1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...

Abstract: This paper presents the critical-point-based stability analyses of finite-difference time-domain (FDTD) methods for Schrödinger equation incorporating vector and scalar potentials. Most ...

Abstract: This work addresses the resolution of the transport (advection-diffusion) equation in 3D using an explicit scheme for the finite d ifference method. Our initative is motivated by the ...

The finite difference migration, proposed and developed by J. F. Claerbout[1], is now widely used in seismic data processing. The method has a limitation that the events are not dipping too much.

In this paper we investigate the effectiveness of alternating direction implicit (ADI) time-discretization schemes in the numerical solution of the three-dimensional Heston-Hull-White partial ...

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of ...

Given $\alpha = 1$ for simplicity, the exact solution of the heat equation can vary depending on the initial and boundary conditions applied. A common scenario for an analytical solution involves a ...