Catalytic Depolymerization of Alkaline Lignin into Phenolic-Based Compounds over Metal-Free Carbon-Based Catalysts
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Author list: Totong S., Daorattanachai P., Quitain A.T., Kida T., Laosiripojana N.
Publisher: MDPI
Publication year: 2019
Journal: Mathematics (2227-7390)
Volume number: 58
Issue number: 29
Start page: 13041
End page: 13052
Number of pages: 12
ISSN: 2227-7390
eISSN: 2227-7390
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs. This local approach has flexibility with respect to geometry along with high order of convergence rate. In case of global meshless methods, the two major deficiencies are the computational cost and the optimum value of shape parameter. Therefore, research is currently focused towards localized RBFs approximations, as proposed here. The proposed local meshless procedure is used for spatial discretization, whereas for temporal discretization, different time integrators are employed. The proposed local meshless method is testified in terms of efficiency, accuracy and ease of implementation on regular and irregular domains. ฉ 2019 by the authors.
Keywords
Irregular domains, Kortewege-de Vries types equations, Local meshless method, RBFs, Reaction-diffusion Brusselator system