Results 21 to 30 of about 4,525,221 (172)
Advanced Study on the Delay Differential Equation y′(t) = ay(t) + by(ct)
Mathematics, 2022 Many real-world problems have been modeled via delay differential equations. The pantograph delay differential equation y′(t)=ay(t)+byct belongs to such a set of delay differential equations.
Aneefah H. S. Alenazy +3 more
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Slowly Rotating Homogeneous Stars and the Heun Equation [PDF]
, 2007 The scheme developed by Hartle for describing slowly rotating bodies in 1967 was applied to the simple model of constant density by Chandrasekhar and Miller in 1974. The pivotal equation one has to solve turns out to be one of Heun's equations.
Chandrasekhar S +12 more
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Solution of Ambartsumian Delay Differential Equation with Conformable Derivative
Mathematics, 2019 This paper addresses the modelling of Ambartsumian equation using the conformable derivative as an application of the theory of surface brightness in astronomy.
Sayed M. Khaled +2 more
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Eigenproblem for Jacobi matrices: hypergeometric series solution
, 2006 We study the perturbative power-series expansions of the eigenvalues and eigenvectors of a general tridiagonal (Jacobi) matrix of dimension d. The(small) expansion parameters are being the entries of the two diagonals of length d-1 sandwiching the ...
Evgeny, K. Sklyanin, Vadim B. Kuznetsov
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A solution to the 4-tachyon off-shell amplitude in cubic string field theory [PDF]
, 2006 We derive an analytic series solution of the elliptic equations providing the 4-tachyon off-shell amplitude in cubic string field theory (CSFT). From such a solution we compute the exact coefficient of the quartic effective action relevant for time ...
A. Fotopoulos +37 more
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Series Solution of Epidemic Model
, 2012 The present paper is concerned with the approximate analytic series solution of the epidemic model. In place of the traditional numerical, perturbation or asymtotic methods, Laplace-Adomian decomposition method (LADM) is employed. To demonstrate the effort of the LADM an epidemic model, which has been worked on recently, has been solved.
Doğan, N., Akın, Ömer
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Null controllability from the exterior of fractional parabolic-elliptic coupled systems
Electronic Journal of Differential Equations, 2020 We analyze the null controllability properties from the exterior of two parabolic-elliptic coupled systems governed by the fractional Laplacian $(-d_x^2)^s$, $s\in(0,1)$, in one space dimension.
Carole Louis-Rose
doaj
SERIES SOLUTION OF LAPLACE PROBLEMS [PDF]
The ANZIAM Journal, 2018 At the ANZIAM conference in Hobart in February 2018, there were several talks on the solution of Laplace problems in multiply connected domains by means of conformal mapping. It appears to be not widely known that such problems can also be solved by the elementary method of series expansions with coefficients determined by least-squares fitting on the ...
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Generalized Differential Transform Method for Solving RLC Electric Circuit of Non-Integer Order
Nonlinear Engineering, 2018 Systematic construction of fractional ordinary differential equations [FODEs] has gained much attention nowadays research because dimensional homogeneity plays a major role in mathematical modeling.
Magesh N., Saravanan A.
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Gevrey expansions of hypergeometric integrals II
, 2019 We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of its singular support, is the ...
Castro-Jiménez, Francisco-Jesús +2 more
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