Tharasi Dilleswar Rao's Books

Advanced Numerical and Semi-Analytical Methods for Differential Equations

By: Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao

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Advanced Numerical and Semi-Analytical Methods for Differential Equations

By: Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao

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.

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254

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John Wiley & Sons

Published Date

ISBN 10

1119423449

ISBN 13

9781119423447

Advanced Numerical and Semi-Analytical Methods for Differential Equations

By: Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao

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Advanced Numerical and Semi-Analytical Methods for Differential Equations

By: Snehashish Chakraverty,Nisha Mahato,Perumandla Karunakar,Tharasi Dilleswar Rao

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254

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119423449

ISBN 13

9781119423447

Computational Radon Transport Mechanisms

By: Snehashish Chakraverty,Tharasi Dilleswar Rao

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Computational Radon Transport Mechanisms

By: Snehashish Chakraverty,Tharasi Dilleswar Rao

Computational Radon Transport Mechanisms considers various mathematical modeling techniques for understanding radon transport mechanisms across various mediums, including soil, concrete, and water. Organized clearly by types of problems, including steady and unsteady states, inverse problems, and uncertainty, the book provides clear solutions to understanding and analyzing radon transport mechanisms. Generally, radon transport mechanisms are modeled by corresponding equations of flux represented by ordinary and/or partial differential equations and may also be governed by linear/nonlinear differential equations. Recent advances have proposed different analytical, semi-analytical, and numerical techniques handling such differential equations that govern radon diffusion-advection. As such, this book considers various mathematical models of radon transport. Covering various computational methods for modeling transport mechanisms in general and diffusion as well as advection equations in particular, Computational Radon Transport Mechanisms provides researchers working in environmental science, earth science, physics, chemistry, applied mathematics, and health with various analytical/numerical computational methods for solving different models governing radon transport. Describes radon transport mechanisms in various mediums Provides a systematic understanding of mathematical formulations and numerical/analytical modeling of radon transport problems Offers new inverse approaches to estimate the parameters of radon transport

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Page Count

250

Publisher

Elsevier

Published Date

ISBN 10

0128205652

ISBN 13

9780128205655

Book's by Tharasi Dilleswar Rao

Advanced Numerical and Semi-Analytical Methods for Differential Equations

Advanced Numerical and Semi-Analytical Methods for Differential Equations

Advanced Numerical and Semi-Analytical Methods for Differential Equations

Advanced Numerical and Semi-Analytical Methods for Differential Equations

Computational Radon Transport Mechanisms

Computational Radon Transport Mechanisms

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