A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM

Abstract Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while second DQM. resulting system of ODEs solved by SSP RK43 method after aforementioned spatially discretized. To assess success chosen tactics, a comparison errors shown. graphs can be seen, it asserted that precise results agreement with one another. Analyses convergence stability also given. It should highlighted there dearth study on 1D 2D equations. This aim to efficiently create fewer mistakes. These techniques would surely useful other higher-order nonlinear complex natured partial differential equations, including fractional integro partial-integro