Advanced numerical and semi-analytical methods for differential equations:
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 si...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ, USA
Wiley
2019
|
| Schlagworte: | |
| Online-Zugang: | FHI01 UBY01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Resource (xvi, 234 Seiten) |
| ISBN: | 9781119423461 |
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| 245 | 1 | 0 | |a Advanced numerical and semi-analytical methods for differential equations |c Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao, National Institute of Technology, Rourkela, Odisha, India |
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| 520 | |a 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). | ||
| 520 | |a 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. | ||
| 520 | |a 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 | ||
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Datensatz im Suchindex
| _version_ | 1804180962010988544 |
|---|---|
| any_adam_object | |
| author | Chakraverty, Snehashish Mahato, Nisha Rani Karunakar, Perumandla Rao, Tharasi Dilleswar |
| author_GND | (DE-588)119200616X (DE-588)1192006259 (DE-588)1192006372 |
| author_facet | Chakraverty, Snehashish Mahato, Nisha Rani Karunakar, Perumandla Rao, Tharasi Dilleswar |
| author_role | aut aut aut aut |
| author_sort | Chakraverty, Snehashish |
| author_variant | s c sc n r m nr nrm p k pk t d r td tdr |
| building | Verbundindex |
| bvnumber | BV046418519 |
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| ctrlnum | (ZDB-35-WEL)8689268 (OCoLC)1141115504 (DE-599)BVBBV046418519 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV046418519 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:44:05Z |
| institution | BVB |
| isbn | 9781119423461 |
| language | English |
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| spelling | Chakraverty, Snehashish Verfasser aut Advanced numerical and semi-analytical methods for differential equations Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao, National Institute of Technology, Rourkela, Odisha, India Hoboken, NJ, USA Wiley 2019 1 Online-Resource (xvi, 234 Seiten) txt rdacontent c rdamedia cr rdacarrier 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 Differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Mahato, Nisha Rani Verfasser (DE-588)119200616X aut Karunakar, Perumandla Verfasser (DE-588)1192006259 aut Rao, Tharasi Dilleswar Verfasser (DE-588)1192006372 aut Erscheint auch als Druck-Ausgabe, Hardcover 978-1-119-42342-3 Erscheint auch als Druck-Ausgabe, Hardcover 1-119-42342-2 https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=8689268 Aggregator URL des Erstveröffentlichers Volltext |
| spellingShingle | Chakraverty, Snehashish Mahato, Nisha Rani Karunakar, Perumandla Rao, Tharasi Dilleswar Advanced numerical and semi-analytical methods for differential equations Differential equations Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4128130-5 |
| title | Advanced numerical and semi-analytical methods for differential equations |
| title_auth | Advanced numerical and semi-analytical methods for differential equations |
| title_exact_search | Advanced numerical and semi-analytical methods for differential equations |
| title_full | Advanced numerical and semi-analytical methods for differential equations Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao, National Institute of Technology, Rourkela, Odisha, India |
| title_fullStr | Advanced numerical and semi-analytical methods for differential equations Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao, National Institute of Technology, Rourkela, Odisha, India |
| title_full_unstemmed | Advanced numerical and semi-analytical methods for differential equations Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao, National Institute of Technology, Rourkela, Odisha, India |
| title_short | Advanced numerical and semi-analytical methods for differential equations |
| title_sort | advanced numerical and semi analytical methods for differential equations |
| topic | Differential equations Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Differential equations Differentialgleichung Numerisches Verfahren |
| url | https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=8689268 |
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