SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...

This is a preview. Log in through your library . Abstract A mixed finite-element finite-difference numerical method is developed to calculate nonlinear fluid-solid interaction problems. In this study, ...

Abstract: An accurate magnetic force model is crucial for the high-precision control of magnetic levitation systems. Soft magnetic materials, renowned for their excellent magnetic properties, are ...

ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...

Abstract: This paper proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain (CFDTD) algorithms. A ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

This project revisits the Black–Scholes equation and explores its numerical resolution using finite-difference schemes. We implement and compare explicit and implicit methods, assess their accuracy ...