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A general procedure for deriving solutions of dual integral equations

โœ Scribed by C. Nasim; I. N. Sneddon

Publisher
Springer
Year
1978
Tongue
English
Weight
397 KB
Volume
12
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

In this paper there is developed an operational procedure for deriving solutions of dual integral equations of a general type -equations (1.1) and (1.2) below. The method depends strongly on properties of the Mellin transform. To illustrate the application of the method solutions are derived of the elementary type of dual integral equations occurring in engineering applications. The method is then applied to the solution of dual integral equations of Titchmarsh type and to those involving Y-and K-transforms.

๐Ÿ“œ SIMILAR VOLUMES

Solution of a system of dual integral eq
Solution of a system of dual integral equations
โœ J. Buell; H. Kagiwada; R. Kalaba; E. Ruspini; E. Zagustin ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 418 KB
A generalized integral quadratic method:
A generalized integral quadratic method: I. an efficient solution for one-dimensional Volterra integral equation
โœ A. Zerarka; A. Soukeur ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

This paper deals with the generalized integral quadratic method (called GIQ) to the system of Volterra integral equations. The linear treatment of the system as well as the nonlinear treatment have been developed. The numerical examples are also presented.