Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
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2022
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Application of Differential Transformation Method to the Dullin-Gottwald-Holm equation
Applied Mathematics
Applied Mathematics
پژوهشي
Research Article
<pre>
‎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.</pre>
Dullin-Gottwald-Holm equation, Differential Transformation method, Spectral method.
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http://maco.lu.ac.ir/browse.php?a_code=A-10-133-1&slc_lang=en&sid=1
Bahman
Babayar-Razlighi
babayar@qut.ac.ir
`10031947532846001070`

10031947532846001070
Yes
Department of Mathematics, Qom University of Technology, Qom, Iran
Babak
Soltanalizadeh
babak.soltanalizadeh@uth.tmc.edu
`10031947532846001071`

10031947532846001071
No
Department of Biostatistics and Data Science, UT Health Science Center at Houston, Houston, TX, USA