A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem

2016 ◽  
Vol 94 (3) ◽  
pp. 597-619 ◽  
Author(s):  
Malihe Rostamian ◽  
Alimardan Shahrezaee
Keyword(s):  
Numerical Solution ◽  
Meshless Method ◽  
Reaction Diffusion ◽  
Convection Problem ◽  
Diffusion Convection

An Integral Formulation Approach for Numerical Solution of Tubular Reactors Models

2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Eliseo Hernandez-Martinez ◽  
Jose Alvarez-Ramirez ◽  
Francisco J. Valdes-Parada ◽  
Hector Puebla
Keyword(s):  
Boundary Conditions ◽  
Numerical Solution ◽  
Tubular Reactor ◽  
Reaction Diffusion ◽  
Integral Formulation ◽  
Tubular Reactors ◽  
Type Boundary ◽  
Reactor Models ◽  
Diffusion Convection ◽  
Direct Incorporation

In this paper, we derive an integral formulation approach based on Green’s function for the numerical solution of tubular reactor models described by reaction-diffusion-convection (RDC) equations with Danckwerts-type boundary conditions. The integral formulation approach allows the direct incorporation of boundary conditions and leads to a stable and accurate numerical integration with smooth round-off error. Numerical simulations of two of tubular reactors models are presented in order to illustrate the numerical accuracy of the method. The results are compared with those resulting from using standard finite difference method. Our results show that the integral formulation approach improves the performance of classical FD schemes.

scholarly journals Numerical solution of the unsteady diffusion-convection-reaction equation based on improved spectral Galerkin method

AIP Advances ◽  
2018 ◽  
Vol 8 (4) ◽  
pp. 045314 ◽  
Author(s):  
Jiaqi Zhong ◽  
Cheng Zeng ◽  
Yupeng Yuan ◽  
Yuzhe Zhang ◽  
Ye Zhang
Keyword(s):  
Galerkin Method ◽  
Numerical Solution ◽  
Reaction Equation ◽  
Spectral Galerkin Method ◽  
Diffusion Convection
Sign in / Sign up

Export Citation Format

Share Document