Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (3): 347-355.

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A new exploration of the inverse operator solution for a kind of strong nonliear partial differential equations with initial-boundary value problems

  

  1. taiyuan university of technology,shanxi 030024
  • Online:1999-08-03 Published:1999-08-03

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Abstract:

　Ｂｙ ｍｅａｎｓ ｏｆ ｔｈｅ Ｉｎｖｅｒｓｅ Ｏｐｅｒａｔｏｒ Ｍｅｔｈｏｄ， ｔｈｅ ａｐｐｒｏｘｉｍａｔｅ ａｎａｌｙｔｉｃ ｓｏｌｕｔｉｏｎ ｆｏｒ ｔｈｅ ｍａｔｈｅｍａｔｉｃａｌ ｍｏｄｅｌ ｏｆ ｔｈｅ ｐａｃｋｅｄ ｂｅｄ ｃａｔａｌｙｔｉｃ ｒｅａｃｔｏｒ （ｉ．ｅ．ａｋｉｎｄ ｏｆ ｓｔｒｏｎｇ ｎｏｎｌｉｎｅｒ ｐａｒｔｉａｌ ｄｉｆｆｅｒｅｎｔｉａｌ ｅｑｕａｔｉｏｎｓ  ｗｉｔｈ ｉｎｉｔｉａｌ-ｂｏｕｎｄａｒｙ ｖａｌｕｅ ｐｒｏｂｌｅｍｓ） ａｒｅ ｓｔｕｄｉｅｄ．Ａ ｎｅｗ ｔｅｃｈｎｉｑｕｅ，ｗｈｉｃｈ ｒｅｐｌａｃｅｓ‘ｔｈｅ ａｒｉｔｈｍｅｔｉｃ ｍｅａｎ ｏｆ ｔｈｅ ｐａｒｔｉａｌ ｓｏｌｕｔｉｏｎｓ’ｂｙ ‘ｔｈｅ ｇｅｏｍｅｔｒｙ ｍｅａｎ ｏｆ ｔｈｅ ｐａｒｔｉａｌ ｓｏｌｕｔｉｏｎｓ’， ｉｓ ｐｕｔ ｆｏｒｗａｒｄ． Ｔｈｅ ｔｅｃｈｎｉｑｕｅ ｌｅｄｓ ｔｈａｔ ｔｈｅ ａｐｐｏｘｉｍａｔｅ ａｎａｌｙｔｉｃ ｓｏｌｕｔｉｏｎｓ ａｒｅ ｇｉｖｅｎ ｒｅａｓｏｎａｂｌｙ．

Key words: 　Ｓｔｒｏｎｇｎｏｎｌｉｎｅａｒｉｔｙ, Ａｐｐｒｏｘｉｍａｔｅａｎａｌｙｔｉｃｓｏｌｕｔｉｏｎ, Ｉｎｖｅｒｓｅｏｐｅｒａｔｏｒｍｅｔｈｏｄ, Ｐａｒｔｉａｌｓｏｌｕｔｉｏｎ, Ｃａｔａｌｙｔｉｃｒｅａｃｔｏｒ．

CLC Number: 

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