03324oam 2200709I 450 991078840060332120230807210747.00-429-07563-410.1201/b18503 (CKB)2670000000618252(EBL)2057694(SSID)ssj0001547047(PQKBManifestationID)16141143(PQKBTitleCode)TC0001547047(PQKBWorkID)14794636(PQKB)11511679(MiAaPQ)EBC2057694(OCoLC)910237221(EXLCZ)99267000000061825220180331h20152015 uy 0engur|n|---|||||txtccrNumerical methods for fractional calculus /Changpin Li, Department of Mathematics, Shanghai University, China; Fanhai Zeng, Department of Mathematics, Shanghai University, ChinaBoca Raton :CRC Press,[2015]©20151 online resource (299 p.)Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series ;v.24Description based upon print version of record.1-4822-5380-1 1-4822-5381-X Includes bibliographical references (pages 265-277) and index.Front Cover; Contents; Foreword; Preface; List of Figures; List of Tables; 1. Introduction to Fractional Calculus; 2. Numerical Methods for Fractional Integral and Derivatives; 3. Numerical Methods for Fractional Ordinary Differential Equations; 4. Finite Difference Methods for Fractional Partial Differential Equations; 5. Galerkin Finite Element Methods for Fractional Partial Differential Equations; BibliographyNumerical 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 chChapman & Hall/CRC Numerical Analysis and Scientific Computing SeriesFractional integralsFractional calculusNumerical analysisCalculusHILCCApplied MathematicsHILCCEngineering & Applied SciencesHILCCMathematicsHILCCPhysical Sciences & MathematicsHILCCFractional integralsFractional calculusNumerical analysisCalculusApplied MathematicsEngineering & Applied SciencesMathematicsPhysical Sciences & Mathematics515.83Li Changpin1545617Zeng FanhaiFlBoTFGFlBoTFGBOOK9910788400603321Numerical methods for fractional calculus3849978UNINA