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Wavelet methods for solving partial differential equations and fractional differential equations / Santanu Saha Ray and Arun Kumar Gupta.

By: Contributor(s): Material type: TextTextPublication details: Boca Raton : CRC Press, ©2018.Description: xxxvii, 273 pages : illustrations ; 26 cmISBN:
  • 9781138053816
Subject(s): DDC classification:
  • 515.353 23 Sa131
Contents:
1. Numerous analytical and numerical methods -- 2. Numerical solution of partial differential equations by Haar wavelet method -- 3. Numerical solution of a system of partial differential equations -- 4. Numerical solution of fractional differential equations by the Haar wavelet method -- 5. Application of LEgendre wavelet methods for the numerical solution of fractional differential equations -- 6. Application of Chebyshev wavelet methods for numerical simulation of fractional differential equations -- 7. Application of the hermite wavelet method for numerical simulation of fractional differential equations -- 8. Implementation of the Petrov-Galerkin method for solving fractional partial differential equations.
Summary: The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.
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Includes bibliographical references and index.

1. Numerous analytical and numerical methods --
2. Numerical solution of partial differential equations by Haar wavelet method --
3. Numerical solution of a system of partial differential equations --
4. Numerical solution of fractional differential equations by the Haar wavelet method --
5. Application of LEgendre wavelet methods for the numerical solution of fractional differential equations --
6. Application of Chebyshev wavelet methods for numerical simulation of fractional differential equations --
7. Application of the hermite wavelet method for numerical simulation of fractional differential equations --
8. Implementation of the Petrov-Galerkin method for solving fractional partial differential equations.

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.

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