Results 11 to 20 of about 290,072 (190)
Mathematics, 2020 In this article, a novel radial−based meshfree approach for solving nonhomogeneous partial differential equations is proposed. Stemming from the radial basis function collocation method, the novel meshfree approach is formulated by incorporating ...
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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Criterion for polynomial solutions to a class of linear differential equation of second order [PDF]
, 2006 We consider the differential equations y''=\lambda_0(x)y'+s_0(x)y, where \lambda_0(x), s_0(x) are C^{\infty}-functions. We prove (i) if the differential equation, has a polynomial solution of degree n >0, then \delta_n=\lambda_n s_{n-1}-\lambda_{n-1}s_n ...
Al-Salam W A +15 more
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Classical 2‐orthogonal polynomials and differential equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We construct the linear differential equations of third order satisfied by the classical 2‐orthogonal polynomials. We show that these differential equations have the following form: , where the coefficients are polynomials whose degrees are, respectively, less than or equal to 4, 3, 2, and 1. We also show that the coefficient R4,n(x) can be written as
Boukhemis Ammar, Zerouki Ebtissem
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On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions
Abstract and Applied Analysis, 2015 We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function.
Zhengxin Zhou
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Journal of Mathematics, 2022 In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is ...
Abiodun Ezekiel Owoyemi +2 more
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Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach [PDF]
, 2013 Using a quantum field theory renormalization group-like differential equation, we give a new proof of the recipe theorem for the Tutte polynomial for matroids.
Duchamp, Gérard H. E. +3 more
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Polynomial solutions of differential equations [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azad, H, Laradji, A, Mustafa, M T
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Journal of Applied Sciences and Environmental Management, 2006 In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
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Topological types of polynomial differential equations [PDF]
Transactions of the American Mathematical Society, 1972 Consider a first order system of real ordinary differential equations, with polynomial coefficients, having no critical points in the number space R n {R^n} . Two such differential systems are called topologically equivalent in case there exists a homeomorphism of R n
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Differential Equations for Classical and Non-Classical Polynomial Sets: A Survey
Axioms, 2019 By using the monomiality principle and general results on Sheffer polynomial sets, the differential equation satisfied by several old and new polynomial sets is shown.
Paolo Emilio Ricci
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