Inverse problems are central to modern applied mathematics, posing the challenge of deducing causes from observed effects across numerous disciplines including geophysics, medical imaging and ...
In this paper an analysis will be presented for the ADI (alternating direction implicit) method of Peaceman and Rachford applied to initial-boundary value problems for partial differential equations ...
Abstract: This article reports necessary stability conditions for a parabolic partial differential equation (PDE) interconnected through the boundaries to an ordinary differential equation (ODE). We ...
This is a preview. Log in through your library . Abstract We consider the numerical solution of boundary value problems for general neutral functional differential equations by the collocation method.
Many of today’s most pressing scientific and engineering challenges, from modeling the future effects of climate change to simulating financial systems under stress, depend on the accurate solution of ...
Abstract: This paper proposes an improved energy technique for the convergence and stability analysis of upwind-flux based DGTD method. By formulating the discrete energy in the energy-based stability ...
The main objective of this Research Topic has been to bring academics, engineers, researchers and scientists to share recent ideas, methods, trends, problems and solutions in mathematical biology, ...
ABSTRACT: Beam is one of the common structures in engineering, with the development of technology, homogeneous beams no longer meet the needs of engineering structural design, for this reason, people ...