Multiple integral equations arising in the theory of water waves
β Scribed by S.R. Manam
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 211 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
A quick method of solution for multiple integral equations which are defined over a partition consisting of three intervals of the positive axis and whose kernel is the combination of trigonometric functions has been explained. The solution procedure can be extended to deal with similar integral equations defined over any finite partition of the positive axis. To represent the solution uniquely, certain solvability criteria are obtained in terms of the forcing functions involved. Limiting cases of dual integral equations over two disjoint intervals are discussed.
π SIMILAR VOLUMES
This paper is concerned with a straightforward method of solving a singular integral equation in a double interval arising in the linear theory of water waves. The kernel of the integral equation involves a combination of logarithmic and Cauchy type singularity. The integral equation is solved by ut
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