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文件名称:FRACTIONAL_DIFFERINTEGRAL

  • 所属分类：
  • 数学计算/工程计算
  • 资源属性：
  • [Matlab] [源码]
  • 上传时间：
  • 2014-04-03
  • 文件大小：
  • 235kb
  • 下载次数：
  • 0次
  • 提 供 者：
  • 1**
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通过傅里叶扩展计算的微分和积分函数，十分有用。-Descr iption　　

　The n-th order derivative or integral of a function defined in a given

　range [a,b] is calculated through Fourier series expansion, where n is

　any real number and not necessarily integer. The necessary integrations

　are performed with the Gauss-Legendre quadrature rule. Selection for the

　number of desired Fourier coefficient pairs is made as well as for the

　number of the Gauss-Legendre integration points.

　Unlike many publicly available functions, the Gauss integration points k

　can be calculated for k>=46. The algorithm does not rely on the build-in

　Matlab routine　roots　to determine the roots of the Legendre polynomial,

　but finds the roots by looking for the eigenvalues of an alternative

　version of the companion matrix of the k th degree Legendre polynomial.

　The companion matrix is constructed as a symmetrical matrix, guaranteeing

　that all the eigenvalues (roots) will be real. On the contrary, the

　 roots　function us
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FRACTIONAL_DIFFERINTEGRAL\cubic_polynomial_differintegral.m

.........................\fourier.m

.........................\fourier_diffint.m

.........................\html\cubic_polynomial_differintegral.html

.........................\....\cubic_polynomial_differintegral.png

.........................\....\cubic_polynomial_differintegral_01.png

.........................\....\cubic_polynomial_differintegral_02.png

.........................\....\cubic_polynomial_differintegral_03.png

.........................\....\cubic_polynomial_differintegral_eq33319.png

.........................\....\cubic_polynomial_differintegral_eq43362.png

.........................\....\cubic_polynomial_differintegral_eq45880.png

.........................\....\cubic_polynomial_differintegral_eq47863.png

.........................\....\cubic_polynomial_differintegral_eq62195.png

.........................\....\cubic_polynomial_differintegral_eq66619.png

.........................\....\cubic_polynomial_differintegral_eq71312.png

.........................\....\cubic_polynomial_differintegral_eq76742.png

.........................\....\cubic_polynomial_differintegral_eq83100.png

.........................\....\cubic_polynomial_differintegral_eq85163.png

.........................\....\cubic_polynomial_differintegral_eq86385.png

.........................\....\cubic_polynomial_differintegral_eq90533.png

.........................\....\cubic_polynomial_differintegral_eq91427.png

.........................\....\cubic_polynomial_differintegral_eq92095.png

.........................\....\cubic_polynomial_differintegral_eq95823.png

.........................\....\cubic_polynomial_differintegral_eq99834.png

.........................\....\identity_function_differintegral.html

.........................\....\identity_function_differintegral.png

.........................\....\identity_function_differintegral_01.png

.........................\....\identity_function_differintegral_02.png

.........................\....\identity_function_differintegral_eq33319.png

.........................\....\identity_function_differintegral_eq43362.png

.........................\....\identity_function_differintegral_eq45880.png

.........................\....\identity_function_differintegral_eq47863.png

.........................\....\identity_function_differintegral_eq62195.png

.........................\....\identity_function_differintegral_eq66619.png

.........................\....\identity_function_differintegral_eq71312.png

.........................\....\identity_function_differintegral_eq76742.png

.........................\....\identity_function_differintegral_eq83100.png

.........................\....\identity_function_differintegral_eq85163.png

.........................\....\identity_function_differintegral_eq86385.png

.........................\....\identity_function_differintegral_eq90533.png

.........................\....\identity_function_differintegral_eq91427.png

.........................\....\identity_function_differintegral_eq92095.png

.........................\....\identity_function_differintegral_eq95823.png

.........................\....\identity_function_differintegral_eq99834.png

.........................\....\tabular_function_differintegral.html

.........................\....\tabular_function_differintegral.png

.........................\....\tabular_function_differintegral_01.png

.........................\....\tabular_function_differintegral_02.png

.........................\....\tabular_function_differintegral_03.png

.........................\....\tabular_function_differintegral_eq33319.png

.........................\....\tabular_function_differintegral_eq43362.png

.........................\....\tabular_function_differintegral_eq45880.png

.........................\....\tabular_function_differintegral_eq47863.png

.........................\....\tabular_function_differintegral_eq62195.png

.........................\....\tabular_function_differintegral_eq66619.png

.........................\....\tabular_function_differintegral_eq71312.png

.........................\....\tabular_fun

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