Article citationsMore>>
El-Gamel, M. and Zayed, A. (2002) A Comparison between the
Wavelet-Galerkin and the Sinc-Galerkin Methods in Solving Nonhomogeneous
Heat Equations. In: Nashed, Z. and Scherzer, O.,
Eds., Contemporary Mathematics of the American Mathematical
Society, Series, Inverse Problem, Image Analysis, and Medical
Imaging, Vol. 313, AMS, Providence.
has been cited by the following article:
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TITLE:
Two Very Accurate and Efficient Methods for Solving Time-Dependent Problems
AUTHORS:
Mohamed El-Gamel, Waleed Adel, M. S. El-Azab
KEYWORDS:
Wavelet, Galerkin, Daubechies, Bernoulli, Collocation
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.11,
November
21,
2018
ABSTRACT:
In this paper, collocation method based on Bernoulli and Galerkin
method based on wavelet are proposed for solving nonhomogeneous
heat and wave equations. The two methods have the linear systems
solved by suitable solvers. Several examples are given to examine
the performance of these methods and a comparison is made.