ABSTRACT: Convergence behaviors of solutions arising from certain system of third-order nonlinear differential equations are studied. Such convergence of solutions corresponding to extreme stability ...

In this paper we define a discrete solution of the Plateau problem and we prove theorems for the convergence of the discrete solution when the contour satisfies a certain condition. A numerical ...

This paper presents, an efficient approach for solving Euler-Lagrange Equation which arises from calculus of variations. Homotopy analysis method to find an approximate solution of variational ...

Abstract: Certain classes of systems with nonlinearities of a sector type and time-varying delay are studied. By the use of the Lyapunov functions method and the Razumikhin approach, conditions are ...

We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

Abstract: This paper considers the convergence and existence problem for the nontivial stationary solution of a memristor-based neural network with reaction-diffusion(MNNs). We address the existence ...

Professor Kevin Buzzard of Imperial’s Department of Mathematics has been awarded a two-year grant from the AI for Math Fund.