Advanced Numerical and Semi-Analytical Methods for Differential Equations
By Nisha Mahato, Perumandla Karunakar, Snehashish Chakraverty, Tharasi Dilleswar Rao | Publisher: Wiley
About the book
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.
Editions of Advanced Numerical and Semi-Analytical Methods for Differential Equations
- Hardcover
- ISBN 9781119423423
- EBook
- ISBN 9781119423447
- EBook
- ISBN 9781119423461
- EBook
- ISBN 9781119423430
Read an Excerpt
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.
Frequently Asked Questions
What is Advanced Numerical and Semi-Analytical Methods for Differential Equations about?
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.
What core themes, tropes, or subjects are explored in Advanced Numerical and Semi-Analytical Methods for Differential Equations?
Mathematics and Science > Mathematics > Calculus and mathematical analysis > Differential calculus and equations
Where can I read a sample of Advanced Numerical and Semi-Analytical Methods for Differential Equations?
You can read an official preview of the few pages here https://www.book2look.com/book/9781119423423
Who is/are the Author/s of the book Advanced Numerical and Semi-Analytical Methods for Differential Equations?
Nisha Mahato, Perumandla Karunakar, Snehashish Chakraverty, Tharasi Dilleswar Rao
Who is the Publisher of the book Advanced Numerical and Semi-Analytical Methods for Differential Equations?
Wiley
What are the ISBN numbers for the physical and digital editions?
Advanced Numerical and Semi-Analytical Methods for Differential Equations is available as hardcover(ISBN 9781119423423) and ebook(ISBN 9781119423447) and ebook(ISBN 9781119423461) and ebook(ISBN 9781119423430)
Where can I buy Advanced Numerical and Semi-Analytical Methods for Differential Equations online or support local independent bookshops?
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