Exploring the advection-diffusion equation through the subdivision collocation method: a numerical study

Abstract The current research presents a novel technique for numerically solving the one-dimensional advection-diffusion equation. This approach utilizes subdivision scheme based collocation method to interpolate the space dimension along with the finite difference method for the time derivative. Th...

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Bibliographic Details
Main Authors: Safia Malik, Syeda Tehmina Ejaz, Ali Akgül, Murad Khan Hassani
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-52059-7