TY - GEN
T1 - Analytical treatment of system of linear and nonlinear PDEs by homotopy-perturbation method
AU - Chowdhury, M. S.H.
AU - Hashim, I.
AU - Ismail, A. F.
PY - 2010
Y1 - 2010
N2 - In this paper, the homotopyperturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial differential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the efficiency of HPM.
AB - In this paper, the homotopyperturbation method (HPM) is employed to obtain approximate analytical solution to the linear and nonlinear systems of partial differential equations (PDEs). HPM yields solutions in convergent series forms with easily computable terms. Generally, the closed form of the exact solution or its expansion is obtained without any noise terms. Test examples demonstrate the efficiency of HPM.
KW - Homotopy-perturbation method
KW - Linear system of PDEs
KW - Nonlinear system of PDEs
UR - https://www.scopus.com/pages/publications/79959840156
M3 - Conference contribution
AN - SCOPUS:79959840156
SN - 9789881821089
T3 - WCE 2010 - World Congress on Engineering 2010
SP - 1860
EP - 1863
BT - WCE 2010 - World Congress on Engineering 2010
T2 - World Congress on Engineering 2010, WCE 2010
Y2 - 30 June 2010 through 2 July 2010
ER -