First order smooth composite chebyshev finite difference method for solving coupled lane–Emden problem in catalytic diffusion reactions

Soner Aydinlik*, Ahmet Kiris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

A new effective technique based on Chebyshev Finite Difference Method is introduced. First order smoothness of the approximation polynomial at the end points of each sub-interval is imposed in addition to the continuity condition. Both round-off and truncation error analyses are given besides the convergence analysis. Coupled Lane Emden boundary value problem in Catalytic Diffusion Reactions is investigated by using presented method. The obtained results are compared with the existing methods in the literature and it is observed that the proposed method gives more reliable results than the others.

Original languageEnglish
Pages (from-to)463-476
Number of pages14
JournalMatch
Volume87
Issue number2
DOIs
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2021 University of Kragujevac, Faculty of Science. All rights reserved.

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