SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
H.
Jafari
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
author
M.
Saeidy
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
author
M.
Arab Firoozjaee
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
author
text
article
2010
eng
In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.
Iranian Journal of Optimization
Islamic Azad University, Rasht Branch
2008-5427
02
v.
2
no.
2010
162
172
http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdf
APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
Z.
AYATI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
author
J.
BIAZAR
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
author
text
article
2010
eng
In this paper, the Exp-function method, with the aid of a symbolic computation system such as Maple, is applied to the (2+1) -dimensional Calogero Bogoyavlanskii Schiff equation. Exact and explicit generalized solitary solutions are obtained in more general forms. The free parameters can be determined by initial or boundary conditions. The method is straightforward and concise, and its applications are promising. It is shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving Calogero Bogoyavlanskii Schiff equation.
Iranian Journal of Optimization
Islamic Azad University, Rasht Branch
2008-5427
02
v.
2
no.
2010
174
193
http://ijo.iaurasht.ac.ir/article_513247_bcd484fddc550beff06d3b14ac752513.pdf
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
M.
MOSLEH
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
author
M.
OTADI
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
author
A.
KHANMIRZAIE
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
author
text
article
2010
eng
In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.
Iranian Journal of Optimization
Islamic Azad University, Rasht Branch
2008-5427
02
v.
2
no.
2010
194
204
http://ijo.iaurasht.ac.ir/article_513248_291741359f21a9d070a568157cb45eae.pdf