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 …

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 …

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

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

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

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 …

The nonlocal boundary value problem d2u (t)/dt2+ Au (t)= f (t)(0≤ t≤ 1), i (du (t)/dt)+ Au (t)=
g (t)(− 1≤ t≤ 0), u (0+)= u (0−), ut (0+)= ut (0−), Au (− 1)= αu (μ)+ φ, 0< μ≤ 1, for hyperbolic …