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The Generalized Fourier Series Method: Bending of Elastic Plates

The Generalized Fourier Series Method: Bending of Elastic Plates

Hardcover

Series: Developments in Mathematics, Book 65

General MathematicsPhysics

ISBN10: 3030558487
ISBN13: 9783030558482
Publisher: Springer Nature
Published: Nov 22 2020
Pages: 254
Weight: 1.22
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
The book presents and explains a general, efficient, and elegant method of approximate solution for boundary value problems for an elliptic system of partial differential equations arising in elasticity theory. The methodology for constructing generalized Fourier series based on the structure of the problem is shown in detail, and all the attending mathematical properties are derived with full rigor. A numerical scheme directly related to the series method is developed and employed to compute approximate solutions, illustrated by a variety of examples.

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General Mathematics