Regularization of Abel's equation of first kind

Ping Wang, Kewang Zheng

Research output: Contribution to journalArticle

Abstract

Abel's equation of first kind with ill-posed natures is studied in this article. The stable approximate solution is obtained by using the well-known Tikhonov's regularization approach. Numerical computations are conducted to generate the approximate solutions for a concrete equation to demonstrate the applicability and effectiveness of our method.

Original languageEnglish (US)
Pages (from-to)131-140
Number of pages10
JournalIntegral Transforms and Special Functions
Volume10
Issue number2
DOIs
StatePublished - Jan 1 2000

Fingerprint

Abel Equation
Regularization
Approximate Solution
Concretes
Tikhonov Regularization
Numerical Computation
Demonstrate

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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title = "Regularization of Abel's equation of first kind",
abstract = "Abel's equation of first kind with ill-posed natures is studied in this article. The stable approximate solution is obtained by using the well-known Tikhonov's regularization approach. Numerical computations are conducted to generate the approximate solutions for a concrete equation to demonstrate the applicability and effectiveness of our method.",
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Regularization of Abel's equation of first kind. / Wang, Ping; Zheng, Kewang.

In: Integral Transforms and Special Functions, Vol. 10, No. 2, 01.01.2000, p. 131-140.

Research output: Contribution to journalArticle

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