Purpose The purpose of this study is to develop an algorithm for approximate solutions of
nonlinear hyperbolic partial differential equations. Design/methodology/approach In this …

The purpose of this study is to give a Taylor polynomial approximation for the solution of
hyperbolic type partial differential equations with constant coefficients. The technique used …

This study is devoted to the numerical investigation of linear and nonlinear hyperbolic
telegraph equation. We have proposed a wavelet collocation method based on Legendre …

The purpose of this work is to propose a new composite scheme based on differential
quadrature method (DQM) and modified cubic unified and extended trigonometric B-spline …

The hyperbolic nonlinear Schrödinger equation in the (3+ 1)‐dimension depicts the
evolution of the elevation of the water wave surface for slowly modulated wave trains in …

The stable difference schemes for the approximate solution of the nonlocal boundary value
problem for multidimensional hyperbolic equations with dependent in space variable …

A second‐order linear hyperbolic equation with time‐derivative term subject to appropriate
initial and Dirichlet boundary conditions is considered. Second‐order unconditionally …

The aim of this study is to give a Legendre polynomial approximation for the solution of the
second order linear hyper-bolic partial differential equations (HPDEs) with two variables and …

This paper is devoted to the study of two-dimensional hyperbolic partial differential telegraph
equation. Converting the PDE to an ODE yields exact solution to this problem. Then, using …

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 …