Advanced Mathematical Models & Applications
Advanced Mathematical Models & Applications is a peer-reviewed, open access journal meant to publish original and significant results and articles in all areas of mathematical modeling and their applications. The aim of this Journal is to bring together researchers and practitioners from academia and industry to establishing new collaborations in this area. The Journal will consider for publication also review articles, literature reviews, correspondence concerning views and information published in previous issues.
Burgers' Equation Resolution Using a New Formulation of Nodal Integral Method
- Published: 03-12-2025
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In the numerical approximation of physical problems, achieving a high level of accuracy is often essential. Various numerical methods have been developed by different authors to meet this requirement. These methods usually include the Nodal Integral Method (NIM), which is well known for delivering accurate results even on coarse meshes. Motivated by this in the present work, we develop a new scheme inspired by the classical NIM to solve the one-dimensional (1D) Burgers' equation. To assess the performance of the proposed approach, several numerical tests are carried out. The results clearly demonstrate the effectiveness and accuracy of the developed scheme.
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