Numerical Methods for Fractional Calculus

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A01=Changpin Li
A01=Fanhai Zeng
ADI Method
ADI Scheme
advanced fractional equation solutions
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Age Group_Uncategorized
algorithm
applied mathematics
Author_Changpin Li
Author_Fanhai Zeng
automatic-update
Backward Euler Method
Caputo Derivative
Category1=Non-Fiction
Category=PBKA
Category=PBKJ
CN Method
computational mathematics
COP=United States
corrector
Delivery_Pre-order
eq_isMigrated=2
eq_nobargain
euler
Euler and linear multistep methods
Euler Method
expansion
Explicit Euler Method
finite element methods for FPDEs
Fractional Calculus
Fractional Derivative Operator
Fractional Derivatives
Fractional Integral
fractional integrals and derivatives
fractional ordinary differential equations
fractional partial differential equations
function
Galerkin Fem
generating
Implicit Euler Method
improve
integral
Language_English
Laplace Transform
Mathematical Induction Method
MATLAB programming
NaN NaN
numerical analysis
numerical fractional calculus
PA=Temporarily unavailable
partial differential equations
predictor
Price_€100 and above
PS=Active
Riemann Liouville Derivative
Riemann Liouville Type
Riemann-Liouville
Riesz Derivative
scientific computing
Semi-discrete Approximation
Semi-discrete Scheme
softlaunch
solving fractional calculus problems
taylor
Time Fractional Derivative
Time Fractional Equations
Time Space Fractional
Unconditionally Stable

Product details

  • ISBN 9781482253801
  • Weight: 720g
  • Dimensions: 156 x 234mm
  • Publication Date: 19 May 2015
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.

The book introduces the basic definitions and properties of fractional integrals and derivatives before covering numerical methods for fractional integrals and derivatives. It then discusses finite difference methods for both FODEs and FPDEs, including the Euler and linear multistep methods. The final chapter shows how to solve FPDEs by using the finite element method.

This book provides efficient and reliable numerical methods for solving fractional calculus problems. It offers a primer for readers to further develop cutting-edge research in numerical fractional calculus. MATLAB® functions are available on the book’s CRC Press web page.

Changpin Li is a full professor at Shanghai University. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Li’s main research interests include numerical methods and computations for FPDEs and fractional dynamics. He was awarded the Riemann–Liouville Award for Best FDA Paper (theory) in 2012. He is on the editorial board of several journals, including Fractional Calculus and Applied Analysis, International Journal of Bifurcation and Chaos, and International Journal of Computer Mathematics.

Fanhai Zeng is visiting Brown University as a postdoc fellow. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Zeng’s research interests include numerical methods and computations for FPDEs.

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