Two Very Accurate and Efficient Methods for Solving Time-Dependent Problems

Mohamed El-Gamel, Waleed Adel, M. S. El-Azab

Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

DOI: 10.4236/am.2018.911083                

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.

Keywords

Wavelet, Galerkin, Daubechies, Bernoulli, Collocation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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