Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
2
2010
07
01
SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
162
172
EN
H.
Jafari
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
jafari@umz.ac.ir
M.
Saeidy
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
M.
Arab Firoozjaee
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
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.
KLEIN-GORDON,Homotopy analysis method,Adomian decomposition method,partial differential equation,Homotopy perturbation method
http://ijo.iaurasht.ac.ir/article_513246.html
http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
2
2010
07
01
APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
174
193
EN
Z.
AYATI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
J.
BIAZAR
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
biazar@guilan.ac.ir
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.
EXP-FUNCTION METHOD,CALOGERO BOGOYAVLANSKII SCHIFF EQUATION,partial differential equation
http://ijo.iaurasht.ac.ir/article_513247.html
http://ijo.iaurasht.ac.ir/article_513247_bcd484fddc550beff06d3b14ac752513.pdf
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
02
2
2010
07
01
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
194
204
EN
M.
MOSLEH
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
M.
OTADI
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
mahmood_otadi@yahoo.com
A.
KHANMIRZAIE
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
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.
SYMMETRIC AND TRIANGULAR DECOMPOSITION,Fuzzy System,SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION
http://ijo.iaurasht.ac.ir/article_513248.html
http://ijo.iaurasht.ac.ir/article_513248_291741359f21a9d070a568157cb45eae.pdf