Results 21 to 30 of about 4,542,205 (287)

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, Abdelhalim Ebaid, Ebrahem A. Algehyne, Hind K. Al-Jeaid   +3 more
doaj   +1 more source

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, David Petroff, Erdélyi A, Erdélyi A, Erdélyi A, Kamke E, Khare A Sukhatme U, Maier R S, Prudnikov A P, Ronveaux A, Slavyanov S Yu, Stephani H, Valent G   +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, Essam R. El-Zahar, Abdelhalim Ebaid   +2 more
doaj   +1 more source

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
core   +2 more sources

Random spherical hyperbolic diffusion [PDF]

, 2019
The paper starts by giving a motivation for this research and justifying the considered stochastic diffusion models for cosmic microwave background radiation studies.
Broadbridge, Phil, Kolesnik, Alexander D., Leonenko, Nikolai, Olenko, Andriy   +3 more
core   +3 more sources

Series Solution and Minimal Surfaces in AdS

, 2009
According to the Alday-Maldacena program the strong coupling limit of Super Yang-Mills scattering amplitudes is given by minimal area surfaces in AdS spacetime with a boundary consisting of a momentum space polygon.
A Brandhuber, A Brandhuber, A Jevicki, A Jevicki, A Jevicki, A Mikhailov, A Mironov, AB Zamolodchikov, Antal Jevicki, BM Barbashov, BM Barbashov, BM McCoy, C Anastasiou, C Anastasiou, E Corrigan, F Cachazo, H Dorn, H Dorn, H Itoyama, H Itoyama, HJ Vega de, I Bakas, J Plefka, JL Miramontes, JM Drummond, JM Drummond, JM Drummond, K Pohlmeyer, K Sakai, Kewang Jin, LF Alday, LF Alday, LF Alday, LF Alday, M Grigoriev, M Grigoriev, M Kruczenski, M Kruczenski, M Spradlin, N Berkovits, N Dorey, NS Manton, P Rossi, S Dobashi, S Dobashi, SS Gubser, Z Bern, Z Bern, Z Bern   +48 more
core   +1 more source

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
openaire   +4 more sources

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  

Path Integral Solution by Sum Over Perturbation Series [PDF]

, 1999
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method.
De-Hone Lin, Gell-mann M.
core   +3 more sources

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 ...
openaire   +2 more sources