Advanced numerical and semi analytical methods for differential equations / (Record no. 649126)
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| 001 - CONTROL NUMBER | |
| control field | on1090728073 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250919141840.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |n||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190506s2019 nju ob 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 2019022130 |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER | |
| National bibliography number | GBB969443 |
| Source | bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER | |
| Record control number | 019364164 |
| Source | Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119423447 |
| Qualifying information | (Adobe PDF) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1119423449 |
| Qualifying information | (Adobe PDF) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119423430 |
| Qualifying information | (ePub) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1119423430 |
| Qualifying information | (ePub) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781119423461 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1119423465 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781119423423 |
| Qualifying information | (hardcover) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1119423422 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000065220438 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHNEW |
| System control number | 001050882 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHVBK |
| System control number | 567422356 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | UKMGB |
| System control number | 019364164 |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000066138037 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1090728073 |
| Canceled/invalid control number | (OCoLC)1090853738 |
| -- | (OCoLC)1091145901 |
| -- | (OCoLC)1117875324 |
| -- | (OCoLC)1119738727 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9781119423430 |
| Source of stock number/acquisition | Wiley |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | DLC |
| Modifying agency | NST |
| -- | EBLCP |
| -- | YDX |
| -- | DG1 |
| -- | RECBK |
| -- | UKMGB |
| -- | OCLCO |
| -- | UIU |
| -- | OCLCF |
| -- | OCLCQ |
| -- | UMI |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | pcc |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 050 10 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA372 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 005000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 034000 |
| Source | bisacsh |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.35 |
| Edition information | 23 |
| 245 00 - TITLE STATEMENT | |
| Title | Advanced numerical and semi analytical methods for differential equations / |
| Statement of responsibility, etc. | Snehashish Chakraverty (National Institute of Technology Rourkela, Odisha, India) [and three others]. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Hoboken, NJ : |
| Name of producer, publisher, distributor, manufacturer | John Wiley & Sons, Inc., |
| Date of production, publication, distribution, manufacture, or copyright notice | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 500 ## - GENERAL NOTE | |
| General note | Includes index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Print version record and CIP data provided by publisher; resource not viewed. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Title Page; Copyright; Contents; Acknowledgments; Preface; Chapter 1 Basic Numerical Methods; 1.1 Introduction; 1.2 Ordinary Differential Equation; 1.3 Euler Method; 1.4 Improved Euler Method; 1.5 Runge-Kutta Methods; 1.5.1 Midpoint Method; 1.5.2 Runge-Kutta Fourth Order; 1.6 Multistep Methods; 1.6.1 Adams-Bashforth Method; 1.6.2 Adams-Moulton Method; 1.7 Higher-Order ODE; References; Chapter 2 Integral Transforms; 2.1 Introduction; 2.2 Laplace Transform; 2.2.1 Solution of Differential Equations Using Laplace Transforms; 2.3 Fourier Transform |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.3.1 Solution of Partial Differential Equations Using Fourier TransformsReferences; Chapter 3 Weighted Residual Methods; 3.1 Introduction; 3.2 Collocation Method; 3.3 Subdomain Method; 3.4 Least-square Method; 3.5 Galerkin Method; 3.6 Comparison of WRMs; References; Chapter 4 Boundary Characteristics Orthogonal Polynomials; 4.1 Introduction; 4.2 Gram-Schmidt Orthogonalization Process; 4.3 Generation of BCOPs; 4.4 Galerkin's Method with BCOPs; 4.5 Rayleigh-Ritz Method with BCOPs; References; Chapter 5 Finite Difference Method; 5.1 Introduction; 5.2 Finite Difference Schemes |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.2.1 Finite Difference Schemes for Ordinary Differential Equations5.2.1.1 Forward Difference Scheme; 5.2.1.2 Backward Difference Scheme; 5.2.1.3 Central Difference Scheme; 5.2.2 Finite Difference Schemes for Partial Differential Equations; 5.3 Explicit and Implicit Finite Difference Schemes; 5.3.1 Explicit Finite Difference Method; 5.3.2 Implicit Finite Difference Method; References; Chapter 6 Finite Element Method; 6.1 Introduction; 