-
5
-
-
44149096688
-
Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
-
Doha EH, Bhrawy AH: Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Appl. Numer. Math 2008, 58: 1224–1244. 10.1016/j.apnum.2007.07.001 DOI: 10.1016/j.apnum.2007.07.001
-
(2008)
Appl. Numer. Math
, vol.58
, pp. 1224-1244
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
6
-
-
84864281487
-
An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method
-
Doha EH, Bhrawy AH: An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method. Comput. Math. Appl 2012, 64: 558–571. 10.1016/j.camwa.2011.12.050 DOI: 10.1016/j.camwa.2011.12.050
-
(2012)
Comput. Math. Appl
, vol.64
, pp. 558-571
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
7
-
-
84858132667
-
An extension of the Legendre-Galerkin method for solving sixth-order differential equations with variable polynomial coefficients
-
Bhrawy AH, Alofi AS, El-Soubhy SI: An extension of the Legendre-Galerkin method for solving sixth-order differential equations with variable polynomial coefficients. Math. Problems Eng 2012, 2012(896575):13. 10.1155/2012/896575
-
(2012)
Math. Problems Eng
, vol.2012
, pp. 13
-
-
Bhrawy, A.H.1
Alofi, A.S.2
El-Soubhy, S.I.3
-
8
-
-
80052684621
-
Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems
-
Bhrawy AH, Alofi AS, El-Soubhy SI: Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems. Abstract Appl. Anal 2011, 2011(823273):14. 10.1155/2011/823273
-
(2011)
Abstract Appl. Anal
, vol.2011
, pp. 14
-
-
Bhrawy, A.H.1
Alofi, A.S.2
El-Soubhy, S.I.3
-
9
-
-
79960555480
-
Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
-
Doha EH, Bhrawy AH, Ezz-Eldien SS: Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. Appl. Math. Modell 2011, 35: 5662–5672. 10.1016/j.apm.2011.05.011 DOI: 10.1016/j.apm.2011.05.011
-
(2011)
Appl. Math. Modell
, vol.35
, pp. 5662-5672
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
10
-
-
74249095517
-
A new operational matrix for solving fractional-order differential equations
-
Saadatmandi A, Dehghan M: A new operational matrix for solving fractional-order differential equations. Comput. Math. Appl 2010, 59: 1326–1336. 10.1016/j.camwa.2009.07.006 DOI: 10.1016/j.camwa.2009.07.006
-
(2010)
Comput. Math. Appl
, vol.59
, pp. 1326-1336
-
-
Saadatmandi, A.1
Dehghan, M.2
-
11
-
-
79961013964
-
Numerical solution of fractional differential equations using the generalized block pulse operational matrix
-
Li Y, Sun N: Numerical solution of fractional differential equations using the generalized block pulse operational matrix. Comput. Math. Appl 2011, 62: 1046–1054. 10.1016/j.camwa.2011.03.032 DOI: 10.1016/j.camwa.2011.03.032
-
(2011)
Comput. Math. Appl
, vol.62
, pp. 1046-1054
-
-
Li, Y.1
Sun, N.2
-
12
-
-
79961168894
-
A quadrature tau method for fractional differential equations with variable coefficients
-
Bhrawy AH, Alofi AS, Ezz-Eldien SS: A quadrature tau method for fractional differential equations with variable coefficients. Appl. Math. Lett 2011, 24: 2146–2152. 10.1016/j.aml.2011.06.016 DOI: 10.1016/j.aml.2011.06.016
-
(2011)
Appl. Math. Lett
, vol.24
, pp. 2146-2152
-
-
Bhrawy, A.H.1
Alofi, A.S.2
Ezz-Eldien, S.S.3
-
13
-
-
84864987975
-
A shifted Legendre spectral method for fractional-order multi-point boundary value problems
-
Bhrawy AH, Al-Shomrani MM: A shifted Legendre spectral method for fractional-order multi-point boundary value problems. Adv. Difference Equations 2012, 2012: 8. 10.1186/1687-1847-2012-8 DOI: 10.1186/1687-1847-2012-8
-
(2012)
Adv. Difference Equations
, vol.2012
, pp. 8
-
-
Bhrawy, A.H.1
Al-Shomrani, M.M.2
-
14
-
-
0013194108
-
