In this article, barycentric rational interpolation and local radial basis functions (RBFs) based
numerical algorithms are developed for solving multidimensional sine‐Gordon (SG) …

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 …

In this work a powerful method is presented to solve the Klein–Gordon equation (KGE).
Firstly, a discretization is implemented on the original equation. Then a geometric technique …

In this paper, polynomial differential quadrature method (PDQM) is applied to find the
numerical solution of the generalized Fitzhugh–Nagumo equation with time-dependent …

Purpose The main purpose of this work is the development of a numerical algorithm based
on modified cubic trigonometric B-spline functions for computational modelling of hyperbolic …

In this paper, Hermite wavelets are used to develop a numerical procedure for numerical
solutions of two-dimensional hyperbolic telegraph equation. In first stage, we rewrite the …

In this paper, a meshless collocation method with barycentric rational interpolation is
proposed to find and represent the solution of the two-dimensional hyperbolic telegraph …

In this study, a hybrid Chebyshev pseudo-spectral finite-difference time-domain (CPS-FDTD)
algorithm is proposed for simulating 2D acoustic wave propagation in heterogeneous …

The rapid development of the modern age has increased the urge of using composite
structures having applications in the realm of various engineering fields. Specifically, fibre …

In this study, a new composite algorithm with the help of the finite difference and the
modified cubic trigonometric B‐spline differential quadrature method is developed. The …