Numerical solutions of one-dimensional Gelfand equation with fractional Laplacian
发布时间：2025-01-03
点击次数：
DOI码：10.1007/s10910-024-01689-3
发表刊物：Journal of Mathematical Chemistry
摘要：In this paper, we discuss an efficient numerical method to obtain all solutions of fractional Gelfand equation with Dirichlet boundary condition. More precisely, we derive a good initial value motivated by the bifurcation curve of fractional Gelfand equation. It is obvious to see that the number of solutions depends on the value of parameter in fractional Gelfand equation. By collocation technique and finite difference method, numerical solutions can be found very quickly based on Newton iteration method with the aid of such initial guess. Numerical simulation for one-dimensional fractional Gelfand equation are provided, which demonstrates the accuracy and easy-to-implement of our algorithm.
第一作者：Lei Liu
论文类型：期刊论文
通讯作者：Yufeng Xu
学科门类：理学
一级学科：数学
文献类型：J
卷号：63
页面范围：651--665
是否译文：否
发表时间：2025-03-01
收录刊物：SCI