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Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
被引:108
作者
:
Daftardar-Gejji, Varsha
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Daftardar-Gejji, Varsha
[
1
]
Bhalekar, Sachin
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Bhalekar, Sachin
[
1
]
机构
:
[1]
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
来源
:
APPLIED MATHEMATICS AND COMPUTATION
|
2008年
/ 202卷
/ 01期
关键词
:
Caputo derivative;
fractional boundary value problems;
Mittag-Leffler function;
Adomian decomposition;
Adomian polynomials;
D O I
:
10.1016/j.amc.2008.01.027
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
Multi-term linear and non-linear diffusion-wave equations of fractional order are solved using Adomian decomposition method. Some numerical examples are presented. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:113 / 120
页数:8
相关论文
共 23 条
[1]
Adomian G., 1994, SOLVING FRONTIER PRO
[2]
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Babolian, E
;
Goghary, HS
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Goghary, HS
;
Abbasbandy, S
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Abbasbandy, S
.
APPLIED MATHEMATICS AND COMPUTATION,
2005,
161
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:733
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[3]
Solution of a system of nonlinear equations by Adomian decomposition method
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Babolian, E
;
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Biazar, J
;
Vahidi, AR
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Vahidi, AR
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APPLIED MATHEMATICS AND COMPUTATION,
2004,
150
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Numerically solution of fuzzy differential equations by Adomian method
[J].
Babolian, E
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0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Babolian, E
;
Sadeghi, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Sadeghi, H
;
Javadi, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Javadi, S
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
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[5]
The decomposition method applied to systems of Fredholm integral equations of the second kind
[J].
Babolian, E
论文数:
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0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Babolian, E
;
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Biazar, J
;
Vahidi, AR
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Vahidi, AR
.
APPLIED MATHEMATICS AND COMPUTATION,
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Solution of systems of integral-differential equations by Adomian decomposition method
[J].
Biazar, J
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0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
Biazar, J
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APPLIED MATHEMATICS AND COMPUTATION,
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Solution of the system of ordinary differential equations by Adomian decomposition method
[J].
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Biazar, J
;
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Babolian, E
;
Islam, R
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Islam, R
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
147
(03)
:713
-719
[8]
Solution of a system of Volterra integral equations of the first kind by Adomian method
[J].
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Biazar, J
;
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Babolian, E
;
Islam, R
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Islam, R
.
APPLIED MATHEMATICS AND COMPUTATION,
2003,
139
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[9]
Adomian decomposition: a tool for solving a system of fractional differential equations
[J].
Daftardar-Gejji, V
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Daftardar-Gejji, V
;
Jafari, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Jafari, H
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2005,
301
(02)
:508
-518
[10]
Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
[J].
Jafari, Hossein
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Jafari, Hossein
;
Daftardar-Gejji, Varsha
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Daftardar-Gejji, Varsha
.
APPLIED MATHEMATICS AND COMPUTATION,
2006,
180
(02)
:700
-706
←
1
2
3
→
共 23 条
[1]
Adomian G., 1994, SOLVING FRONTIER PRO
[2]
Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Babolian, E
;
Goghary, HS
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Goghary, HS
;
Abbasbandy, S
论文数:
0
引用数:
0
h-index:
0
机构:
Azad Univ, Dept Math, Kerman Branch, Kerman, Iran
Abbasbandy, S
.
APPLIED MATHEMATICS AND COMPUTATION,
2005,
161
(03)
:733
-744
[3]
Solution of a system of nonlinear equations by Adomian decomposition method
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Babolian, E
;
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Biazar, J
;
Vahidi, AR
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Shahr E Branch, Tehran, Iran
Vahidi, AR
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
150
(03)
:847
-854
[4]
Numerically solution of fuzzy differential equations by Adomian method
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Babolian, E
;
Sadeghi, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Sadeghi, H
;
Javadi, S
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Teacher Educ, Fac Math Sci & Comp Engn, Tehran 15614, Iran
Javadi, S
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
149
(02)
:547
-557
[5]
The decomposition method applied to systems of Fredholm integral equations of the second kind
[J].
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Babolian, E
;
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Biazar, J
;
Vahidi, AR
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Dept Math, Rasht, Iran
Vahidi, AR
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
148
(02)
:443
-452
[6]
Solution of systems of integral-differential equations by Adomian decomposition method
[J].
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
Islamic Azad Univ, Dept Math, Rasht Branch, Rasht, Iran
Biazar, J
.
APPLIED MATHEMATICS AND COMPUTATION,
2005,
168
(02)
:1232
-1238
[7]
Solution of the system of ordinary differential equations by Adomian decomposition method
[J].
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Biazar, J
;
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Babolian, E
;
Islam, R
论文数:
0
引用数:
0
h-index:
0
机构:
Guilan Univ, Rasht, Iran
Islam, R
.
APPLIED MATHEMATICS AND COMPUTATION,
2004,
147
(03)
:713
-719
[8]
Solution of a system of Volterra integral equations of the first kind by Adomian method
[J].
Biazar, J
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Biazar, J
;
Babolian, E
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Babolian, E
;
Islam, R
论文数:
0
引用数:
0
h-index:
0
机构:
Dalhousie Univ, Fac Engn, Halifax, NS B3J 2X4, Canada
Islam, R
.
APPLIED MATHEMATICS AND COMPUTATION,
2003,
139
(2-3)
:249
-258
[9]
Adomian decomposition: a tool for solving a system of fractional differential equations
[J].
Daftardar-Gejji, V
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Daftardar-Gejji, V
;
Jafari, H
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Jafari, H
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2005,
301
(02)
:508
-518
[10]
Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
[J].
Jafari, Hossein
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Jafari, Hossein
;
Daftardar-Gejji, Varsha
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Univ Poona, Dept Math, Pune 411007, Maharashtra, India
Daftardar-Gejji, Varsha
.
APPLIED MATHEMATICS AND COMPUTATION,
2006,
180
(02)
:700
-706
←
1
2
3
→