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|Title:||Application of binomial coefficients in representing central difference solution to a class of PDE arising in chemistry|
|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|
|Appears in Collections:||Staff Publications|
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