Solving coupled Lane-Emden equations arising in catalytic diffusion reactions by reproducing kernel Hilbert space method

DOI

10.2991/asei-15.2015.105How to use a DOI?

Keywords

coupled Lane-Emden equation, boundary value problem, singular behavior, reproducing kernel Hilbert space method

Abstract

In this paper, we solve coupled Lane-Emden equations arising in catalytic diffusion reaction by reproducing kernel Hilbert space method. First, we construct a reproducing kernel Hilbert space satisfying boundary value conditions and provide an iterative method to obtain the approximate solution. Then we present four numerical example to show our method is accurate and reliable.Our method overcomes the singular behavior at x = 0. Finally we compare our method with ADM and Modified ADM on the maximal error remainder, which demonstrates an approximate exponential rate of convergence.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Tianchu Hao
AU  - Songhe Song
PY  - 2015/05
DA  - 2015/05
TI  - Solving coupled Lane-Emden equations arising in catalytic diffusion reactions by reproducing kernel Hilbert space method
BT  - Proceedings of the 2015 International conference on Applied Science and Engineering Innovation
PB  - Atlantis Press
SP  - 529
EP  - 536
SN  - 2352-5401
UR  - https://doi.org/10.2991/asei-15.2015.105
DO  - 10.2991/asei-15.2015.105
ID  - Hao2015/05
ER  -