Adomian decomposition method for solving the telegraph equation in charged particle transport

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 95, Issue 3, 2005, Pages 407-414

  Abdou, M A ^a  

^a Mansoura University   (Egypt)

Author keywords

Adomian decomposition; Legendre expansion; Telegraph equation

Indexed keywords

LINEAR EQUATIONS; NONLINEAR EQUATIONS; POLYNOMIALS; RADIATION;

ADOMAIN POLYNOMIALS; BOLTZMANN TRANSPORT; CHARGED PARTICLES TRANSPORT; TELEGRAPH EQUATIONS;

CHARGED PARTICLES;

MATHEMATICAL ANALYSIS; SCATTERING;

EID: 18144404252     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2004.08.045     Document Type: Article

References (23)

1. Broginskii SI. Transport process in plasma. Rev Plasma Phys 1965.
2. Luo Zheng-Ming A. Brahme Radiat Phys Chem 41 1993 673
3. G.C. Messenger M.S. Ash The effects of radiation on electronic system 1986 Van Nostrand Reinhold Wokinghom, NY
4. D.I. Rode Semicond Semimet 10 1995 1
5. M.C. Veuhi L.G. Reyna Solid State Electron 37 1994 1705
6. K. Mehlhorn M. Duderstadt J Comput Phys 38 1980 86
7. S.D. Paranjape D.C. Sahni Plasma Phys Controlled Fusion 29 1987 367
8. P. Miazza J. Ligou Nucl Sci Eng 105 1990 54
9. D. Kaya A. Yokus A numerical comparison of partial solution in the decomposition method for linear and nonlinear PDES Math Comput Simul 60 2002 507
10. G. Adomian The decomposition method 1994 Kluwer Academic Publications Boston
11. G. Adomian Stochastic systems 1983 Academic Press San Diego, CA
12. G. Adomian Nonlinear stochastic operator equations 1986 Academic Press San Diego, CA
13. G. Adomian A review of the decomposition method in applied math J Math Anal Appl 135 1988 501
14. G. Adomian Solving the math models of neurosciences and medicine Math Comput Simul 40 1995 107
15. A.M. Wazwaz A new technique for calculating Adomian polynomials for nonlinear polynomials Appl Math Comput 111 2000 53
16. A.M. Wazwaz The modified decomposition method applied to unsteady flow of gas through a porous medium Appl Math Comput 123 2001 133
17. A.M. Wazwaz The numerical solution of special fourth order boundary value problems by the modified decomposition method Int J Comput Math 97 3 2002 345
18. A.M. Wazwaz Construction of solitary wave solutions and rational solutions for the KDv equation by Adomian decomposition method Chaos Solitons Fractals 12 2001 2283
19. A.M. Wazwaz New solitary wave solutions with compact support for the nonlinear dispersive equations Chaos Solitons Fractals 13 2002 321
20. K. Dogan M. Assila An application for the generalized KDv equation by the decomposition method Phys Lett A 299 2002 201
21. A.M. Wazwaz M-El Sayed A new modification of ADM for linear and nonlinear operators Appl Math Comput 122 2001 393
22. T.I. Gombosi J.R. Jokipii J. Kota K. Lorencz L.L. Williams The telegraph equation in charged particle transport Astrophys J 403 1993 377
23. W.W. Bell Special function for scientists and engineers 1968 Van Nostrand London