-
1
-
-
41949112904
-
Application of homotopy perturbation method to fractional IVPs
-
Abdulaziz, O., I. Hashim and S. Momani, 2008. Application of homotopy perturbation method to fractional IVPs. J. Comput. Applied Math., 216: 574-584.
-
(2008)
J. Comput. Applied Math.
, vol.216
, pp. 574-584
-
-
Abdulaziz, O.1
Hashim, I.2
Momani, S.3
-
2
-
-
33947164737
-
Fractional-order dynamical models of love
-
Ahmad, W.M. and R. El-Khazali, 2007. Fractional-order dynamical models of love. Chaos Solitons Fractals, 33: 1367-1375.
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 1367-1375
-
-
Ahmad, W.M.1
El-Khazali, R.2
-
3
-
-
55549097908
-
Numerical solution of elliptic partial differential equarions using direct and indirect radial basis function networks
-
Aminataei, A. and M.M. Mazarei, 2005. Numerical solution of elliptic partial differential equarions using direct and indirect radial basis function networks. Eur. J. Sci. Res., 2: 5-5.
-
(2005)
Eur. J. Sci. Res.
, vol.2
, pp. 5
-
-
Aminataei, A.1
Mazarei, M.M.2
-
4
-
-
54849427033
-
Numerical solution of Poisson's equation using radial basis function networks on the polar coordinate
-
Aminataei, A. and M.M. Mazarei, 2008. Numerical solution of Poisson's equation using radial basis function networks on the polar coordinate. Comput. Math. Appl., 11: 2887-2895.
-
(2008)
Comput. Math. Appl.
, vol.11
, pp. 2887-2895
-
-
Aminataei, A.1
Mazarei, M.M.2
-
5
-
-
34250215244
-
Solution of fractional differential equations by using differential transform method
-
Arikoglu, A. and I. Ozkol, 2007. Solution of fractional differential equations by using differential transform method. Chaos Solitons Fractals, 34: 1473-1481.
-
(2007)
Chaos Solitons Fractals
, vol.34
, pp. 1473-1481
-
-
Arikoglu, A.1
Ozkol, I.2
-
6
-
-
0003678617
-
-
Springer, New York, USA., ISBN-13: 9783211829134
-
Carpinteri, A. and F. Mainardi, 1997. Fractals and Fractional Calculus Continuum Mechanics. Springer, New York, USA., ISBN-13: 9783211829134, pp: 291-348.
-
(1997)
Fractals and Fractional Calculus Continuum Mechanics
, pp. 291-348
-
-
Carpinteri, A.1
Mainardi, F.2
-
7
-
-
33748901201
-
The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
-
El-Sayed, A.M.A. and M. Gaber, 2006. The Adomian decomposition method for solving partial differential equations of fractal order in finite domains. Phys. Lett. A, 359: 175-182.
-
(2006)
Phys. Lett. A
, vol.359
, pp. 175-182
-
-
El-Sayed, A.M.A.1
Gaber, M.2
-
8
-
-
84968515237
-
Scattered data interpolation: Tests of some methods
-
Franke, R., 1982. Scattered data interpolation: Tests of some methods. Math. Comput., 38: 181-200.
-
(1982)
Math. Comput.
, vol.38
, pp. 181-200
-
-
Franke, R.1
-
9
-
-
52749093169
-
Toward a new analytical method for solving nonlinear fractional differential equations
-
Ghorbani, A., 2008. Toward a new analytical method for solving nonlinear fractional differential equations. Comput. Methods Applied Mech. Eng., 197: 4173-4179.
-
(2008)
Comput. Methods Applied Mech. Eng.
, vol.197
, pp. 4173-4179
-
-
Ghorbani, A.1
-
10
-
-
0001018295
-
Multiquadric equations of topography and other irregular surfaces
-
Hardy, R.L., 1971. Multiquadric equations of topography and other irregular surfaces. J. Geophys. Res., 76: 1905-1915.
-
(1971)
J. Geophys. Res.
, vol.76
, pp. 1905-1915
-
-
Hardy, R.L.1
-
11
-
-
0025206382
-
Theory and applications of the multiquadric bi-harmonic method: 20 years of discovery
-
Hardy, R.L., 1990. Theory and applications of the multiquadric bi-harmonic method: 20 years of discovery. Comput. Math. Appl., 19: 163-208.
