Numerical Solution of Linear Emden Fowler Boundary Value Problem in Fuzzy Environment

被引：3
作者：
Jameel, A. F. [1 ]
Altaie, Sarmad A. [2 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia
[2] Univ Technol Baghdad, Dept Comp Engn, Baghdad, Iraq
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2015年 / 15卷 / 03期
关键词：
Fuzzy numbers; fuzzy differential equations; two point fuzzy boundary value problems; Finite difference method;
D O I：
10.22436/jmcs.015.03.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a numerical method for solving Tow Point Fuzzy Boundary Value Problems '(TPFBVP) involving linear Emden Folwer equation is considered. The finite difference method (FDM) for solving TPFBVP is introduced and the proof of convergence of approximate solutions is brought in detail. Finally a numerical example is solved for illustrating the capability of method.
引用
收藏
页码：179 / 194
页数：16
相关论文
共 26 条
[1]   Survey of utilisation of fuzzy technology in Medicine and Healthcare [J].
Abbod, MF ;
von Keyserlingk, DG ;
Linkens, DA ;
Mahfouf, M .
FUZZY SETS AND SYSTEMS, 2001, 120 (02) :331-349
[2]  
Allahviranloo T., 2011, WORLD APPL SCI J, V13, P2137
[3]  
Barro R. Marin, 2002, FUZZY LOGIC MED
[4]   TOWARDS FUZZY DIFFERENTIAL-CALCULUS .3. DIFFERENTIATION [J].
DUBOIS, D ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1982, 8 (03) :225-233
[5]   From experimental quantum optics to quantum gravity via a fuzzy Kahler manifold [J].
El Naschie, MS .
CHAOS SOLITONS & FRACTALS, 2005, 25 (05) :969-977
[6]  
Fard OS., 2009, WORLD APPL SCI J, V7, P1597
[7]   THE PATH OF CHEMICAL-REACTIONS - THE IRC APPROACH [J].
FUKUI, K .
ACCOUNTS OF CHEMICAL RESEARCH, 1981, 14 (12) :363-368
[8]  
Ghanaie ZA, 2011, J MATH COMPUT SCI-JM, V2, P208
[9]  
Ghanbari M., 2009, INT J IND MATH, V1, P19
[10]   Numeric-analytic form of the adomian decomposition method for two-point boundary value problems in nonlinear mechanics [J].
Ghosh, S. ;
Roy, D. .
JOURNAL OF ENGINEERING MECHANICS, 2007, 133 (10) :1124-1133
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