Numerical solution of two-dimensional steady-state convection-diffusion equation based on Newton's method of matrix splitting iterative method

Boyu Zhou

doi:10.1117/12.2685926

28 July 2023 Numerical solution of two-dimensional steady-state convection-diffusion equation based on Newton's method of matrix splitting iterative method

Boyu Zhou

Author Affiliations +

Proceedings Volume 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023); 127560B (2023) https://doi.org/10.1117/12.2685926
Event: 2023 3rd International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2023), 2023, Tangshan, China

Abstract

The article improves the Newton iterative method and combines the matrix splitting technique to propose a series of matrix splitting iterative methods based on Newton's method, and the convergence theorems and error estimates about the iterative methods are also given in the paper. It also provides a new and efficient method for solving large-scale nonlinear systems of equations.

Citation Download Citation

Boyu Zhou "Numerical solution of two-dimensional steady-state convection-diffusion equation based on Newton's method of matrix splitting iterative method", Proc. SPIE 12756, 3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 127560B (28 July 2023); https://doi.org/10.1117/12.2685926

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