A numerical scheme for solving nonhomogeneous time-dependent problems

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 57, Issue 3, 2006, Pages 369-383

  El Gamel, Mohamed ^a  

^a Mansoura University   (Egypt)

Author keywords

Euler Bernoulli beam; Numerical solutions; Sinc Galerkin method; Telegraph equation; Time dependent

Indexed keywords

EID: 33646467703     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-005-0022-9     Document Type: Article

References (13)

1. B. Bialecki, Sine-Collocation methods for two-point boundary value problems, IMA J. Numer. Anal. 11(1991), 357-375.
2. J. D. Dockery, Numerical solution of travelling waves for reaction-Diffusion equations via the Sinc-Galerkin method, in Computation and Control: Proceedings of the Bozeman Conference, Bozeman, Montana, 1993, K. Bowers, J. Lund(eds), Birkhauser, Boston 1993, pp. 95-113.
3. M. El-Gamel and A. Zayed, A comparison between the Wavelet-Galerkin and the Sinc-Galerkin methods in solving nonhomogeneous heat equations, Contemporary Mathematics of the American Mathematical Society, Series, Inverse Problem, Image Analysis, and Medical Imaging Edited by Zuhair N ashed and Otmar Scherzer, Vol. 313, AMS, Providence, 2002, pp. 97-116.
4. M. El-Gamel, S.Behiry and H. Hashish, Numerical method for the solution of special non-linear fourth-order boundary value problems. Appl. Math. Comp. 145 (2003), 717-734.
5. M. El-Gamel, J.R. Cannon and A. Zayed, Sinc-Galerkin method for solving linear Sixth order boundary-value problems. Math. Comput. 73 (2004), 1325-1343.
6. M. El-Gamel, and J.R. Cannon, On the solution of second order singularly-perturbed boundary value problem by the Sinc-Galerkin method, Z. Angew. Math. Phys. 56 (2005), 45-58.
7. M. El-Gamel, and J.R. Cannon. Sinc-Galerkin method for solving a fourth-order parabolic differential equation, Appl. Numer. Math. (appear).
8. V. Grenander and G. Szego, Toeplitz Forms and Their Applications, Second Ed. Chelsea Publishing Co., Orlando 1985.
9. J. Lund, Symmetrization of the Sinc-Galerkin method for boundary value problems. Math. Comput., 47 (1986), 571-588.
10. J. Lund and K. Bowers, Sine Methods for Quadrature and Differential Equations, SIAM, Philadelphia, PA 1992.
11. R. Smith, G. Bogar, K. Bowers, and J. Lund, The Sinc-Galerkin method for fourth-order differential equations, SIAM J. Numer. Anal., 28 (1991), 760-788.
12. F. Stenger, Numerical Methods Based on Sine and Analytic Functions, Springer, New York 1993.
13. G. Yin, Sine-Collocation method with orthogonalization for singular problem-like poisson, Math. Comput. 62 (1994) 21-40.