# Two-dimensional Bernoulli wavelets with satisfier function in the Ritz–Galerkin method for the time fractional diffusion-wave equation with damping

Two-dimensional Bernoulli wavelets with satisfier function in the Ritz–Galerkin method for the... In this paper, the two-dimensional Bernoulli wavelets (BWs) with Ritz–Galerkin method are applied for the numerical solution of the time fractional diffusion-wave equation. In this way, a satisfier function which satisfies all the initial and boundary conditions is derived. The two-dimensional BWs and Ritz–Galerkin method with satisfier function are used to transform the problem under consideration into a linear system of algebraic equations. The proposed scheme is applied for numerical solution of some examples. It has high accuracy in computation that leads to obtaining the exact solutions in some cases. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Sciences Springer Journals

# Two-dimensional Bernoulli wavelets with satisfier function in the Ritz–Galerkin method for the time fractional diffusion-wave equation with damping

, Volume 11 (3) – Feb 28, 2017
8 pages

/lp/springer_journal/two-dimensional-bernoulli-wavelets-with-satisfier-function-in-the-ritz-FMy6KnKi4C
Publisher
Springer Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics
ISSN
2008-1359
eISSN
2251-7456
D.O.I.
10.1007/s40096-017-0214-4
Publisher site
See Article on Publisher Site

### Abstract

In this paper, the two-dimensional Bernoulli wavelets (BWs) with Ritz–Galerkin method are applied for the numerical solution of the time fractional diffusion-wave equation. In this way, a satisfier function which satisfies all the initial and boundary conditions is derived. The two-dimensional BWs and Ritz–Galerkin method with satisfier function are used to transform the problem under consideration into a linear system of algebraic equations. The proposed scheme is applied for numerical solution of some examples. It has high accuracy in computation that leads to obtaining the exact solutions in some cases.

### Journal

Mathematical SciencesSpringer Journals

Published: Feb 28, 2017

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