Kazem, S, Chadwick, EA, Hatam, A and Deghan, M 2015, 'Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions' , Numerical Algorithms , pp. 1-28.
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In this article, our main goal is to develop an idea to convert an implicit (3,3) Ø-scheme finite difference method to an explicit form for both linear and nonlinear diffusion equations and also for nonlinear advection-diffusion equation with different boundary conditions. Accordingly, we assist power series generating functions which are a routine method in discrete mathematics. Also, the stability analysis of Ø–scheme to implement in nonlinear advection–diffusion equation has been investigated. Finally, the new approach has been implemented for Fisher, reaction–diffusion, Burgers and coupled Burgers equations as test problems to verify the ability and efficiency of the method proposed in this paper.
|Schools:||Schools > School of Computing, Science and Engineering|
|Journal or Publication Title:||Numerical Algorithms|
|Funders:||Non funded research|
|Depositing User:||EA Chadwick|
|Date Deposited:||01 Dec 2015 14:27|
|Last Modified:||01 Dec 2015 14:27|
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