-
5
-
-
4244163123
-
Numerical solution of nonlinear partial differential equations with the Tau method
-
Ortiz E L and Pun K S 1985 Numerical solution of nonlinear partial differential equations with the Tau method J. Comput. Appl. Math. 12/13 511
-
(1985)
J. Comput. Appl. Math.
, vol.12-13
, pp. 511
-
-
Ortiz, E.L.1
Pun, K.S.2
-
6
-
-
34250668780
-
Numerical solutions of nonlinear evolution equations using variational iteration method
-
Soliman A A and Abdou M A 2007 Numerical solutions of nonlinear evolution equations using variational iteration method J. Comput. Appl. Math. 207 111
-
(2007)
J. Comput. Appl. Math.
, vol.207
, pp. 111
-
-
Soliman, A.A.1
Abdou, M.A.2
-
7
-
-
33846929829
-
Numerical solution of evolution equations by the Haar wavelet method
-
Lepik 2007 Numerical solution of evolution equations by the Haar wavelet method Appl. Math. Comput. 185 695
-
(2007)
Appl. Math. Comput.
, vol.185
, pp. 695
-
-
Lepik1
-
8
-
-
13844320326
-
The lattice Boltzmann equation: Theory and application
-
Benzi R, Succi S and Vergassola M 1992 The lattice Boltzmann equation: theory and application Phys. Rep. 222 145
-
(1992)
Phys. Rep.
, vol.222
, pp. 145
-
-
Benzi, R.1
Succi, S.2
Vergassola, M.3
-
10
-
-
0027666930
-
Simulating thermohydrodynamics with lattice BGK models
-
Qian Y H 1993 Simulating thermohydrodynamics with lattice BGK models J. Sci. Comput. 8 231
-
(1993)
J. Sci. Comput.
, vol.8
, pp. 231
-
-
Qian, Y.H.1
-
11
-
-
0036011823
-
Lattice Bhatnagar-Gross-Krook simulation of turbulent natural convection in a cavity
-
Shi B C, Guo Z L and Wang N C 2002 Lattice Bhatnagar-Gross-Krook simulation of turbulent natural convection in a cavity Chin. Phys. Lett. 19 515
-
(2002)
Chin. Phys. Lett.
, vol.19
, pp. 515
-
-
Shi, B.C.1
Guo, Z.L.2
Wang, N.C.3
-
12
-
-
67349246261
-
Three-dimensional non-free-parameter lattice-Boltzmann model and its application to inviscid compressible flows
-
Li Q, He Y L, Wang Y and Tang G H 2009 Three-dimensional non-free-parameter lattice-Boltzmann model and its application to inviscid compressible flows Phys. Lett. A 373 2101
-
(2009)
Phys. Lett. A
, vol.373
, pp. 2101
-
-
Li, Q.1
He, Y.L.2
Wang, Y.3
Tang, G.H.4
-
13
-
-
34548358628
-
Lattice Boltzmann model for incompressible flows through porous media
-
Guo Z L and Zhao T S 2002 Lattice Boltzmann model for incompressible flows through porous media Phys. Rev. E 66 036304
-
(2002)
Phys. Rev. E.
, vol.66
, pp. 036304
-
-
Guo, Z.L.1
Zhao, T.S.2
-
14
-
-
41949108188
-
Numerical simulations of gas resonant oscillations in a closed tube using lattice Boltzmann method
-
DOI 10.1016/j.ijheatmasstransfer.2007.08.029, PII S0017931007005571
-
Wang Y, He Y L, Li Q and Tang G H 2008 Numerical simulations of gas resonant oscillations in a closed tube using lattice Boltzmann method Int. J. Heat Mass Transf. 51 3082 (Pubitemid 351514721)
-
(2008)
International Journal of Heat and Mass Transfer
, vol.51
, Issue.11-12
, pp. 3082-3090
-
-
Wang, Y.1
He, Y.L.2
Li, Q.3
Tang, G.H.4
-
15
-
-
0035538509
-
Lattice-Boltzmann Simulations of Particle-Fluid Suspensions
-
DOI 10.1023/A:1010414013942
-
Ladd A J C and Verberg R 2001 Lattice-Boltzmann simulations of particle-fluid suspensions J. Stat. Phys. 104 1191 (Pubitemid 33348950)
-
(2001)
Journal of Statistical Physics
, vol.104
, Issue.5-6
, pp. 1191-1252
-
-
Ladd, A.J.C.1
Verberg, R.2
-
16
-
-
58949094891
-
Lattice Boltzmann model for nonlinear convection-diffusion equations
-
Shi B C and Guo Z L 2009 Lattice Boltzmann model for nonlinear convection-diffusion equations Phys. Rev. E 79 016701
-
(2009)
Phys. Rev. E.
