The solution of nonlinear coagulation problem with mass loss

Chaos, Solitons and Fractals

Volumn 29, Issue 2, 2006, Pages 313-330

  Abulwafa, E M ^a   Abdou, M A ^a   Mahmoud, A A ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

DECOMPOSITION; INITIAL VALUE PROBLEMS; ITERATIVE METHODS; NONLINEAR CONTROL SYSTEMS; POLYNOMIAL APPROXIMATION; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

ADOMIAN'S DECOMPOSITION METHOD; INITIAL CONDITIONS; MASS LOSS COEFFICIENTS; NONLINEAR COAGULATION PROBLEM;

COAGULATION;

EID: 31444453811     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.044     Document Type: Article

References (24)

1. S.K. Friedlander Smoke, dust and haze 1977 Wiley New York
2. J. Silk Star formation Geneva observatory 1980 Sauvering Switzerland
3. D. Johnston, and G. Benedek F. Family D.P. Landau Kinetics of aggregation and gelation 1984 North Holland Amsterdam
4. P. Singh, and G.J. Rodgers Coagulation process with mass loss J Phys A: Math Gen 29 1996 1437 1450
5. D.O. Pushkin, and H. Aref Self-similarity theory of stationary coagulation Phys Fluids 14 2 2002 694 703
6. J.H. He A new approach to nonlinear partial differential equations Comm Nonlinear Sci Numer Simul 2 4 1997 230 235
7. J.H. He A variational iteration approach to nonlinear problems and its application Mech Appl 20 1 1998 30 31
8. J.H. He Approximate analytical solution for seepage flow with fractional derivatives in porous media Comput Method Appl Mech Eng 167 1&2 1998 57 68
9. J.H. He Approximate solution of nonlinear differential equations with convolution product nonlinearities Comput Method Appl Mech Eng 167 1&2 1998 69 73
10. J.H. He Variational iteration method-a kind of nonlinear analytical technique: some examples Int J Nonlinear Mech 34 1999 699 708
11. J.H. He Variational iteration method for autonomous ordinary differential systems Appl Math Comput 114 2&3 2000 115 123
12. J.H. He Approximate analytical methods in Science and Engineering 2002 Henan Science & Technology Press [in Chinese]
13. J.H. He Generalized variational principles in fluids 2003 Science & Culture Publishing House of China Hong Kong [in Chinese]
14. J.H. He, Y.Q. Wan, and Q. Guo An iteration formulation for normalized diode characteristics Int J Circuit Theory Appl 32 2004 629 632
15. M.A. Abdou, and A.A. Soliman Variational-iteration method for solving Burger's and coupled Burger's equations J Comput Appl Math 181 2005 245 251
16. S. Momani, and S. Abuasad Application of He's variational-iteration method to Helmholtz equation Chaos, Solitons & Fractal 27 5 2005 1119 1123
17. G. Adomian A new approach to nonlinear partial differential equations J Math Anal Appl 102 1984 420 434
18. G. Adomian A review of the decomposition method in applied mathematics J Math Anal Appl 135 1988 501 544
19. G. Adomian Solving frontier problems of physics: the decomposition method 1994 Kluwer Boston
20. A.M. Wazwaz A new approach to nonlinear advection problem: an application of the decomposition method Appl Math Comput 72 1995 175 181
21. A.M. Wazwaz A reliable modification of Adomian decomposition method Appl Math Comput 102 1997 77 86
22. A.M. Wazwaz A new algorithm for calculating Adomian polynomials for nonlinear operators Appl Math Comput 111 2000 53 69
23. B.A. Finlayson The method of weighted residuals and variational principles 1972 Academic press New York
24. M. Inokvti, H. Sekine, and T. Mura General use of the Lagrange multiplier in nonlinear mathematical physics S. Nemat-Nassed Variational method in the mechanics of solids 1978 Pergamon press 156 162