Journal of Computational and Applied Mathematics2022,Vol.40412.DOI:10.1016/j.cam.2021.113391

Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials

Hernandez-Veron, M. A. Martinez, Eulalia
Journal of Computational and Applied Mathematics2022,Vol.40412.DOI:10.1016/j.cam.2021.113391

Iterative schemes for solving the Chandrasekhar H-equation using the Bernstein polynomials

Hernandez-Veron, M. A. 1Martinez, Eulalia2
扫码查看

作者信息

  • 1. Univ La Rioja
  • 2. Univ Politecn Valencia
  • 折叠

Abstract

In this work, we use Newton-type iterative schemes to obtain a domain of existence of solution, approximate the solution of Chandrasekhar H-equations and deal with the case of nonlinear integral equations with non-separable kernels. A change of variable in the Chandrasekhar H-equation allows us to apply a previous study by describing nonlinear integral equations of Hammerstein-type with non-separable kernel. We use the Bernstein polynomials for approximating the non-separable kernel and then we apply a semilocal converge study done previously to the Chandrasekhar H-equation. Moreover, we apply Newton-type iterative schemes for some specific Chandrasekhar H-equations to approximate the H-function solution and compare our results with others obtained previously. (C)& nbsp;2021 Elsevier B.V. All rights reserved.

Key words

Chandrasekhar H-equation/Non-separable kernel/Newton-type iterative scheme/Domain of existence of solution/Domain of uniqueness of solution

引用本文复制引用

出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
参考文献量17
段落导航相关论文