, vol.79
, pp. 016701
-
-
Shi, B.C.1
Guo, Z.L.2
-
17
-
-
64049084899
-
Lattice BGK simulations of double diffusive natural convection in a rectangular enclosure in the presences of magnetic field and heat source
-
Ma C F 2009 Lattice BGK simulations of double diffusive natural convection in a rectangular enclosure in the presences of magnetic field and heat source Nonlinear Anal.: Real World Appl. 10 2666
-
(2009)
Nonlinear Anal.: Real World Appl.
, vol.10
, pp. 2666
-
-
Ma, C.F.1
-
18
-
-
33745611776
-
Lattice Bhatnagar-Gross-Krook simulations of hydromagnetic double-diffusive convection in a rectangular enclosure with opposing temperature and concentration gradients
-
Ma C F and Shi B C 2006 Lattice Bhatnagar-Gross-Krook simulations of hydromagnetic double-diffusive convection in a rectangular enclosure with opposing temperature and concentration gradients Chin. Phys. Lett. 23 1842
-
(2006)
Chin. Phys. Lett.
, vol.23
, pp. 1842
-
-
Ma, C.F.1
Shi, B.C.2
-
19
-
-
38549133498
-
Lattice Boltzmann method for simulating MKDV equation
-
Ma C F 2007 Lattice Boltzmann method for simulating MKDV equation Chin. J. Appl. Mech. 24 519
-
(2007)
Chin. J. Appl. Mech.
, vol.24
, pp. 519
-
-
Ma, C.F.1
-
20
-
-
24644479765
-
A new lattice Boltzmann model for KdV-Burgers equation
-
Ma C F 2005 A new lattice Boltzmann model for KdV-Burgers equation Chin. Phys. Lett. 22 2313
-
(2005)
Chin. Phys. Lett.
, vol.22
, pp. 2313
-
-
Ma, C.F.1
-
21
-
-
44649186272
-
A novel lattice Boltzmann model for the Poisson equation
-
Chai Z H and Shi B C 2008 A novel lattice Boltzmann model for the Poisson equation Appl. Math. Modelling 32 2050
-
(2008)
Appl. Math. Modelling
, vol.32
, pp. 2050
-
-
Chai, Z.H.1
Shi, B.C.2
-
22
-
-
0346478347
-
A lattice Boltzmann equation for waves
-
Yan G W 2000 A lattice Boltzmann equation for waves J. Comput. Phys. 161 61
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 61
-
-
Yan, G.W.1
-
23
-
-
0032237696
-
Lattice quantum mechanics: An application to Bose-Einstein condensation
-
Succi S 1998 Lattice quantum mechanics: an application to Bose-Einstein condensation Int. J. Mod. Phys. C 9 1577 (Pubitemid 128479635)
-
(1998)
International Journal of Modern Physics C
, vol.9
, Issue.8
, pp. 1577-1585
-
-
Succi, S.1
-
25
-
-
45849107624
-
Quantum lattice Boltzmann simulation of expanding Bose-Einstein condensates in random potentials
-
Palpacelli S and Succi S 2008 Quantum lattice Boltzmann simulation of expanding Bose-Einstein condensates in random potentials Phys. Rev. E 77 066708
-
(2008)
Phys. Rev. E.
, vol.77
, pp. 066708
-
-
Palpacelli, S.1
Succi, S.2
-
26
-
-
67650873218
-
Lattice Boltzmann model for the one-dimensional nonlinear Dirac equation
-
Shi B C and Guo Z L 2009 Lattice Boltzmann model for the one-dimensional nonlinear Dirac equation Phys. Rev. E 79 066704
-
(2009)
Phys. Rev. E.