-
(1990)
Comput. Math. Appl.
, vol.19
, pp. 163-208
-
-
Hardy, R.L.1
-
12
-
-
56049100715
-
Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
-
Jafari, H. and S. Seifi, 2009. Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation. Commun. Nonlinear Sci. Numer. Simul., 14: 2006-2012.
-
(2009)
Commun. Nonlinear Sci. Numer. Simul.
, vol.14
, pp. 2006-2012
-
-
Jafari, H.1
Seifi, S.2
-
13
-
-
0025229330
-
Multiquadrics: A scattered data approximation scheme with applications to computational fluid-dynamics-I surface approximations and partial derivative estimates
-
Kansa, E.J., 1990. Multiquadrics: A scattered data approximation scheme with applications to computational fluid-dynamics-I surface approximations and partial derivative estimates. Comput. Math. Appl., 19: 127-145.
-
(1990)
Comput. Math. Appl.
, vol.19
, pp. 127-145
-
-
Kansa, E.J.1
-
14
-
-
0025210711
-
Multiquadrics: A scattered data approximation scheme with applications to computational fluid-dynamics-II solutions to hyperbolic, parabolic and elliptic partial differential equations
-
Kansa, E.J., 1990. Multiquadrics: A scattered data approximation scheme with applications to computational fluid-dynamics-II solutions to hyperbolic, parabolic and elliptic partial differential equations. Comput. Math. Appl., 19: 147-161.
-
(1990)
Comput. Math. Appl.
, vol.19
, pp. 147-161
-
-
Kansa, E.J.1
-
15
-
-
84966244353
-
Multivariable interpolation and conditionally positive definite functions
-
Madych, W.R. and S.A. Nelson, 1990. Multivariable interpolation and conditionally positive definite functions. II. Math. Comput, 54: 211-230.
-
(1990)
II. Math. Comput
, vol.54
, pp. 211-230
-
-
Madych, W.R.1
Nelson, S.A.2
-
16
-
-
0000172493
-
Miscellaneous error bounds for multiquadric and related interpolators
-
Madych, W.R., 1992. Miscellaneous error bounds for multiquadric and related interpolators. Comput. Math. Appl., 24: 121-138.
-
(1992)
Comput. Math. Appl.
, vol.24
, pp. 121-138
-
-
Madych, W.R.1
-
17
-
-
0035137045
-
Numerical solution of differential equations using multiquadric radial basis function networks
-
Mai-Duy, N. and T. Tran-Cong, 2001. Numerical solution of differential equations using multiquadric radial basis function networks. Neutral Networks, 14: 185-199.
-
(2001)
Neutral Networks
, vol.14
, pp. 185-199
-
-
Mai-Duy, N.1
Tran-Cong, T.2
-
18
-
-
34250122797
-
Interpolation of scatter data: Distance matrices and conditionally positive definite functions
-
Micchelli, C.A., 1986. Interpolation of scatter data: Distance matrices and conditionally positive definite functions. Constr. Approx., 2: 11-22.
-
(1986)
Constr. Approx.
, vol.2
, pp. 11-22
-
-
Micchelli, C.A.1
-
19
-
-
0003492056
-
-
1st Edn., John Wiley and Sons Inc., New York, ISBN: 0471588849
-
Miller, K.S. and B. Ross, 1993. An Introduction to The Fractional Calculus and Fractional Differential Equations. 1st Edn., John Wiley and Sons Inc., New York, ISBN: 0471588849, Pages: 384.
-
(1993)
An Introduction to The Fractional Calculus and Fractional Differential Equations
, pp. 384
-
-
Miller, K.S.1
Ross, B.2
-
20
-
-
33744981446
-
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
-
Momani, S. and Z. Odibat, 2006. Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method. Applied Math. Comput., 177: 488-494.
-
(2006)
Applied Math. Comput.
, vol.177
, pp. 488-494
-
-
Momani, S.1
Odibat, Z.2
-
21
-
-
34748865972
-
Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
-
Momani, S. and Z. Odibat, 2007. Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations. Comput. Math. Appl., 54: 910-919.
-
(2007)
Comput. Math. Appl.
, vol.54
, pp. 910-919
-
-
Momani, S.1
Odibat, Z.2
-
22
-
-
33748425302
-
Numerical comparison of methods for solving linear differential equations of fractional order
-
Momani, S. and Z. Odibat, 2007. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos Solitons Fractals, 31: 1248-1255.