Spectral Laguerre method for the approximate solution of time dependent problems
-
Mikhailenko BG: Spectral Laguerre method for the approximate solution of time dependent problems. Appl. Mathematics Lett 1999, 12: 105–110. 10.1016/S0893-9659(99)00043-9 DOI: 10.1016/S0893-9659(99)00043-9
-
(1999)
Appl. Mathematics Lett
, vol.12
, pp. 105-110
-
-
Mikhailenko, B.G.1
-
15
-
-
31944434650
-
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
-
Guo B-Y, Wang L-L: Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. J. Comput. Appl. Math 2006, 190: 304–324. 10.1016/j.cam.2004.11.053 DOI: 10.1016/j.cam.2004.11.053
-
(2006)
J. Comput. Appl. Math
, vol.190
, pp. 304-324
-
-
Guo, B.-Y.1
Wang, L.-L.2
-
17
-
-
0034369460
-
Laguerre-Galerkin method for nonlinear partial differential on a semi-infinite interval
-
Guo B-Y, Shen J: Laguerre-Galerkin method for nonlinear partial differential on a semi-infinite interval. Numer. Math 2000, 86: 635–654. 10.1007/PL00005413 DOI: 10.1007/PL00005413
-
(2000)
Numer. Math
, vol.86
, pp. 635-654
-
-
Guo, B.-Y.1
Shen, J.2
-
18
-
-
23044533740
-
Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
-
Mastroianni G, Occorsio D: Lagrange interpolation at Laguerre zeros in some weighted uniform spaces. Acta. Math. Hungar 2001, 91: 27–52. 10.1023/A:1010678709857 DOI: 10.1023/A:1010678709857
-
(2001)
Acta. Math. Hungar
, vol.91
, pp. 27-52
-
-
Mastroianni, G.1
Occorsio, D.2
-
19
-
-
79952361145
-
Laguerre polynomial approach for solving linear delay difference equations
-
Gulsu M, Gurbuz B, Ozturk Y, Sezer M: Laguerre polynomial approach for solving linear delay difference equations. Appl. Mathematics Comput 2011, 217: 6765–6776. 10.1016/j.amc.2011.01.112 DOI: 10.1016/j.amc.2011.01.112
-
(2011)
Appl. Mathematics Comput
, vol.217
, pp. 6765-6776
-
-
Gulsu, M.1
Gurbuz, B.2
Ozturk, Y.3
Sezer, M.4
-
20
-
-
80052270048
-
A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
-
Doha EH, Bhrawy AH, Ezz-Eldien SS: A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. Comput. Math. Appl 2011, 62: 2364–2373. 10.1016/j.camwa.2011.07.024 DOI: 10.1016/j.camwa.2011.07.024
-
(2011)
Comput. Math. Appl
, vol.62
, pp. 2364-2373
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
21
-
-
84861893481
-
A new Jacobi operational matrix: an application for solving fractional differential equations
-
Doha EH, Bhrawy AH, Ezz-Eldien SS: A new Jacobi operational matrix: an application for solving fractional differential equations. Appl. Math. Modell 2012, 36: 4931–4943. 10.1016/j.apm.2011.12.031 DOI: 10.1016/j.apm.2011.12.031
-
(2012)
Appl. Math. Modell
, vol.36
, pp. 4931-4943
-
-
Doha, E.H.1
Bhrawy, A.H.2
Ezz-Eldien, S.S.3
-
22
-
-
80054762056
-
Solution of Lane-Emden type equations using Bernstein operational matrix of differentiation
-
Pandey RK, Kumar N: Solution of Lane-Emden type equations using Bernstein operational matrix of differentiation. New Astron 2012, 17: 303–308. 10.1016/j.newast.2011.09.005 DOI: 10.1016/j.newast.2011.09.005
-
(2012)
New Astron
, vol.17
, pp. 303-308
-
-
Pandey, R.K.1
Kumar, N.2
-
23
-
-
79961027579
-
Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
-
Maleknejad K, Hashemizadeh E, Basirat B: Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations. Commun Nonlinear Sci Numer Simulat 2012, 17: 52–61. 10.1016/j.cnsns.2011.04.023 DOI: 10.1016/j.cnsns.2011.04.023
-
(2012)
Commun Nonlinear Sci Numer Simulat
, vol.17
, pp. 52-61
-
-
Maleknejad, K.1
Hashemizadeh, E.2
Basirat, B.3
-
24
-
-
84855196841
-
A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
-
