LEADER 03861nam 2200445 450 001 9910824412803321 005 20220629191252.0 010 $a1-119-42343-0 010 $a1-119-42344-9 035 $a(CKB)4100000007816839 035 $a(Au-PeEL)EBL5741224 035 $a(OCoLC)1090728073 035 $a(CaSebORM)9781119423423 035 $a(MiAaPQ)EBC5741224 035 $a(EXLCZ)994100000007816839 100 $a20190412d2019 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced numerical and semi-analytical methods for differential equations /$fSnehashish Chakraverty [and three others] 205 $a1st edition 210 1$aHoboken, New Jersey :$cWiley,$d2019. 215 $a1 online resource (253 pages) 311 $a1-119-42342-2 320 $aIncludes bibliographical references and index. 330 $aExamines 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-analyti... 606 $aDifferential equations 615 0$aDifferential equations. 676 $a515.35 700 $aChakraverty$b Snehashish$0946360 702 $aChakraverty$b Snehashish 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824412803321 996 $aAdvanced numerical and semi-analytical methods for differential equations$93954309 997 $aUNINA