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一类热传导自由边界问题的数值解法
  • ISSN号：1007-824X
  • 期刊名称：扬州大学学报(自然科学版)
  • 时间：0
  • 页码：1102-1106
  • 语言：中文
  • 分类：O175.2[理学—数学;理学—基础数学] O241.8[理学—计算数学;理学—数学]
  • 作者机构：[1]扬州大学数学科学学院,江苏扬州225002, [2]盐城工学院基础部,江苏盐城224003
  • 相关基金：国家自然科学基金资助项目（10671172,10801115）;江苏省自然科学基金资助项目（BK2006064）;扬州大学研究生培养创新工程项目
  • 相关项目：数学生态学中的某些非线性偏微分方程研究
作者： 田灿荣|凌智|
关键词： 自由边界问题, 泰勒级数, 数值解, free boundary problem, Taylor series, numerical solution
中文摘要：

考虑一类抛物型偏微分方程的自由边界问题,在进行边界拉直坐标变换后,用泰勒级数展开方法给出该问题数值解的求解过程,这一数值方法计算量小.通过一个具体数值算例对所求的数值解和前人已经获得的解析解进行误差比较,发现其效果理想.

英文摘要：

This paper deals with a free boundary problem of parabolic partial differential equations. Numerical computation is carried out by using a transformation of variables and Taylor series methods. It is shown that the method with little amount of computation is feasible by comparing the numei＇ical result with the exact solution.

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期刊信息
  • 《扬州大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:江苏省教育厅
  • 主办单位:扬州大学
  • 主编：郭荣
  • 地址：江苏省扬州市大学南路88号
  • 邮编：225009
  • 邮箱：xuebaozr01@mail.yzu.edu.cn
  • 电话：0514-7971607
  • 国际标准刊号：ISSN：1007-824X
  • 国内统一刊号：ISSN：32-1472/N
  • 邮发代号:28-48
  • 获奖情况:
  • 全国高校自然科学学报一等奖,第三届江苏省双十佳期刊,江苏省高校自然科学学报一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国生物科学数据库,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:3109