Heat equation and its comparative solutions

Computers and Mathematics with Applications

Volumn 55, Issue 12, 2008, Pages 2973-2980

  Gorguis, Alice ^a   Benny Chan, Wai Kit ^a  

^a NORTH PARK UNIVERSITY   (United States)

Author keywords

Adomian decomposition method; Heat equations; Homogeneous equations; Non homogeneous equations; Partial differential equations; Separation of variables method

Indexed keywords

BOUNDARY VALUE PROBLEMS; HEAT TRANSFER; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

ADOMIAN DECOMPOSITION METHOD; HEAT EQUATIONS; HOMOGENEOUS EQUATIONS; NON-HOMOGENEOUS EQUATIONS; SEPARATION OF VARIABLES METHOD;

PROBLEM SOLVING;

EID: 42749093073     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.11.028     Document Type: Article

References (8)

1. Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135 (1988) 501-544
2. Adomian G. On the solution of partial differential equations with specified boundary conditions. Math. Comput. Modelling 140 2 (1994) 569-581
3. Cherruault Y. Convergence of Adomian's method. Kybernotes 18 20 (1990) 31-38
4. Abbaoui K., and Cherruault Y. Convergence of Adomians method applied to differential equations. Comput. Math. Appl. 28 5 (1994) 103-109
5. Wazwaz A., and Gorguis A. Exact solutions for heat-like and wave-like equations with variable coefficients. Appl. Math. Comput. 149 (2004) 15-29
6. Wazwaz A. Partial Differential Equations; Methods and Applications (2002), Balkema Publishers, The Netherlands
7. Gorguis A. A comparison between Cole-Hopf transformation and the decomposition method for solving Burgers'equations. Appl. Math. Comput. (2006)
8. Wazwaz A., and Gorguis A. An analytic study of fisher's equation by using Adomian decomposition methods. Appl. Math. Comput. 154 (2004) 609-620