eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2010-07-01
02
2
162
172
513246
SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
H. Jafari
jafari@umz.ac.ir
1
M. Saeidy
2
M. Arab Firoozjaee
3
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
Department of Mathematics and Computer Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran.
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.
http://ijo.iaurasht.ac.ir/article_513246_32ab92c829d3d613ad724936c0b6f8e3.pdf
KLEIN-GORDON
Homotopy analysis method
Adomian decomposition method
partial differential equation
Homotopy perturbation method
eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2010-07-01
02
2
174
193
513247
APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
Z. AYATI
1
J. BIAZAR
biazar@guilan.ac.ir
2
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
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.
http://ijo.iaurasht.ac.ir/article_513247_bcd484fddc550beff06d3b14ac752513.pdf
EXP-FUNCTION METHOD
CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
partial differential equation
eng
Islamic Azad University, Rasht Branch
Iranian Journal of Optimization
2588-5723
2008-5427
2010-07-01
02
2
194
204
513248
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
M. MOSLEH
1
M. OTADI
mahmood_otadi@yahoo.com
2
A. KHANMIRZAIE
3
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
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.
http://ijo.iaurasht.ac.ir/article_513248_291741359f21a9d070a568157cb45eae.pdf
SYMMETRIC AND TRIANGULAR DECOMPOSITION
Fuzzy System
SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION