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    Numerical Methods for Fractional Calculus

    Numerical Methods for Fractional Calculus

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    Bog E-bog
    • Format
    • Bog, hardback
    • Engelsk

    Beskrivelse

    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.

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    Detaljer
    • SprogEngelsk
    • Sidetal300
    • Udgivelsesdato19-05-2015
    • ISBN139781482253801
    • Forlag Chapman & Hall/CRC
    • FormatHardback
    Størrelse og vægt
  • Vægt566 g
    • coffee cup img
    10 cm
    book img
    15,6 cm
    23,4 cm

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    Fractional calculus Taylor integral Improve Euler Function Expansion Algorithm Fractional Derivatives Riemann-Liouville Derivative Caputo derivative Fractional Integral Generating Riemann-Liouville Euler Method Laplace-Transform ADI Scheme ADI Method Backward Euler Method corrector CN Method fractional partial differential equations Galerkin Fem finite element methods for FPDEs Fractional Derivative Operator fractional integrals and derivatives Implicit Euler Method Euler and linear multistep methods Mathematical Induction Method Explicit Euler Method Fractional Ordinary Differential Equations NaN NaN numerical fractional calculus Semi-discrete Scheme time fractional derivative Riemann Liouville Type predictor Time Fractional Equations Riesz Derivative solving fractional calculus problems Semi-discrete Approximation Time Space Fractional Unconditionally Stable

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