eBook - ePub
New Numerical Scheme with Newton Polynomial
Theory, Methods, and Applications
- 460 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
New Numerical Scheme with Newton Polynomial
Theory, Methods, and Applications
About this book
New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications provides a detailed discussion on the underpinnings of the theory, methods and real-world applications of this numerical scheme. The book's authors explore how this efficient and accurate numerical scheme is useful for solving partial and ordinary differential equations, as well as systems of ordinary and partial differential equations with different types of integral operators. Content coverage includes the foundational layers of polynomial interpretation, Lagrange interpolation, and Newton interpolation, followed by new schemes for fractional calculus. Final sections include six chapters on the application of numerical scheme to a range of real-world applications.
Over the last several decades, many techniques have been suggested to model real-world problems across science, technology and engineering. New analytical methods have been suggested in order to provide exact solutions to real-world problems. Many real-world problems, however, cannot be solved using analytical methods. To handle these problems, researchers need to rely on numerical methods, hence the release of this important resource on the topic at hand.
- Offers an overview of the field of numerical analysis and modeling real-world problems
- Provides a deeper understanding and comparison of Adams-Bashforth and Newton polynomial numerical methods
- Presents applications of local fractional calculus to a range of real-world problems
- Explores new scheme for fractal functions and investigates numerical scheme for partial differential equations with integer and non-integer order
- Includes codes and examples in MATLAB in all relevant chapters
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access New Numerical Scheme with Newton Polynomial by Abdon Atangana,Seda İğret Araz in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Front Matter
- Table of Contents
- Copyright
- Contents
- Preface
- Acknowledgments
- List of symbols
- List of Illustrations
- 1 : Polynomial interpolation
- 2 : Two-steps Lagrange polynomial interpolation: numerical scheme
- 3 : Newton interpolation: introduction of the scheme for classical calculus
- 4 : Numerical method for fractal differential equations
- 5 : Numerical method for a fractional differential equation with Caputo–Fabrizio derivative
- 6 : Numerical method for a fractional differential equation with power-law kernel
- 7 : Numerical method for a fractional differential equation with the generalized Mittag-Leffler kernel
- 8 : Numerical method for a fractal–fractional ordinary differential equation with exponential decay kernel
- 9 : Numerical method for a fractal–fractional ordinary differential equation with power law kernel
- 10 : Numerical method for a fractal–fractional ordinary differential equation with Mittag-Leffler kernel
- 11 : Numerical method for a fractal–fractional ordinary differential equation with variable order with exponential decay kernel
- 12 : Numerical method for a fractal–fractional ordinary differential equation with variable order with power-law kernel
- 13 : Numerical method for a fractal–fractional ordinary differential equation with variable order with the generalized Mittag-Leffler kernel
- 14 : Numerical scheme for partial differential equations with integer and non-integer order
- 15 : Application to linear ordinary differential equations
- 16 : Application to non-linear ordinary differential equations
- 17 : Application to linear partial differential equations
- 18 : Application to non-linear partial differential equations
- 19 : Application to a system of ordinary differential equations
- 20 : Application to system of non-linear partial differential equations
- A : Appendix
- References
- Index
- A