DOI number:10.1007/s10910-024-01689-3
Journal:Journal of Mathematical Chemistry
Abstract: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.
First Author:Lei Liu
Indexed by:Journal paper
Correspondence Author:Yufeng Xu
Discipline:Natural Science
First-Level Discipline:Mathematics
Document Type:J
Volume:63
Page Number:651--665
Translation or Not:no
Included Journals:SCI
Links to published journals:https://doi.org/10.1007/s10910-024-01689-3