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.
Highlights
Collocation method based on Bernoulli and Galerkin method based on wavelet are proposed for solving nonhomogeneous heat and wave equations
There has been a great deal of interest in “global” methods (Galerkin and collocation methods) for the numerical solution of twopoint boundary value problems
The Galerkin method is a discretization scheme in which the expansion coefficients {ak}Nk=1 are per nulla
Summary
More detailed discussions about Daubechies wavelets can be found in [28,29,30,31]
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