Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions

Yıl 2016, Cilt: 4 Sayı: 4, 198 - 212, 31.12.2016

Murat Gubes Galip Oturanc

Öz

In this paper, we present a new approximate solutions
of famous coupled Ramani Equation. In order to obtain the solution, we use the
semi-analytical methods differential transform method (DTM) and reduced form of
DTM called reduced differential transform method (RDTM). We compare the RDTM
solutions with exact solution and DTM. Numerical results show clearly that DTM
and RDTM are very effective and also provide very accurate solutions. Also, one
can conclude that RDTM is used easier than DTM and converges faster than the
DTM for these kind of problems.

Anahtar Kelimeler

Reduced differential transform method (RDTM), differential transform method (DTM), coupled ramani equation

Kaynakça

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