Methods of Mathematical Modelling (Record no. 54588)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 05420cam a2200565Mu 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429274114 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | FlBoTFG |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220414100031.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190921s2019 xx o 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | OCoLC-P |
| Language of cataloging | eng |
| Transcribing agency | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000596786 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000596788 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429274114 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429274114 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000606485 |
| Qualifying information | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000606481 |
| Qualifying information | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000601633 |
| Qualifying information | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1000601633 |
| Qualifying information | (electronic bk. : Mobipocket) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1120689683 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1120689683 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | TA342 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | TEC |
| Subject category code subdivision | 009060 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | TEC |
| Subject category code subdivision | 020000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 003000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKJ |
| Source | bicssc |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.35 |
| Edition number | 23 |
| 245 00 - TITLE STATEMENT | |
| Title | Methods of Mathematical Modelling |
| Medium | [electronic resource] : |
| Remainder of title | Fractional Differential Equations. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Milton : |
| Name of publisher, distributor, etc. | CRC Press LLC, |
| Date of publication, distribution, etc. | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (255 p.). |
| 490 1# - SERIES STATEMENT | |
| Series statement | Mathematics and Its Applications |
| 500 ## - GENERAL NOTE | |
| General note | Description based upon print version of record. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover; Half Title; Series Page; Title Page; Copyright Page; Contents; Preface; Editors; Contributors; 1 Mathematical Analysis and Simulation of Chaotic Tritrophic Ecosystem Using Fractional Derivatives with Mittag-Leffler Kernel; 1.1 Introduction; 1.2 Method of Approximation of Fractional Derivative; 1.3 Model Equations and Stability Analysis; 1.3.1 Fractional Food Chain Dynamics with Holling Type II Functional Response; 1.3.2 Multi-Species Ecosystem with a Beddington-DeAngelis Functional Response; 1.4 Numerical Experiment for Fractional Reaction-Diffusion Ecosystem; 1.5 Conclusion |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4 A New Approximation Scheme for Solving Ordinary Differential Equation with Gomez-Atangana-Caputo Fractional Derivative4.1 Introduction; 4.2 A New Numerical Approximation; 4.2.1 Error Estimate; 4.3 Application; 4.3.1 Example 1; 4.3.2 Example 2; 4.3.3 Example 3; 4.4 Conclusion; References; 5 Fractional Optimal Control of Diffusive Transport Acting on a Spherical Region; 5.1 Introduction; 5.2 Preliminaries; 5.3 Formulation of Axis-Symmetric FOCP; 5.3.1 Half Axis-Symmetric Case; 5.3.2 Complete Axis-Symmetric Case; 5.4 Numerical Results; 5.5 Conclusions; References |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6 Integral-Balance Methods for the Fractional Diffusion Equation Described by the Caputo-Generalized Fractional Derivative6.1 Introduction; 6.2 Fractional Calculus News; 6.3 Basics Calculus for the Integral-Balance Methods; 6.4 Integral-Balance Methods; 6.4.1 Approximation with the HBIM; 6.4.2 Approximation with DIM; 6.5 Approximate Solutions of the Generalized Fractional Diffusion Equations; 6.5.1 Quadratic Profile; 6.5.2 Cubic Profile; 6.6 Myers and Mitchell Approach for Exponent n; 6.6.1 Residual Function; 6.6.2 At Boundary Conditions; 6.6.3 Outsides of Boundary Conditions |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.7 ConclusionReferences; 7 A Hybrid Formulation for Fractional Model of Toda Lattice Equations; 7.1 Introduction; 7.2 Basic Idea of HATM with Adomian's Polynomials; 7.3 Application to the Toda Lattice Equations; 7.4 Numerical Result and Discussion; 7.5 Concluding Remarks; Acknowledgements; References; 8 Fractional Model of a Hybrid Nanofluid; 8.1 Introduction; 8.2 Problem's Description; 8.3 Generalization of Local Model; 8.4 Solution of the Problem; 8.4.1 Solutions of the Energy Equation; 8.4.2 Solution of Momentum Equation; 8.5 Results and Discussion; 8.6 Concluding Remarks; Acknowledgment |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | OCLC-licensed vendor bibliographic record. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | TECHNOLOGY / Engineering / Industrial |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | TECHNOLOGY / Manufacturing |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Applied |
| Source of heading or term | bisacsh |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Fractional differential equations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Singh, Harendra. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kumar, Devendra. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Baleanu, D. |
| Fuller form of name | (Dumitru) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Taylor & Francis |
| Uniform Resource Identifier | <a href="https://www.taylorfrancis.com/books/9780429274114">https://www.taylorfrancis.com/books/9780429274114</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | OCLC metadata license agreement |
| Uniform Resource Identifier | <a href="http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf">http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf</a> |
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