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.