Maleknejad K, Basirat B, Hashemizadeh E: A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations. Math. Comput. Modell 2012, 55: 1363–1372. 10.1016/j.mcm.2011.10.015 DOI: 10.1016/j.mcm.2011.10.015
-
(2012)
Math. Comput. Modell
, vol.55
, pp. 1363-1372
-
-
Maleknejad, K.1
Basirat, B.2
Hashemizadeh, E.3
-
25
-
-
80053385266
-
The construction of operational matrix of fractional derivatives using B-spline functions
-
Lakestani M, Dehghan M, Irandoust-pakchin S: The construction of operational matrix of fractional derivatives using B-spline functions. Commun Nonlinear Sci Numer Simulat 2012, 17: 1149–1162. 10.1016/j.cnsns.2011.07.018 DOI: 10.1016/j.cnsns.2011.07.018
-
(2012)
Commun Nonlinear Sci Numer Simulat
, vol.17
, pp. 1149-1162
-
-
Lakestani, M.1
Dehghan, M.2
Irandoust-pakchin, S.3
-
26
-
-
84866046515
-
The operational matrix of fractional integration for shifted Chebyshev polynomials
-
Bhrawy AH, Alofi AS: The operational matrix of fractional integration for shifted Chebyshev polynomials. Appl. Math. Lett 2013, 26: 25–31. 10.1016/j.aml.2012.01.027 DOI: 10.1016/j.aml.2012.01.027
-
(2013)
Appl. Math. Lett
, vol.26
, pp. 25-31
-
-
Bhrawy, A.H.1
Alofi, A.S.2
-
27
-
-
0020093063
-
Parameter identification via Laguerre polynomials
-
Hwang C, Shih YP: Parameter identification via Laguerre polynomials. Int. J. Syst. Sci 1982, 13: 209–217. 10.1080/00207728208926341 DOI: 10.1080/00207728208926341
-
(1982)
Int. J. Syst. Sci
, vol.13
, pp. 209-217
-
-
Hwang, C.1
Shih, Y.P.2
-
28
-
-
0020802565
-
Chebyshev series approach to system identification, analysis and control
-
Paraskevopoulos PN: Chebyshev series approach to system identification, analysis and control. J. Franklin Inst 1983, 316: 135–157. 10.1016/0016-0032(83)90082-0 DOI: 10.1016/0016-0032(83)90082-0
-
(1983)
J. Franklin Inst
, vol.316
, pp. 135-157
-
-
Paraskevopoulos, P.N.1
-
29
-
-
0022080184
-
Legendre series approach to identification and analysis of linear systems
-
Paraskevopoulos PN: Legendre series approach to identification and analysis of linear systems. IEEE Trans. Autom. Control 1985, 30: 585–589. 10.1109/TAC.1985.1103992 DOI: 10.1109/TAC.1985.1103992
-
(1985)
IEEE Trans. Autom. Control
, vol.30
, pp. 585-589
-
-
Paraskevopoulos, P.N.1
-
30
-
-
0025592184
-
The operational matrix of integration for Bessel functions
-
Paraskevopoulos PN, Sklavounos P, Georgiou GCh: The operational matrix of integration for Bessel functions. J. Franklin Inst 1990, 327: 329–341. 10.1016/0016-0032(90)90026-F DOI: 10.1016/0016-0032(90)90026-F
-
(1990)
J. Franklin Inst
, vol.327
, pp. 329-341
-
-
Paraskevopoulos, P.N.1
Sklavounos, P.2
Georgiou, G.C.3
-
31
-
-
70449394642
-
Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals
-
Doha EH, Ahmed HM, El-Soubhy SI: Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals. Integral Transforms and Special Functions 2009, 20: 491–503. 10.1080/10652460802030672 DOI: 10.1080/10652460802030672
-
(2009)
Integral Transforms and Special Functions
, vol.20
, pp. 491-503
-
-
Doha, E.H.1
Ahmed, H.M.2
El-Soubhy, S.I.3
-
32
-
-
77950970934
-
The Bernstein operational matrix of integration
-
Singh AK, Singh VK, Singh OP: The Bernstein operational matrix of integration. Appl. Math. Sciences 2009, 3(49):2427–2436.
-
(2009)
Appl. Math. Sciences
, vol.3
, Issue.49
, pp. 2427-2436
-
-
Singh, A.K.1
Singh, V.K.2
Singh, O.P.3
-
33
-
-
78650516844
-
Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
-
Doha EH, Bhrawy AH, Saker MA: Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations. Appl. Math. Lett 2011, 24: 559–565. 10.1016/j.aml.2010.11.013 DOI: 10.1016/j.aml.2010.11.013
-
(2011)
Appl. Math. Lett
, vol.24
, pp. 559-565
-
-
Doha, E.H.1
Bhrawy, A.H.2
Saker, M.A.3
|