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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 |
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