, vol.79
, pp. 066704
-
-
Shi, B.C.1
Guo, Z.L.2
-
27
-
-
0001678923
-
Non-classical symmetry reduction: Example of the Boussinesq equation
-
Levi D and Winternitz P 1989 Non-classical symmetry reduction: example of the Boussinesq equation J. Phys. A: Math. Gen. 22 2915
-
(1989)
J. Phys. A: Math. Gen.
, vol.22
, pp. 2915
-
-
Levi, D.1
Winternitz, P.2
-
29
-
-
0036833084
-
New families of solitons with compact support for Boussinesq-like B(m,n) equations with fully nonlinear dispersion
-
Yan Z Y 2003 New families of solitons with compact support for Boussinesq-like B(m,n) equations with fully nonlinear dispersion Chaos Solitons Fractals 14 1151
-
(2003)
Chaos Solitons Fractals
, vol.14
, pp. 1151
-
-
Yan, Z.Y.1
-
30
-
-
76849112018
-
New periodic solitary-wave solutions for the Benjamin-Ono equation
-
Xu Z H, Xian D Q and Chen H L 2010 New periodic solitary-wave solutions for the Benjamin-Ono equation Appl. Math. Comput. 215 4439
-
(2010)
Appl. Math. Comput.
, vol.215
, pp. 4439
-
-
Xu, Z.H.1
Xian, D.Q.2
Chen, H.L.3
-
31
-
-
0021498138
-
Banerjee. Heuristic guide to nonlinear dispersive wave equation and soliton-type solution
-
Korpel A and Banerjee P 1984 Banerjee. Heuristic guide to nonlinear dispersive wave equation and soliton-type solution Proc. IEEE 72 1109
-
(1984)
Proc. IEEE
, vol.72
, pp. 1109
-
-
Korpel, A.1
Banerjee, P.2
-
33
-
-
37449001678
-
Long-time asymptotics of solutions of the second initial-boundary value problem for the damped Boussinesq equation
-
Varlamov V 1998 Long-time asymptotics of solutions of the second initial-boundary value problem for the damped Boussinesq equation Abstr. Appl. Anal. 2 281
-
(1998)
Abstr. Appl. Anal.
, vol.2
, pp. 281
-
-
Varlamov, V.1
-
34
-
-
0001803571
-
Dynamics of classical solitons (in non-integrable systems)
-
Makhankov V G 1978 Dynamics of classical solitons (in non-integrable systems) Phys. Rep. 35 1
-
(1978)
Phys. Rep.
, vol.35
, pp. 1
-
-
Makhankov, V.G.1
-
35
-
-
18944400520
-
New similarity solutions of the Boussinesq equation
-
Clarkson P A and Kruskal M D 1989 New similarity solutions of the Boussinesq equation J. Math. Phys. 30 2201
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2201
-
-
Clarkson, P.A.1
Kruskal, M.D.2
-
36
-
-
46749095570
-
An implicit scheme of lattice Boltzmann method for sine-Gordon equation
-
Lai H L and Ma C F 2008 An implicit scheme of lattice Boltzmann method for sine-Gordon equation Chin. Phys. Lett. 25 2118
-
(2008)
Chin. Phys. Lett.
, vol.25
, pp. 2118
-
-
Lai, H.L.1
Ma, C.F.2
-
37
-
-
38349099347
-
A unified lattice Boltzmann model for some nonlinear partial differential equations
-
Chai Z H, Shi B C and Zheng L 2008 A unified lattice Boltzmann model for some nonlinear partial differential equations Chaos Solitons Fractals 36 874
-
(2008)
Chaos Solitons Fractals
, vol.36
, pp. 874
-
-
Chai, Z.H.1
Shi, B.C.2
Zheng, L.3
-
38
-
-
67149108179
-
A higher order lattice BGK model for simulating some nonlinear partial differential equation
-
Lai H L and Ma C F 2009 A higher order lattice BGK model for simulating some nonlinear partial differential equation Sci. China G 52 1053
-
(2009)
Sci. China G
, vol.52
, pp. 1053
-
-
Lai, H.L.1
Ma, C.F.2
-
39
-
-
59449088152
-
Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation
-
Lai H L and Ma C F 2009 Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation Physica A 388 1405
-
(2009)
Physica A
, vol.388
, pp. 1405
-
-
Lai, H.L.1
Ma, C.F.2
-
40
-
-
0036611898
-
An extrapolation method for boundary conditions in lattice Boltzmann method
-
Guo Z L, Zheng C G and Shi B C 2002 An extrapolation method for boundary conditions in lattice Boltzmann method Phys. Fluids 14 2007
-
(2002)
Phys. Fluids
, vol.14
, pp. 2007
-
-
Guo, Z.L.1
Zheng, C.G.2
Shi, B.C.3
|