An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method

Applied Mathematics and Computation

Volumn 163, Issue 2, 2005, Pages 633-638

  Biazar, J ^a   Ebrahimi, H ^b  

^a UNIVERSITY OF GUILAN   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Adomian decomposition method; Hyperbolic equation; Polynomials Adomian

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FUNCTIONS; MATHEMATICAL OPERATORS; POLYNOMIALS; PROBLEM SOLVING; WAVE EQUATIONS;

ADOMIAN DECOMPOSITION METHOD; HYPERBOLIC EQUATIONS; POLYNOMIALS ADOMIAN; TELEGRAPH EQUATION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 13544252476     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.005     Document Type: Article

References (6)

1. Adomian G. Nonlinear Stochastic Systems and Applications to Physics. 1989;Kluwer Academic Press
2. Adomian G. Solving Frontier Problems of Physics: The Decomposition Method. 1994;Kluwer Academic Press
3. Evens G., Blackledge J., Yardley P. Numerical Methods for Partial Differential Equations. 2000;Springer
4. Smith Numerical Methods for Partial Differential Equations. 1978;Oxford Press
5. Biazar J., Babolian E., Nouri A., Islam R. An alternate algorithm for computing Adomian decomposition method in special cases. Applied Mathematics and Computation. 38(2-3):2003;523-529
6. Wazwaz A.M. A new algorithm for calculation Adomian polynomials for nonlinear operators. Applied Mathematics and Computation. 111(1):2000;33-51