An Efficient Algorithm based on the Cubic Spline for the Solution of Bratu-Type Equation

Autor:	Mohammad H. Al-Towaiq, Osama Ala’yed
Rok vydání:	2014
Předmět:	Mathematical optimization Hermite spline Applied Mathematics Cornacchia's algorithm MathematicsofComputing_NUMERICALANALYSIS Monotone cubic interpolation Cubic Hermite spline Smoothing spline M-spline Applied mathematics Spline interpolation Thin plate spline Analysis Mathematics
Zdroj:	Journal of Interdisciplinary Mathematics. 17:471-484
ISSN:	2169-012X 0972-0502
DOI:	10.1080/09720502.2013.842050
Popis:	In this paper, we propose an algorithm using the cubic spline interpolation on the finite difference method to solve the Bratu-type equation. The algorithm has been successfully implemented. Numerical results are also given to demonstrate the validity and the applicability of the proposed algorithm. The results we obtained show that the proposed algorithm perform better than some existing methods in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b5dc3b25ea650e3712d7abede29d07ab https://doi.org/10.1080/09720502.2013.842050 Zobrazit plný text záznamu