In this paper, by using a new non-polynomial parameters cubic spline in space direction and
compact finite difference in time direction, we get a class of new high accuracy scheme of O …

This paper presents mathematical modelling of telegraph equations and as an application of
transmission lines in electrical signals and gives a survey of the results on the development …

There have been many approaches to solve telegraph equations numerically in literature.
However, very few are two-level difference schemes in solving telegraph equations with …

In this paper, we propose a new Numerov type discretization for the solution of one-space
dimensional non-linear hyperbolic partial differential equation of the form utt= A (x, t) uxx+ g …

We study a new 3-level implicit numerical method of order 4 in space and 2 in time on a
graded mesh in time for the solution of 1D quasilinear hyperbolic equation z tt= a (t, x, z) z …

In this paper, we propose a new three-level implicit nine-point compact finite difference
formulation of order two in time and four in space directions, based on spline in tension …

In this article, we describe a new compact three level implicit method of order four in time
and space based on half-step discretization for one space dimensional quasilinear …

In this paper, we report new three level implicit super stable methods of order two in time
and four in space for the solution of hyperbolic damped wave equations in one, two and …

This paper is concerned with a three-level alternating direction implicit (ADI) method for the
numerical solution of a 3D hyperbolic equation. Stability criterion of this ADI method is given …

In this paper, two classes of methods are developed for the solution of two space
dimensional wave equations with a nonlinear source term. We have used non-polynomial …