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Advanced Numerical and Semi-Analytical Methods for Differential Equations (Hardcover)
Loot Price: R2,578
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Advanced Numerical and Semi-Analytical Methods for Differential Equations (Hardcover)
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Total price: R2,598
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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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