-
(2007)
Chaos Solitons Fractals
, vol.31
, pp. 1248-1255
-
-
Momani, S.1
Odibat, Z.2
-
23
-
-
47849126401
-
A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
-
Momani, S. and Z. Odibat, 2008. A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula. J. Comput. Applied Math., 220: 85-95.
-
(2008)
J. Comput. Applied Math.
, vol.220
, pp. 85-95
-
-
Momani, S.1
Odibat, Z.2
-
24
-
-
24144494623
-
An explicit and numerical solutions of the fractional KdV equation
-
Momani, S., 2005. An explicit and numerical solutions of the fractional KdV equation. Math. Comput. Simul., 70: 110-118.
-
(2005)
Math. Comput. Simul.
, vol.70
, pp. 110-118
-
-
Momani, S.1
-
25
-
-
35349007529
-
Generalized differential transform method for solving a space-and time-fractional diffusion-wave equation
-
Momani, S., Z. Odibat and V.S. Erturk, 2007. Generalized differential transform method for solving a space-and time-fractional diffusion-wave equation. Phys. Lett. A, 370: 379-387.
-
(2007)
Phys. Lett. A
, vol.370
, pp. 379-387
-
-
Momani, S.1
Odibat, Z.2
Erturk, V.S.3
-
26
-
-
0003593401
-
-
Elsevier Academic Press, New York and London, ISBN-13: 9780125255509
-
Oldham, K.B. and J. Spanier, 1974. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order. Elsevier Academic Press, New York and London, ISBN-13: 9780125255509, Pages: 234.
-
(1974)
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
, pp. 234
-
-
Oldham, K.B.1
Spanier, J.2
-
29
-
-
0021424253
-
Linear approximation of transfer function with a pole of fractional power
-
Sun, H.H., A.A. Abdelwahab and B. Onaral, 1984. Linear approximation of transfer function with a pole of fractional power. IEEE Trans. Automat. Control, 29: 441-444.
-
(1984)
IEEE Trans. Automat. Control
, vol.29
, pp. 441-444
-
-
Sun, H.H.1
Abdelwahab, A.A.2
Onaral, B.3
-
30
-
-
57349141862
-
On the numerical solution of neutral delay differential equations using multiquadric approximation scheme
-
Vanani, S.K. and A. Aminataei, 2008. On the numerical solution of neutral delay differential equations using multiquadric approximation scheme. Bull. Korean Math. Soc., 45: 663-670.
-
(2008)
Bull. Korean Math. Soc.
, vol.45
, pp. 663-670
-
-
Vanani, S.K.1
Aminataei, A.2
-
31
-
-
55549132926
-
Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type
-
Vanani, S.K. and A. Aminataei, 2009. Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type. Math. Comput. Modell., 49: 234-241.
-
(2009)
Math. Comput. Modell.
, vol.49
, pp. 234-241
-
-
Vanani, S.K.1
Aminataei, A.2
-
32
-
-
79960988872
-
Tau approximate solution of fractional partial differential equations
-
Vanani, S.K. and A. Aminataei, 2011. Tau approximate solution of fractional partial differential equations. Comput. Math. Appl., 62: 1075-1083.
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 1075-1083
-
-
Vanani, S.K.1
Aminataei, A.2
-
33
-
-
78751609147
-
Numerical solution of differential algebraic equations using multiquadric approximation scheme
-
Vanani, S.K. and A. Aminataei, 2011. Numerical solution of differential algebraic equations using multiquadric approximation scheme. Math. Comput. Modell., 53: 659-666.
-
(2011)
Math. Comput. Modell.
, vol.53
, pp. 659-666
-
-
Vanani, S.K.1
Aminataei, A.2
-
34
-
-
0032529187
-
A numerical method for heat transfer problems using collocation and radial basis functions
-
Zerroukut, M., H. Power and C.S. Chen, 1998. A numerical method for heat transfer problems using collocation and radial basis functions. Int. J. Numer. Math. Eng., 42: 1263-1278.
-
(1998)
Int. J. Numer. Math. Eng.
, vol.42
, pp. 1263-1278
-
-
Zerroukut, M.1
Power, H.2
Chen, C.S.3
|