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

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 …

Abstract Continuous-stage extended Runge-Kutta-Nyström (CSERKN) methods are
proposed and developed for oscillatory problem q ″(t)+ M q (t)= f (q (t)). These new …

Solving stiff, singular, and singularly perturbed initial value problems (IVPs) has always
been challenging for researchers working in different fields of science and engineering. In …

Featured Application The authors show some computational highlights in the application of
the system described above. Abstract Some strategies for solving differential equations …

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 …

In the paper the convergence of a finite difference scheme for two-dimensional nonlinear
elliptic equation in the rectangular domain with the integral boundary condition is …

We study a system of two parabolic nonlinear reaction–diffusion equations subject to a
nonlocal boundary condition. This system of nonlinear equations is used for mathematical …

We extend the operational matrices technique to design a spectral solution of nonlinear
fractional differential equations (FDEs). The derivative is considered in the Caputo sense …

In this paper, we consider the numerical solution of the nonlinear one-and two-dimensional
heat transfer problems subject to the given initial conditions and linear Robin boundary …