Solution of second order partial differential equations with variable coefficients
Other Title(s)
حل المعادلات التفاضلية الجزئية من الرتبة الثابتة ذات المعاملات المتغيرة
Joint Authors
Muhammad, Ali Hasan
Nimah, Muhammad Mundhir
Source
Journal of Kufa for Mathematics and Computer
Issue
Vol. 2, Issue 1 (31 May. 2014), pp.1-5, 5 p.
Publisher
University of Kufa Faculty of Mathematics and Computers Science
Publication Date
2014-05-31
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Topics
Abstract AR
الهدف من هذا البحث هو حل المعادلات التفاضلية الجزئية من الرتبة الثانية ذات المعاملات المتغيرة التي صيغتها العامة : F1(x,y)ZXX + F2(x,y)Zxy + F3(x,y)Zyy + F4(x,y)Zx + F5(x,y) + F6(x,y) Z = 0 حيث إن F6(x,y), F5(x,y), F4(x,y), F3(x,y), F2(x,y), F1(x,Y) دوال بالمتغيرين x و y. الذي Z(x,y)= e∫▒〖xU(x)dx+∫▒v(y)dy〗 باستخدام التعويض يحول المعادلات التفاضلية الجزئية من الرتبة الثانية إلى معادلات تفاضلية اعتيادية خطية من الرتبة الأولى بالدالتين المستقلتين U(X) و V(y).
Abstract EN
Our aim in this paper is to solve some special types of second order partial differential equations with variable coefficients and the general form : F1 (x, y) Zxx + F2 (x, y) Zxy + F3 (x, y) Zyy + F4 (x, y) Zx + F5 (x, y) Zy + F5 (x, y) Z = 0 Such that F1 (x, y), F2 (x, y), F3 (x, y), F4 (x, y), and F5 (x, y) are functions of X and y, by using the assumption Z (x, y) = e∫▒〖xU (x)dx 〗 + ∫▒〖v (y)dy 〗This assumption will transforms the second order partial differential equations to first order linear ordinary differential equations with two independent functions U (x) andV (y).
American Psychological Association (APA)
Muhammad, Ali Hasan& Nimah, Muhammad Mundhir. 2014. Solution of second order partial differential equations with variable coefficients. Journal of Kufa for Mathematics and Computer،Vol. 2, no. 1, pp.1-5.
https://search.emarefa.net/detail/BIM-436875
Modern Language Association (MLA)
Muhammad, Ali Hasan& Nimah, Muhammad Mundhir. Solution of second order partial differential equations with variable coefficients. Journal of Kufa for Mathematics and Computer Vol. 2, no. 1 (May. 2014), pp.1-5.
https://search.emarefa.net/detail/BIM-436875
American Medical Association (AMA)
Muhammad, Ali Hasan& Nimah, Muhammad Mundhir. Solution of second order partial differential equations with variable coefficients. Journal of Kufa for Mathematics and Computer. 2014. Vol. 2, no. 1, pp.1-5.
https://search.emarefa.net/detail/BIM-436875
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 5
Record ID
BIM-436875
