On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
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Integral zeroes of Krawtchouk polynomials [PDF]
, 2012 This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
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Generalization of adomian polynomials to functions of several variables [PDF]
, 1992 The solution of nonlinear differential and partial differential equations by the decomposition method due to Adomian [1–3] requires his An polynomials to represent nonlinearities.
Adomian, G., Rach, R.
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Solution of the Telegraph Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomials [PDF]
, 2021 In this paper, we will apply the Adomian decomposition method (ADM) to three different examples of the Telegraph Equation with a nonlinear term by the two polynomials called Adomian polynomials and the new accelerated Adomian polynomials proposed by El ...
M. Abdelgaber, K. +3 more
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Mathematics, 2019 In this work, we applied the improved differential transform method to find the solutions of the systems of equations of Lane-Emden type arising in various physical models.
Lie-jun Xie, Cai-lian Zhou, Song Xu
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems
Discrete Dynamics in Nature and Society, 2022 Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. These DAEs are known to pose a challenge to numerical methods. The purpose of this paper
Brahim Benhammouda
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Correlation between Adomian and partial exponential Bell polynomials [PDF]
, 2017 We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the n-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial exponential
Kuldeep Kumar Kataria +5 more
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Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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Non-Perturbative Solution for Hydromagnetic Flow Over a Linearly Stretching Sheet
International Journal of Applied Mechanics and Engineering, 2013 In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field.
O.D. Makinde +2 more
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