Green’s function homotopy perturbation method for the initial-boundary value problems
Keyword(s):
Abstract This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM is shown. Furthermore, some examples are presented to illustrate the validity of the proposed method and to ensure that SGHPM is a technique which is powerful and efficient for finding approximate analytic solutions of IBVPs.
2008 ◽
Vol 2008
◽
pp. 1-11
◽
2009 ◽
Vol 212
(2)
◽
pp. 366-376
◽
2016 ◽
Vol 308
◽
pp. 46-58
◽
2018 ◽
Vol 16
(1)
◽
pp. 19-43
◽
2000 ◽
Vol 54
(5-6)
◽
pp. 9-27
2001 ◽
Vol 56
(8-9)
◽
pp. 21
◽
2018 ◽
Vol 77
(18)
◽
pp. 1581-1595