{"title":"Differential quadrature method for some diffusion-reaction problems","authors":"M. Szukiewicz","doi":"10.24425/CPE.2019.130219","DOIUrl":null,"url":null,"abstract":"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).","PeriodicalId":55267,"journal":{"name":"Chemical and Process Engineering-Inzynieria Chemiczna I Procesowa","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chemical and Process Engineering-Inzynieria Chemiczna I Procesowa","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.24425/CPE.2019.130219","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 1
Abstract
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).
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.
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