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

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.

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The authors declare no conflicts of interest.

Cite this paper

El-Gamel, M. , Adel, W. and El-Azab, M. (2018) Two Very Accurate and Efficient Methods for Solving Time-Dependent Problems. Applied Mathematics, 9, 1270-1280. doi: 10.4236/am.2018.911083.

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