Solving fractional partial differential equations in fluid mechanics by generalized differential transform method

2011 International Conference on Multimedia Technology, ICMT 2011

Volumn , Issue , 2011, Pages 2573-2576

  Chen, Xuehui ^a   Wei, Liang ^a   Sui, Jizhe ^a   Zhang, Xiaoliang ^a   Zheng, Liancun ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

Differential transform method; Generalized Taylor's formula; Time fractional diffusion and wave equation

Indexed keywords

ANALYTICAL SOLUTIONS; APPROXIMATE SOLUTION; DIFFERENTIAL TRANSFORM METHOD; EQUATIONS ARISING IN FLUID MECHANICS; NUMERICAL RESULTS; PARTIAL DIFFERENTIAL; TAYLOR'S FORMULA; TIME-FRACTIONAL DIFFUSION;

FLOW MEASUREMENT; FLUID MECHANICS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

NUMERICAL METHODS;

EID: 80052941703     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMT.2011.6002361     Document Type: Conference Paper

References (11)

1. S. Momani, "Non-perturbative analytical solutions of the space- and time-fractional Burgers equations", Chaos Solitons Fract. 28 (4) (2006) 930-937.
2. S. Momani, Z. Odibat, "Analytical approach to linear fractional partial differential equations arising in fluid mechanics", Phys. Lett. A 355 (2006) 271-279.
3. X. H. Chen, MHD Boundary Layer Flow of a Non-Newtonian Fluid on a Moving Surface with a Power-Law Velocity, Chinese Physics Letters, 24(1): (2007) 1989-1991
4. J. H. He, "Approximate analytical solution for seepage flow with fractional derivatives in porous media", Comput. Methods Appl. Mech. Engrg. 167 (1998) 57-68.
5. Z. Odibat, S. Momani, "Application of variational iteration method to nonlinear differential equations of fractional order", Int. J. Nonlinear Sci. Numer. Simul. 7 (1) (2006) 15-27.
6. N. Bildik, A. Konuralp, F. Bek, S. Kucukarslan, "Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method", Appl. Math. Comput. 172 (2006) 551-567.
7. Z. Odibat, N. Shawafeh, "Generalized Taylor's formula", Appl. Math. Comput. 186 (2007) 286-293.
8. I. Podlubny, "Geometric and physical interpretation of fractional integration and fractional differentiation", Frac. Calc. Appl. Anal. 5 (2002) 367-386.
9. M. Caputo, "Linear models of dissipation whose Q is almost frequency independent". Part II, J. Roy. Astr. Soc. 13 (1967) 529-539.
10. Z. Odibat, N. Shawagfeh, "Generalized Taylor's formula", Appl. Math. Comput. 186 (2007) 286-293.
11. S.Momani, Z.Odibat, "A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula", Appl. Math. Comput. 220 (2008) 85-95