Application of Differential Transformation Method to the Dullin-Gottwald-Holm equation

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 197

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شناسه ملی سند علمی:

JR_MACO-3-1_003

تاریخ نمایه سازی: 11 مرداد 1401

چکیده مقاله:

‎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 ۲ 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.

نویسندگان

Bahman Babayar-Razlighi

Department of Mathematics, Qom University of Technology, Qom, Iran

Babak Soltanalizadeh

Department of Biostatistics and Data Science, UT Health Science Center at Houston, Houston, TX, USA

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