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On the solutions of some boundary value problems by using differential transformation method with convolution terms
Author(s) -
Adem Kılıçman,
Ömer Altun
Publication year - 2012
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1205917k
Subject(s) - mathematics , convolution (computer science) , mathematical analysis , boundary value problem , transformation (genetics) , singularity , differential operator , computer science , biochemistry , chemistry , machine learning , artificial neural network , gene
Inthisstudy,weconsidersomeboundaryvalueproblemsbyusingthedifferentialtransformation method with convolutions term. Further, we also propose a new method to solve the differential equations having singularity by using the convolution. In this new method when the operator has some singularities then we multiply the partial differential operator with continuously differential functions by using the convolution in order to regularize the singularity. Then the differential transform method will be applied to the new partial differential equations that might also have some fractional order.

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