{"title":"Solving microwave heating model in a slab using shooting technique","authors":"P. Olanrewaju, R. Ayeni, O. Adebimpe","doi":"10.4314/JONAMP.V11I1.40255","DOIUrl":null,"url":null,"abstract":"We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532