Numerical solution of hyperbolic partial differential equation with an integral condition
continues to be a major research area with widespread applications in modern physics and …

Many physical phenomena are modeled by nonclassical parabolic boundary value
problems with nonlocal boundary conditions. In place of the classical specification of …

Various processes in the natural sciences and engineering lead to the nonclassical
parabolic initial boundary value problems which involve nonlocal integral terms over the …

Certain problems arising in engineering are modeled by nonstandard parabolic initial‐
boundary value problems in one space variable, which involve an integral term over the …

In this paper, the problem of solving the one-dimensional parabolic partial differential
equation subject to given initial and non-local boundary conditions is considered. The …

Some physical problems in science and engineering are modelled by the parabolic partial
differential equations with nonlocal boundary specifications. In this paper, a numerical …

The parabolic problems with non-classical conditions are discussed in a reproducing kernel
space in this paper. A reproducing kernel space is constructed, in which the non-classical …

This study uses the cubic spline method to solve the one-dimensional (1D)(one spatial and
one temporal dimension) heat problem (a parametric linear partial differential equation) …

In the present paper, two numerical methods are analyzed for the solution of two-
dimensional Poisson equation with two different types of nonlocal boundary conditions. The …

The hyperbolic partial differential equation with an integral condition arises in many physical
phenomena. In this research a numerical technique is developed for the one‐dimensional …