当前位置: X-MOL 学术Int. J Comput. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Convergence analysis of Galerkin and multi-Galerkin methods for nonlinear-Hammerstein integral equations on the half-line using Laguerre polynomials
International Journal of Computer Mathematics ( IF 1.7 ) Pub Date : 2021-06-11 , DOI: 10.1080/00207160.2021.1937612
Nilofar Nahid 1 , Gnaneshwar Nelakanti 1
Affiliation  

In this paper, we consider Galerkin and multi-Galerkin methods and their iterated versions for solving the nonlinear Hammerstein-type integral equation on the half-line with sufficiently smooth kernels, using Laguerre polynomials as basis functions. We obtain optimal convergence results in iterated-Galerkin method in both infinity and weighted L2-norms. We also obtain the superconvergence results in both multi-Galerkin and iterated multi-Galerkin methods, respectively, in weighted L2-norm. Numerical results are presented to validate the theoretical results.



中文翻译:

使用拉盖尔多项式对半线上的非线性Hammerstein积分方程进行Galerkin和多Galerkin方法的收敛性分析

在本文中,我们考虑使用 Laguerre 多项式作为基函数来求解具有足够光滑核的半线上的非线性 Hammerstein 型积分方程的 Galerkin 和多 Galerkin 方法及其迭代版本。我们在无穷大和加权的迭代Galerkin方法中获得了最优收敛结果大号2-规范。我们还分别获得了多Galerkin和迭代多Galerkin方法的超收敛结果,在加权大号2-规范。给出了数值结果来验证理论结果。

更新日期:2021-06-11
down
wechat
bug