✦ LIBER ✦

Unified Finite Integral Transform Analysis

✍ Scribed by M.D. Mikhailov; M.N. Özişik

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 474 KB
Volume: 321
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(86)90016-5

No coin nor oath required. For personal study only.

✦ Synopsis

A special matrix is introduced, the elements of which are zero or jrst-order operators. This matrix is used to dejne the initial boundary value problem which covers a wide class ofengineering applications. To bring the solution of the problem within the realm of integral transform theory, a new jnite integral transform and the corresponding inversion formula are &veIoped. The necessary orthogonality relations is derived using an extension of the Gauss-Green theorem. The formal solution obtained here can be applied to study heat coizduction problems, elasticity problems, etc.

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