一类扩散反应问题的微分求积法

IF 0.5 4区工程技术 Q4 ENGINEERING, CHEMICAL

Chemical and Process Engineering-Inzynieria Chemiczna I Procesowa Pub Date : 2023-11-06 DOI:10.24425/CPE.2019.130219

M. Szukiewicz

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引用次数: 1

摘要

本文采用微分正交法求解具有不同边界条件的反应扩散方程的数值解。dqm方法将反应扩散方程(常微分方程)转化为代数方程组。使用Maple®(计算机代数系统类型程序)的内置程序求解得到的系统。使用Maple®程序进行计算。测试问题包括多相催化中应用的反应扩散方程。该方法甚至可以用于相对困难的任务(例如，病态、自由边界问题)。

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Differential quadrature method for some diffusion-reaction problems

In the paper, differential quadrature method (DQM) is used to find numerical solutions of reactiondiffusion equations with different boundary conditions. The DQM-method changes the reactiondiffusion equation (ordinary differential equation) into a system of algebraic equations. The obtained system is solved using built-in procedures of Maple®(Computer Algebra System-type program). Calculations were performed with Maple®program. The test problems include reaction-diffusion equation applied in heterogeneous catalysis. The method can be employed even in relatively hard tasks (e.g. ill-conditioned, free boundary problems).

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来源期刊

Chemical and Process Engineering-Inzynieria Chemiczna I Procesowa 工程技术-工程：化工

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The content, aim and scope of the proposals should comply with the main subject of the journal, i.e. they should deal with mathematical modelling and/or experimental investigations on momentum, heat and mass transfer, unit processes and operations, integrated processes, biochemical engineering, statics and kinetics of chemical reactions. The experiments and modelling may cover different scales and processes ranging from the molecular phenomena up to production systems. The journal language is grammatically correct British English. Chemical and Process Engineering publishes: i) full text research articles, ii) invited reviews, iii) letters to the editor and iv) short communications, aiming at important new results and/or applications. Each of the publication form is peer-reviewed by at least two independent referees.