Unconditionally stable modified methods for the solution of two and three dimensional telegraphic equation with Robin boundary conditions

Swarn Singh, Suruchi Singh, Ping Lin, Rajni Arora

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1 Citation (Scopus)
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Abstract

In this article, we discuss modified three level implicit difference methods of order two in time and four in space for the numerical solution of two- and three-dimensional telegraphic equation with Robin boundary conditions. Ghost points are introduced to obtain fourth-order approximations for boundary conditions. Matrix stability analysis is carried out to prove stability of the method for telegraphic equations in two and three dimensions with Neumann boundary conditions. Numerical experiments are carried out and the results are found to be better when compared with the results obtained by other existing methods.

Original languageEnglish
Pages (from-to)246-266
Number of pages21
JournalNumerical Methods for Partial Differential Equations
Volume35
Issue number1
Early online date15 Jul 2018
DOIs
Publication statusPublished - Jan 2019

Keywords

  • Neumann boundary conditions
  • Numerov type approximation
  • Robin boundary conditions
  • matrix stability
  • telegraphic equation
  • unconditionally stable

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