Article citationsMore>>

Toutounian, F. and Tohidi, E. (2013) A New Bernoulli Matrix Method for Solving Second Order Linear Partial Di_erential Equations with the Convergence Analysis. Applied Mathematics and Computation, 223, 298-310.
https://doi.org/10.1016/j.amc.2013.07.094

has been cited by the following article:

• 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.