Abstract: Here,Adomian decomposition (ADM) method has been used for finding approximate and numer- ical solutions of nonlinear differential difference equations arising in mathematical physics.Two models of special interst in physics,namely, the Hybrid nonlinear differential difference equation and Relativistic Toda coupled nonlinear differential-difference equation are chosen to illustrate the validity and the great potential of the proposed method.Comparisons are made between the results of the proposed method and exact solu- tions. It is worthwile to mention that the Adomian decomposition method is also easy to be applied to other nonlinear differential difference equation arising in physics.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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