Polynomial paradigms :trends and applications in science and engineering /

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"Version: 20221201"--Title page verso.Includes bibliographical references.1. Formulas for the sums of the series of reciprocals of the cubic polynomials with integer roots, at least one zero / Radovan Pot?euc?eek -- 2. Polynomials for meshless methods in finding solutions in gradient elasticity problems / N. Fantuzzi, S. Saitta, F. Fabbrocino, R. Vescovini and R. Luciano -- 3. Numerical solution of fractal-fractional variable orders differential equations using two-step and three-step Newton and Lagrange interpolation polynomials / Rajarama Mohan Jena, Shengda Zeng and Van Thien Nguyen -- 4. Polynomial-based numerical methods for singularly perturbed differential equation on layer-adapted meshes / Jugal Mohapatra and Subal Ranjan Sahu -- 5. Modelling the impact of preventive and treatment-based control interventions on the transmission dynamics of Leptospirosis disease / G.N. Nkem, E.A. Bakare, S. Hoskova-Mayerova and O.S. Obabiyi -- 6. Polynomials based semi-analytical methods for the solutions of fractional order Volterra-Fredholm integro differential equations / Jugal Mohapatra and Abhilipsa Panda -- 7. Comparing different polynomials-based shape functions in the Rayleigh-Ritz method for investigating dynamical characteristics of nanobeam / Subrat Kumar Jena, Dineshkumar Harursampath, Vinyas Mahesh and Sathiskumar A. Ponnusami -- 8. Application of polynomial functions in analyzing anti-plane wave profiles in a functionally graded piezoelectric-viscoelastic-poroelastic structure with buffer layer / A.K. Singh and Sonam Singh -- 9. Vibration analysis of single-link robotic manipulator by polynomial based Galerkin method in uncertain environment / Priya Rao, S. Chakraverty and Debanik Roy -- 10. Solving type-2 fuzzy differential equations using collocation method with type-2 fuzzy polynomials / Dhabaleswar Mohapatra and S. Chakraverty -- 11. Shannon entropy determination for the elastic Euler-Bernoulli beam via random polynomials and stochastic finite difference method / Marcin Kami?nski -- 12. Polynomials in hybrid artificial intelligence / Saba Sajadi and Majid Amirfakhrian -- 13. Comparative study of Chebyshev and Legendre polynomial-based neural models for approximating multidimensional poverty for an Indian state / Sandeep Kumar, Arup Kumar Sahoo and S. Chakraverty -- 14. Polynomial based model for solving unconstrained optimization problem with smoothing parameters / Bhubaneswari Mishra, S. Chakraverty and Rohtas Kumar -- 15. Interval root finding and interval polynomials : methods and applications in science and engineering / Hend Dawood and Yasser Dawood.Polynomials play an important role in developing numerical and analytical methods to solve various practical problems of physics, mathematics, engineering and industry. This research and reference text reports and reviews recent developments and applications of different polynomials in numerical and analytical/semi-analytical methods for solving a variety of science and engineering problems.Students, researchers and industry: sciences and engineering disciplines including physics, applied mathematics, industrial mathematics and civil, mechanical, aerospace, computer science.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.Prof. S Chakraverty has 30 years of experience as a researcher and teacher. Presently, he is a Senior Professor at the Department of Mathematics (Applied Mathematics Group), National Institute of Technology Rourkela, Odisha.Title from PDF title page (viewed on January 9, 2023).

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: .,

Collation

1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9780750350679

Classification

512.9422

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Subject(s)

SCIENCE / Physics / Mathematical & Computational.
Mathematical physics.
Polynomials.

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Statement of Responsibility

edited by S. Chakraverty.

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