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Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients

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  • Ram Jiwari
  • Sukhveer Singh
  • Paramjeet Singh
  • Antonio Di Crescenzo

Abstract

This work analyze singularly perturbed convection-diffusion-reaction (CDR) models with two parameters and variable coefficients by developing a mesh-free scheme based on local radial basis function-finite difference (LRBF-FD) approximation. In the evolvement of the scheme, time derivative is discretized by forward finite difference. After that, LRBF-FD approximation is used for spatial discretization, and we obtained a system of linear equations. Then, the obtained linear system is solved by LU decomposition method in MATLAB. For numerical simulation, four singularly perturbed models are pondered to check the efficiency and chastity of the proposed scheme.

Suggested Citation

  • Ram Jiwari & Sukhveer Singh & Paramjeet Singh & Antonio Di Crescenzo, 2022. "Local RBF-FD-Based Mesh-free Scheme for Singularly Perturbed Convection-Diffusion-Reaction Models with Variable Coefficients," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, March.
    • Handle: RePEc:hin:jjmath:3119482
    DOI: 10.1155/2022/3119482
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