Abstract A Jacobi–Gauss–Lobatto collocation (J-GL-C) method, used in combination with
the implicit Runge–Kutta method of fourth order, is proposed as a numerical algorithm for the …

A numerical technique for solving nonlinear ordinary differential equations on a semi-infinite
interval is presented. We solve the Thomas–Fermi equation by the Sinc-Collocation method …

In this paper we present a conservative numerical method for the Cahn–Hilliard equation
with Dirichlet boundary conditions in complex domains. The method uses an unconditionally …

One acceptable technique in meshfree methods is collocation procedure based on the
radial basis functions. But the mentioned technique is poor for solving problems that have …

In this paper, we propose a new WENO finite difference procedure for nonlinear degenerate
parabolic equations which may contain discontinuous solutions. Our scheme is based on …

In this paper, a finite difference approach is being presented as the most reliable technique
to investigate the non-linear transverse vibration of an axially moving beam. Firstly …

In this paper, we propose a new weighted essentially non-oscillatory (WENO) procedure for
solving hyperbolic conservation laws, on uniform meshes. The new scheme combines …

The objective of the work in this paper is to computationally tackle a range of problems in
hyperbolic conservation laws, which is an interesting branch of computational fluid …

In this work, we propose and analyze a novel high-order explicit scheme for efficiently
solving Hamiltonian nonlinear wave equations. The new explicit scheme is based on the …

In this paper, we propose a new scheme that combines weighted essentially non‐oscillatory
(WENO) procedures together with monotone upwind schemes to approximate the viscosity …