A Modified RBF Collocation Method for Solving the Convection‐Diffusion Problems

Nissaya Chuathong

Abstract and Applied Analysis, 2023, vol. 2023, issue 1

Abstract: The main purposes of this study are to propose the modified radial basis function (RBF) collocation method using a hybrid radial basis function to solve the convection‐diffusion problems numerically and to choose the optimal shape parameter of radial basis functions. The modified numerical scheme is tested on a benchmark problem with varying shape parameters. The root mean square error and maximum error are used to validate the accuracy and efficiency of the method. The proposed method can be a good alternative to the radial basis function collocation method to improve accuracy and results.

Date: 2023
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https://doi.org/10.1155/2023/8727963

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:8727963

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