6.2 Finite Element Procedure; 6.3 Galerkin Finite Element Method; 6.3.1 Ordinary Differential Equation; 6.3.2 Partial Differential Equation |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.4 Structural Analysis Using FEM6.4.1 Static Analysis; 6.4.2 Dynamic Analysis; References; Chapter 7 Finite Volume Method; 7.1 Introduction; 7.2 Discretization Techniques of FVM; 7.3 General Form of Finite Volume Method; 7.3.1 Solution Process Algorithm; 7.4 One-Dimensional Convection-Diffusion Problem; 7.4.1 Grid Generation; 7.4.2 Solution Procedure of Convection-Diffusion Problem; References; Chapter 8 Boundary Element Method; 8.1 Introduction; 8.2 Boundary Representation and Background Theory of BEM; 8.2.1 Linear Differential Operator; 8.2.2 The Fundamental Solution |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.2.2.1 Heaviside Function8.2.2.2 Dirac Delta Function; 8.2.2.3 Finding the Fundamental Solution; 8.2.3 Green's Function; 8.2.3.1 Green's Integral Formula; 8.3 Derivation of the Boundary Element Method; 8.3.1 BEM Algorithm; References; Chapter 9 Akbari-Ganji's Method; 9.1 Introduction; 9.2 Nonlinear Ordinary Differential Equations; 9.2.1 Preliminaries; 9.2.2 AGM Approach; 9.3 Numerical Examples; 9.3.1 Unforced Nonlinear Differential Equations; 9.3.2 Forced Nonlinear Differential Equation; References; Chapter 10 Exp-Function Method; 10.1 Introduction; 10.2 Basics of Exp-Function Method |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This student-friendly book deals with various approaches for solving differential equations numerically or semi-analytically depending on the type of equations and offers simple example problems to help readers along. Featuring both traditional and recent methods, Advanced Numerical and Semi Analytical Methods for Differential Equations begins with a review of basic numerical methods. It then looks at Laplace, Fourier, and weighted residual methods for solving differential equations. A new challenging method of Boundary Characteristics Orthogonal Polynomials (BCOPs) is introduced next. The book then discusses Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM), and Boundary Element Method (BEM). Following that, analytical/semi analytic methods like Akbari Ganji's Method (AGM) and Exp-function are used to solve nonlinear differential equations. Nonlinear differential equations using semi-analytical methods are also addressed, namely Adomian Decomposition Method (ADM), Homotopy Perturbation Method (HPM), Variational Iteration Method (VIM), and Homotopy Analysis Method (HAM). Other topics covered include: emerging areas of research related to the solution of differential equations based on differential quadrature and wavelet approach; combined and hybrid methods for solving differential equations; as well as an overview of fractal differential equations. Further, uncertainty in term of intervals and fuzzy numbers have also been included, along with the interval finite element method. This book: Discusses various methods for solving linear and nonlinear ODEs and PDEs Covers basic numerical techniques for solving differential equations along with various discretization methods Investigates nonlinear differential equations using semi-analytical methods Examines differential equations in an uncertain environment Includes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations Contains solved example problems, as well as some unsolved problems for self-validation of the topics covered Advanced Numerical and Semi Analytical Methods for Differential Equations is an excellent text for graduate as well as post graduate students and researchers studying various methods for solving differential equations, numerically and semi-analytically. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations |
| General subdivision | Numerical solutions. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Calculus. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Mathematical Analysis. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst00893446 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Chakraverty, Snehashish, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Title | Advanced numerical and semi analytical methods for differential equations. |
| Place, publisher, and date of publication | Hoboken, NJ : John Wiley & Sons, Inc., 2019 |
| International Standard Book Number | 9781119423423 |
| Record control number | (DLC) 2019000080 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://eresourcesptsl.ukm.remotexs.co/user/login?url=https://doi.org/10.1002/9781119423461">https://eresourcesptsl.ukm.remotexs.co/user/login?url=https://doi.org/10.1002/9781119423461</a> |
| Public note | Wiley Online Library |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) | |
| a | .b16817175 |
| b | 2022-11-03 |
| c | 2020-07-17 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Suppress in OPAC | No |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) | |
| Library | |
| Operator's initials, OID (RLIN) | 2020-07-17 |
| Cataloger's initials, CIN (RLIN) | m |
| Material Type (Sierra) | E-Book |
| Language | English |
| Country | |
| -- | 0 |
| -- | .b16817175 |
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