Wannika SawangtongPanumart SawangtongKing Mongkut's University of Technology North BangkokThailand Ministry of EducationMahidol University2020-01-272020-01-272019-12-01Advances in Difference Equations. Vol.2019, No.1 (2019)16871847168718392-s2.0-85073349128https://repository.li.mahidol.ac.th/handle/20.500.14594/51196© 2019, The Author(s). 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.Mahidol UniversityMathematicsArticleSCOPUS10.1186/s13662-019-2350-7