Search Results - POLYNOMIALS

1

Academic Journal

Mollification of Fourier spectral methods with polynomial kernels.

Authors: Puthukkudi, Megha¹ (AUTHOR), Godavarma Raja, Chandhini¹ (AUTHOR) chandhini@nitk.edu.in

Superior Title: Mathematical Methods in the Applied Sciences. Apr2024, Vol. 47 Issue 6, p4911-4931. 21p.

Subject Terms: *SEPARATION of variables, *POLYNOMIALS, *CHEBYSHEV polynomials, *CONSERVATION laws (Physics), *LINEAR equations

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2

Academic Journal

A q‐Erkuş–Srivastava polynomials operator.

Authors: Agrawal, Purshottam Narain¹ (AUTHOR), Baxhaku, Behar² (AUTHOR), Singh, Jitendra Kumar¹ (AUTHOR) jsingh@ma.iitr.ac.in

Superior Title: Mathematical Methods in the Applied Sciences. 5/30/2024, Vol. 47 Issue 8, p7079-7102. 24p.

Subject Terms: *POLYNOMIAL operators, *SUMMABILITY theory, *POSITIVE operators, *INTEGRAL transforms, *POWER series, *LINEAR operators

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3

Academic Journal

Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping and critical nonlinearity.

Authors: Chunxiang Zhao¹, Linmeng Feng¹, Fengjuan Meng² fjmeng@jsut.edu.cn, Chang Zhang²

Superior Title: Mathematical Methods in the Applied Sciences. 5/15/2024, Vol. 47 Issue 7, p6622-6632. 11p.

Subject Terms: *POLYNOMIALS, *EQUATIONS

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4

Academic Journal

A novel approach to solving system of integral partial differential equations based on hybrid modified block-pulse functions.

Authors: Rostami, Yaser¹ yaser.rostami@iau.ac.ir, Maleknejad, Khosrow²

Superior Title: Mathematical Methods in the Applied Sciences. 5/15/2024, Vol. 47 Issue 7, p5798-5818. 21p.

Subject Terms: *PARTIAL differential equations, *BERNOULLI polynomials, *COLLOCATION methods, *INTEGRALS, *HYBRID systems

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5

Academic Journal

Norm of the general polynomial differentiation composition operator from the space of Cauchy transforms to the mth weighted‐type space on the unit disk.

Authors: Stević, Stevo^1,2 (AUTHOR) sscite1@gmail.com

Superior Title: Mathematical Methods in the Applied Sciences. Apr2024, Vol. 47 Issue 6, p3893-3902. 10p.

Subject Terms: *COMPOSITION operators, *POLYNOMIALS, *HOLOMORPHIC functions

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6

Academic Journal

Dynamic analysis of viscoelastic foundation plate with fractional Kelvin–Voigt model using shifted Bernstein polynomials.

Authors: Qu, Jingguo^1,2,3 (AUTHOR) qujingguo@ncst.edu.cn, Zhang, Qi^1,2,3 (AUTHOR) zhangqi@stu.ncst.edu.cn, Cui, Yuhuan^1,2,3 (AUTHOR) cuiyh@ncst.edu.cn, Yang, Aimin^1,2,3,4,5 (AUTHOR) aimin@ncst.edu.cn, Chen, Yiming^6,7 (AUTHOR) chenym@ysu.edu.cn

Superior Title: Mathematical Methods in the Applied Sciences. Feb2024, Vol. 47 Issue 3, p1663-1679. 17p.

Subject Terms: *BERNSTEIN polynomials, *CHEBYSHEV polynomials, *FRACTIONAL differential equations

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7

Academic Journal

Polynomial differentiation composition operators from Besov‐type spaces into Bloch‐type spaces.

Authors: Zhu, Xiangling¹ (AUTHOR), Hu, Qinghua² (AUTHOR) hqhmath@sina.com, Qu, Dan³ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Jan2024, Vol. 47 Issue 1, p147-168. 22p.

Subject Terms: *POLYNOMIAL operators, *COMPOSITION operators, *POLYNOMIALS

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8

Academic Journal

A new approach for non‐Gaussian vibration analysis of hyperbolic tangent package with a critical component.

Authors: Yang, Song‐Ping^1,2,3 (AUTHOR), Su, Ri‐Qing⁴ (AUTHOR), Wang, Zhi‐Wei^1,2,3 (AUTHOR) wangzw@jnu.edu.cn, Chen, Yu^1,2,3 (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. 3/30/2024, Vol. 47 Issue 5, p3596-3613. 18p.

Subject Terms: *GAUSSIAN mixture models, *HERMITE polynomials, *RANDOM vibration, *RUNGE-Kutta formulas, *DEGREES of freedom

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9

Academic Journal

Calculation of retention indices of essential oils with the aid of the Van den Dool and Kratz equation and Bézier curves.

Authors: Battaloglu, Rifat¹ (AUTHOR) rbattaloglu@ohu.edu.tr

Superior Title: Mathematical Methods in the Applied Sciences. 3/30/2024, Vol. 47 Issue 5, p3219-3229. 11p.

Subject Terms: *ESSENTIAL oils, *BERNSTEIN polynomials, *CHEMICAL equations, *CHEMISTRY education, *GAS chromatography, *EQUATIONS, *BIOLOGY education

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10

Academic Journal

Sparse precision matrix estimation under lower polynomial moment assumption.

