{"product_id":"9781119423423","title":"Advanced Numerical and Semi-Analytical Methods for Differential Equations","description":"\u003ch1\u003eAdvanced Numerical and Semi-Analytical Methods for Differential Equations\u003c\/h1\u003e\u003ch3\u003eSnehashish Chakraverty | Nisha Mahato | Perumandla Karunakar | Tharasi Dilleswar Rao\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003eExamines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003cp\u003eFeaturing both traditional and recent methods, \u003ci\u003eAdvanced Numerical and Semi Analytical Methods for Differential Equations\u003c\/i\u003e 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:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eDiscusses various methods for solving linear and nonlinear ODEs and PDEs\u003c\/li\u003e \u003cli\u003eCovers basic numerical techniques for solving differential equations along with various discretization methods\u003c\/li\u003e \u003cli\u003eInvestigates nonlinear differential equations using semi-analytical methods\u003c\/li\u003e \u003cli\u003eExamines differential equations in an uncertain environment\u003c\/li\u003e \u003cli\u003eIncludes a new scenario in which uncertainty (in term of intervals and fuzzy numbers) has been included in differential equations\u003c\/li\u003e \u003cli\u003eContains solved example problems, as well as some unsolved problems for self-validation of the topics covered \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eAdvanced Numerical and Semi Analytical Methods for Differential Equations\u003c\/i\u003e 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.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cp\u003e\u003cb\u003eSNEHASHISH CHAKRAVERTY, PHD,\u003c\/b\u003e is Professor in the Department of Mathematics at National Institute of Technology, Rourkela, Odisha, India. He is also the author of \u003ci\u003eFuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications\u003c\/i\u003e and 12 other books\u003ci\u003e.\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNISHA RANI MAHATO\u003c\/b\u003e is a Senior Research Fellow in the Department of Mathematics at the National Institute of Technology, Rourkela, Odisha, India where she is pursuing her PhD.\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePERUMANDLA KARUNAKAR\u003c\/b\u003e is a Senior Research Fellow in the Department of Mathematics at the National Institute of Technology, Rourkela, Odisha, India where he is pursuing his PhD.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTHARASI DILLESWAR RAO,\u003c\/b\u003e is a Senior Research Fellow in the Department of Mathematics at the National Institute of Technology, Rourkela, Odisha, India where he is pursuing his PhD.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e16 April 2019\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781119423423\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e256\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e19.2\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44384747454604,"sku":"9781119423423","price":105.26,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781119423423_5bf26a53-647c-4bc9-907a-aaa5d753629a.jpg?v=1780184716","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781119423423","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}