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Method for establishing improved differential quadrature method based on generalized fourier series

A Fourier series, differential quadrature technology, applied in complex mathematical operations, electrical digital data processing, special data processing applications, etc. Improve the accuracy and ensure the effect of calculation accuracy

Inactive Publication Date: 2017-06-23
SUZHOU UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] At present, there is no combination of generalized Fourier series and differential quadrature method and related literature reports

Method used

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  • Method for establishing improved differential quadrature method based on generalized fourier series
  • Method for establishing improved differential quadrature method based on generalized fourier series
  • Method for establishing improved differential quadrature method based on generalized fourier series

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Embodiment Construction

[0024] The core of the present invention is to provide a method for constructing an improved differential quadrature method based on generalized Fourier series, so as to improve the accuracy of solution results.

[0025] In order to enable those skilled in the art to better understand the solutions of the present invention, the following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only It is a part of embodiments of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0026] Please refer to figure 1 , figure 1 A flow chart of a method for constructing an improved differential quadrature method ...

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Abstract

The invention discloses a method for constructing an improved differential quadrature method based on generalized Fourier series. The method includes: expressing the function to be solved as a Fourier series, and adding Add additional items; according to the boundary conditions, determine the relationship between the additional item coefficients and Fourier series coefficients; discretize the solution domain into independent points, and substitute the Fourier series with additional items into each independent point to form each A relationship matrix between Fourier series coefficients; solving the Fourier series coefficients according to the relationship matrix, and determining a function to be solved. This method improves the accuracy of the solution results.

Description

technical field [0001] The invention relates to the technical field of numerical solution, in particular to a method for constructing an improved differential quadrature method based on generalized Fourier series. Background technique [0002] Currently, solving linear and nonlinear equations or systems of equations is an important task in engineering and science. Since there are only a few cases where analytical solutions can be obtained, everyone focuses on finding approximate solutions or numerical solutions. The differential quadrature method was proposed in 1971, and has attracted more and more attention due to its high calculation accuracy and efficiency. However, there are some defects in the differential quadrature method, that is, inaccurate processing of the elastic boundary of the structural vibration equation, resulting in solution errors and low accuracy of the solution results. [0003] In the method of dealing with structural elastic boundaries, Professor Li...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/13G06F17/14
CPCG06F17/13G06F17/141
Inventor 王刚
Owner SUZHOU UNIV
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