"Finding the complete solution of special types of the second order partial differential equations with variable coefficients" | ||
| journal of kerbala university | ||
| Article 1, Volume 10, Issue 2, July 2014, Pages 61-69 PDF (0 K) | ||
| Authors | ||
| Ali Hassan Mohammed; Mohammed Monther Neamah Kudaer | ||
| Abstract | ||
| Our aim in this paper is to solve some kinds of partial differential equations of the second order with variable coefficients, which have the general form F_1 (x,y) Z_xx+F_2 (x,y) Z_xy+F_3 (x,y) Z_yy+F_4 (x,y) Z_x+F_5 (x,y) Z_y+F_6 (x,y)Z=0 such that F_1 (x,y),F_2 (x,y), F_3 (x,y), F_4 (x,y), F_5 (x,y) and F_6 (x,y) are functions of xand y.By using the assumptionsZ(x,y)=e^(∫▒(U(x))/x dx+∫▒〖y^n V(y)dy〗) and Z(x,y)=e^(∫▒〖U(x)〗 dx+∫▒V(y)dy) these assumptions will transform the second order partial differential equations to linear first order ordinary differential equation with two independent functions U(x) and V(y) . | ||
|
Statistics Article View: 74 PDF Download: 55 |
||