Many physical phenomena are modelled by nonclassical parabolic boundary value
problems with nonlocal boundary conditions. Many different papers studied the second …

A new two‐time level implicit technique based on cubic trigonometric B‐spline is proposed
for the approximate solution of a nonclassical diffusion problem with nonlocal boundary …

Many physical phenomena are modeled by nonclassical hyperbolic boundary value
problems with nonlocal boundary conditions. In this paper, the problem of solving the one …

Parabolic equations with nonlocal boundary conditions have been given considerable
attention in recent years. In this paper new high-order algorithms for the linear diffusion …

Several processes in the natural sciences and engineering lead to nonclassical parabolic
initial boundary value problems with nonlocal boundary conditions. Many authors have …

In this article, the one-dimensional parabolic equation with three types of integral nonlocal
boundary conditions is approximated by the implicit Euler finite difference scheme. Stability …

Based on an example, we describe how outcomes of computational experiment can be
employed for study of stability of numerical algorithm, provided that related theoretical …

We use a matrix formulated algorithm to approximate solutions of a class of nonlinear
reaction-diffusion equations with nonlocal boundary conditions. Some theoretical results are …

A finite difference method for the approximate solution of the reverse multidimensional
parabolic differential equation with a multipoint boundary condition and Dirichlet condition is …

This paper suggests an accurate numerical method based on a sixth‐order compact
difference scheme and explicit fourth‐order Runge–Kutta approach for the heat equation …