ORIGINAL_ARTICLE
SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD
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
2010-07-01T11:23:20
2018-02-21T11:23:20
162
172
KLEIN-GORDON
Homotopy analysis method
Adomian decomposition method
partial differential equation
Homotopy perturbation method
H.
Jafari
jafari@umz.ac.ir
true
1
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.
LEAD_AUTHOR
M.
Saeidy
true
2
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.
AUTHOR
M.
Arab Firoozjaee
true
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.
AUTHOR
ORIGINAL_ARTICLE
APPLICATION OF EXP-FUNCTION METHOD TO THE (2+1)-DIMENSIONAL CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
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
2010-07-01T11:23:20
2018-02-21T11:23:20
174
193
EXP-FUNCTION METHOD
CALOGERO BOGOYAVLANSKII SCHIFF EQUATION
partial differential equation
Z.
AYATI
true
1
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
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
AUTHOR
J.
BIAZAR
biazar@guilan.ac.ir
true
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
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCES, UNIVERSITY OF GUILAN, P.C. 41938, RASHT, IRAN
LEAD_AUTHOR
ORIGINAL_ARTICLE
DECOMPOSITION METHOD FOR SOLVING FULLY FUZZY LINEAR SYSTEMS
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
2010-07-01T11:23:20
2018-02-21T11:23:20
194
204
SYMMETRIC AND TRIANGULAR DECOMPOSITION
Fuzzy System
SYMMETRIC POSITIVE DEFINITE AND TRIANGULAR DECOMPOSITION
M.
MOSLEH
true
1
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
AUTHOR
M.
OTADI
mahmood_otadi@yahoo.com
true
2
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
Department of mathematics, Islamic Azad University,Kermanshah Branch,kermanshah,Iran
LEAD_AUTHOR
A.
KHANMIRZAIE
true
3
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
Department of mathematics, Islamic Azad University,Firuozkooh Branch,Firuozkooh,Iran
AUTHOR