@article{Arabameri2024, 
author = {Maryam Arabameri and Raziyeh Gharechahi and Taher A. Nofal and Hijaz Ahmad},
title = {A nonstandard compact finite difference method for a truncated Bratu–Picard model},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {27557-27576},
keywords = {truncated Bratu–Picard model, boundary value problems, nonstandard compact finite difference methods},
url = {https://www.sciopen.com/article/10.3934/math.20241338},
doi = {10.3934/math.20241338},
abstract = {In this paper, we used the nonstandard compact finite difference method to numerically solve one-dimensional truncated Bratu-Picard equations and discussed the convergence analysis of the proposed method. Depending on the parameters in the mentioned equation, it may have no solution, one solution, or two solutions; also, it may have infinitely many solutions. The numerical results show that our method covers all mentioned aspects depending on the parameters in the equation.}
}