The final, formatted version of the article will be published soon. Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the 3 time-space domain dispersion-relation ...

SOLVE-Med is a modular medical QA system that efficiently routes questions to specialized Small Language Models (SLMs). This self-hostable stack supports multi-turn chat and is designed for easy ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...

Solution of nonlinear two-point boundary-value problems is often an extremely difficult task. Quite apart from questions of reality and uniqueness, there is no established numerical technique for this ...

Abstract: A novel finite difference method based on node set vectors for two-dimensional Poisson equation is proposed in this paper, the method, called as node set vector FDM (NSV-FDM), can be applied ...

Basic Computational Fluid Dynamics (CFD) schemes implemented in FORTRAN using Finite-Volume and Finite-Difference Methods. Sample simulations and figures are provided.

ABSTRACT: This research paper represents a numerical approximation to three interesting equations of Fisher, which are linear, non-linear and coupled linear one ...