English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The present article is devoted to developing the Legendre wavelet operationalmatrix method (LWOMM) to find the numerical solution of two-dimensionalhyperbolic telegraph equations (HTE) with appropriate initial time boundaryspace conditions. The Legendre wavelets series with unknown coefficients havebeen used for approximating the solution in both of the spatial and temporalvariables. The basic idea for discretizing two-dimensional HTE is based ondifferentiation and integration of operational matrices. By implementing LWOMMon HTE, HTE is transformed into algebraic generalized Sylvester equation.Numerical experiments are provided to illustrate the accuracy and efficiency ofthe presented numerical scheme. Comparisons of numerical results associatedwith the proposed method with some of the existing numerical methods confirmthat the method is easy, accurate and fast experimentally. Moreover, we haveinvestigated the convergence analysis of multidimensional Legendre waveletapproximation. Finally, we have compared our result with the research articleof Mittal and Bhatia (see [1]).

Numerical and approximate solutions for two-dimensional hyperbolic telegraph equation via wavelet matrices