TY - JOUR JF - lu-maco JO - MACO VL - 3 IS - 1 PY - 2022 Y1 - 2022/6/01 TI - Application of Differential Transformation Method to the Dullin-Gottwald-Holm equation TT - N2 - ‎Nonlinear problems in partial differential equations are open problems in many field of mathematics and engineering‎. ‎So associated with the structure of the problems‎, ‎many analytical and numerical methods are obtained‎. ‎We show that the differential transformation method is an appropriate method for the Dullin-Gottwald-Holm equation‎ (DGH), ‎which is a nonlinear partial differential equation arise in many physical phenomenon‎. ‎Hence in this paper‎, ‎the differential transform method (DTM) is applied to the Dullin-Gottwald-Holm equation‎. ‎We obtain the exact solutions of Dullin-Gottwald-Holm equation by using the DTM‎. ‎In addition‎, ‎we give some examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equations‎. ‎These results show that this technique is easy to apply and provide a suitable method for solving differential equations‎. ‎To our best knowledge‎, ‎the theorem presented in Section 2 has been not introduced previously‎. ‎We presented and proved this new theorem which can be very effective for formulating the nonlinear forms of partial differential equations‎. SP - 23 EP - 35 AU - Babayar-Razlighi, Bahman AU - Soltanalizadeh, Babak AD - Department of Mathematics, Qom University of Technology, Qom, Iran KW - Dullin-Gottwald-Holm equation KW - Differential Transformation method KW - Spectral method. UR - http://maco.lu.ac.ir/article-1-99-en.html DO - 10.52547/maco.3.1.3 ER -