Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10910-005-9011-7
Title: Application of binomial coefficients in representing central difference solution to a class of PDE arising in chemistry
Authors: Lim, T.-C. 
Keywords: Binomial coefficient
Finite difference
Partial differential
Pascal's triangle
Issue Date: Jan-2006
Citation: Lim, T.-C. (2006-01). Application of binomial coefficients in representing central difference solution to a class of PDE arising in chemistry. Journal of Mathematical Chemistry 39 (1) : 177-186. ScholarBank@NUS Repository. https://doi.org/10.1007/s10910-005-9011-7
Abstract: The use of differential equations for modeling chemical systems and solving by numerical approaches (e.g. finite difference methods) are prevalent in chemistry-related problems. As an extension to the direct use of Pascal's Triangle to obtain the forward and backward difference equations to partial differentials by Lim [Mathematical Medley 31 (2004) 2], this paper proposes the use of binomial coefficient to generate central difference equations to odd-ordered partial differentials in a single-step operation. All finite difference equations to partial differentials shown herein display finite series of palindromic coefficients with alternating signs. © 2005 Springer Science+Business Media, Inc.
Source Title: Journal of Mathematical Chemistry
URI: http://scholarbank.nus.edu.sg/handle/10635/112577
ISSN: 02599791
DOI: 10.1007/s10910-005-9011-7
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

2
checked on Jun 19, 2018

WEB OF SCIENCETM
Citations

3
checked on Jun 19, 2018

Page view(s)

30
checked on Jun 8, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.