa.net/detail/BIM-437171
Modern Language Association (MLA)
Muhsin, Layla Abd al-Jalil. The complete solution of some kinds of linear third order partial differential equations with three independent variables. Journal of Kufa for Mathematics and Computer Vol. 2, no. 1 (May. 2014), pp.82-90.
https://search.emarefa.net/detail/BIM-437171
American Medical Association (AMA)
Muhsin, Layla Abd al-Jalil. The complete solution of some kinds of linear third order partial differential equations with three independent variables. Journal of Kufa for Mathematics and Computer. 2014. Vol. 2, no. 1, pp.82-90.
https://search.emarefa.net/detail/BIM-437171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 90
Record ID
BIM-437171
