Description
This authoritative text presents a comprehensive treatment of spectral and spectral element methods applied to fractional ordinary and partial differential equations. Written by leading experts in computational mathematics, the book bridges theory and practice by providing rigorous mathematical foundations alongside practical algorithmic implementations.
The authors address the unique challenges posed by fractional calculus, including non-local operators and memory effects, and demonstrate how spectral methods can effectively handle these complexities. The text covers essential topics such as Fourier and Chebyshev spectral methods, Galerkin formulations, and hp-finite element approaches tailored for fractional problems.
Ideal for graduate students, researchers, and practitioners in applied mathematics, physics, and engineering, this book combines theoretical insights with computational strategies. Readers will gain deep understanding of fractional differential equations and learn to implement efficient, accurate numerical solutions using modern spectral techniques.
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