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Advanced Numerical and Semi-Analytical Methods for Differential Equations by Chakraverty, Snehashish; Mahato, Nisha Rani; Karunakar, Perumandla; Rao, Tharasi Dilleswar is a scholarly article available to read on EtoBox.

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

Author

Chakraverty, Snehashish; Mahato, Nisha Rani; Karunakar, Perumandla; Rao, Tharasi Dilleswar

Publisher

John Wiley and Sons, Inc

Published

2019

Language

EN

ISBN

9781119423430