Authors: Miao, Li¹ (AUTHOR), Wang, Jinru¹ (AUTHOR) wangjinru@bjut.edu.cn

Superior Title: Mathematical Methods in the Applied Sciences. Mar2024, Vol. 47 Issue 4, p2925-2940. 16p.

Subject Terms: *SPARSE matrices, *POLYNOMIALS, *MATRIX inversion, *RANDOM matrices, *COVARIANCE matrices

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11

Academic Journal

Exponential approximation space reconstruction weighted essentially nonoscillatory scheme for dispersive partial differential equations.

Authors: Salian, Lavanya V.¹ (AUTHOR), Samala, Rathan¹ (AUTHOR) rathans.math@iipe.ac.in

Superior Title: Mathematical Methods in the Applied Sciences. Mar2024, Vol. 47 Issue 4, p1823-1851. 29p.

Subject Terms: *PARTIAL differential equations, *POLYNOMIAL approximation, *FINITE differences

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12

Academic Journal

A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation.

Authors: Hosseininia, M.¹ (AUTHOR), Heydari, M. H.¹ (AUTHOR) heydari@sutech.ac.ir, Razzaghi, M.² (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Dec2023, Vol. 46 Issue 18, p18768-18788. 21p.

Subject Terms: *POLYNOMIAL time algorithms, *CHEBYSHEV polynomials, *ALGEBRAIC equations, *CAPUTO fractional derivatives, *MATRICES (Mathematics), *EQUATIONS

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13

Academic Journal

Stabilization for weakly coupled string–riser system with partial frictional damping.

Authors: Zhang, Yajing¹ (AUTHOR) zhangyj@sxu.edu.cn, Liu, Lujuan¹ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Dec2023, Vol. 46 Issue 18, p19429-19451. 23p.

Subject Terms: *FRICTION, *POLYNOMIALS, *EQUATIONS

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14

Academic Journal

Reduced‐quaternion inframonogenic functions on the ball.

Authors: Álvarez‐Peña, C.¹ (AUTHOR), Morais, J.² (AUTHOR) joao.morais@itam.mx, Michael Porter, R.³ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Dec2023, Vol. 46 Issue 18, p18935-18951. 17p.

Subject Terms: *HOMOGENEOUS polynomials, *BIHARMONIC functions, *HILBERT space, *QUATERNIONS, *QUATERNION functions, *MONOGENIC functions

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15

Academic Journal

Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants.

Authors: Min, Chao¹ (AUTHOR) chaomin@hqu.edu.cn, Chen, Yang² (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. 9/30/2023, Vol. 46 Issue 14, p15270-15284. 15p.

Subject Terms: *LAGUERRE polynomials, *PAINLEVE equations, *INTEGRAL representations, *DISCRETE systems, *DETERMINANTS (Mathematics), *ORTHOGONAL polynomials

Company/Entity: DYSON Ltd.

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16

Academic Journal

Novel spectral schemes to fractional problems with nonsmooth solutions.

Authors: Atta, Ahmed G.¹ (AUTHOR), Abd‐Elhameed, Waleed M.² (AUTHOR), Moatimid, Galal M.¹ (AUTHOR), Youssri, Youssri H.^2,3 (AUTHOR) youssri@cu.edu.eg

Superior Title: Mathematical Methods in the Applied Sciences. Sep2023, Vol. 46 Issue 13, p14745-14764. 20p.

Subject Terms: *CHEBYSHEV polynomials, *ORTHOGONAL polynomials, *ALGEBRAIC equations, *GALERKIN methods

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17

Academic Journal

Polynomial stabilizations for wave equations with positive definite kernels and boundary frictional damping.

Authors: Li, Chan¹ (AUTHOR) chanli@hdu.edu.cn, Wan, Xing‐Yu¹ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. 9/30/2023, Vol. 46 Issue 14, p14874-14894. 21p.

Subject Terms: *POLYNOMIALS, *MEMORY

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18

Academic Journal

A novel numerical approach based on shifted second‐kind Chebyshev polynomials for solving stochastic Itô–Volterra integral equation of Abel type with weakly singular kernel.

Authors: Saha Ray, Santanu¹ (AUTHOR) santanusaharay@yahoo.com, Gupta, Reema¹ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Sep2023, Vol. 46 Issue 13, p14026-14044. 19p.

Subject Terms: *VOLTERRA equations, *CHEBYSHEV polynomials, *STOCHASTIC integrals, *FREDHOLM equations, *SINGULAR integrals, *ALGEBRAIC equations, *MATRICES (Mathematics), *COLLOCATION methods

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19

Academic Journal

Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method.

Authors: Abd Elaziz El‐Sayed, Adel^1,2 (AUTHOR), Boulaaras, Salah^3,4 (AUTHOR) saleh_boulaares@yahoo.fr, Sweilam, N. H.⁵ (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. 5/15/2023, Vol. 46 Issue 7, p8004-8017. 14p.

Subject Terms: *CHEBYSHEV polynomials, *MATRICES (Mathematics), *POLYNOMIALS, *CAPUTO fractional derivatives, *EQUATIONS, *ESTIMATION theory

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20

Academic Journal

The general Bernstein function: Application to χ-fractional differential equations.

Authors: Sadek, Lakhlifa, Bataineh, Ahmad Sami

Superior Title: Mathematical Methods in the Applied Sciences; 5/15/2024, Vol. 47 Issue 7, p6117-6142, 26p

Subject Terms: DIFFERENTIAL equations, NONLINEAR differential equations, APPLIED mathematics, BERNSTEIN polynomials, COLLOCATION methods, CALCULUS of variations, INTEGRAL equations

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