Numerical solution of two-dimensional telegraph equations using Haar wavelets

Authors

  • Inderdeep Singh Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India.
  • Sheo Kumar Professor Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India.

DOI:

https://doi.org/10.30495/jme.v11i0.582

Keywords:

Two- dimensional telegraph equation, Haar wavelet, Function approximations, Error analysis.

Abstract

We present here, three- dimensional Haar wavelet based method for solving well known two- dimensional telegraph equation, by approximating higher order mixed derivatives by a series of higher
dimensional Haar wavelet functions, which are integrated subsequently to get wavelet approximation of the solution. Numerical examples have been solved to illustrate the accuracy and efficiency of the proposed Haar wavelet method. High accuracy of the results even in the case of a small number of collocation points have been observed.

Author Biographies

Inderdeep Singh, Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India.

Research Scholar, Department of Mathematics

Sheo Kumar, Professor Department of Mathematics Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India.

Professor, Department of Mathematics

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Published

2017-08-02

Issue

Vol. 11

Section

Vol. 11, No. 4, (2017)

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