This paper concerns the numerical simulation of internal recirculating flows encompassing a two-dimensional viscous incompressible flow generated inside a regularized square driven cavity and over a ...
This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The ...
Russell (Rust Scientific Library) helps develop high-performance computations involving linear algebra, sparse linear systems, numerical mathematics (continuation), differential equations, statistics, ...
Abstract: The spectral collocation method and the finite-element method (FEM) are employed to numerically solve the Fokker–Planck (FP) equation. The methods are validated by comparison with an ...
ABSTRACT: Circular holes are commonly employed in engineering designs; however, they often serve as locations where cracks initiate and propagate. This paper explores a novel approach to structural ...
(1) Scuola Internazionale Superiore di Studi Avanzati E-mail: ngiuliani@sissa.it (2) Scuola Internazionale Superiore di Studi Avanzati E-mail: andrea.mola@sissa.it (3) Scuola Internazionale Superiore ...
We explore the use of Physics-Informed Neural Networks (PINNs) for reconstructing full magnetohydrodynamic solutions from partial samples, mimicking the recreation of space-time environments around ...
This research paper represents a numerical approximation to three interesting equations of Fisher, which are linear, non-linear and coupled linear one dimensional reaction diffusion equations from ...
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