Results 31 to 40 of about 696 (148)

Product integration for the generalized Abel equation [PDF]

Mathematics of Computation, 1972
The solution of the generalized Abel integral equation \[ g ( t ) = ∫ 0 t { k ( t , s ) / ( t ...
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Collocation method for Generalized Abel’s integral equations

Journal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pandey, Rajesh K., Sharma, Shiva, Kumar, Kamlesh   +2 more
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Solutions to viscous Burgers equations with time dependent source term

Electronic Journal of Differential Equations, 2021
We study the existence and uniqueness of weak solutions for a Cauchy problem of a viscous Burgers equation with a time dependent reaction term involving Dirac measure.
Satyanarayana Engu, Manas R. Sahoo, Venkatramana P. Berke   +2 more
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Dust Universes in Higher Dimensions with Gauss–Bonnet Corrections

Universe
We study dust models in higher-dimensional general relativity and the Einstein–Gauss–Bonnet theory in a maximally symmetric spacetime. We show that the dynamics of the model is governed by an Abel differential equation of the second kind.
Sumeekha Singh, Byron P. Brassel, Sunil D. Maharaj   +2 more
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On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The nonlocal problem for mixed-type equation with perpendicular lines of degeneracy is investigated for the case when the Dirichlet condition is given on the elliptic boundary, and the generalized derivatives of the solution values on the characteristics
Oleg Aleksandrovich Repin, Svetlana Kanshubievna Kumykova   +1 more
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Nonstationary Waveform Relaxation Methods for Abel Integral Equations

Journal of Integral Equations and Applications, 2004
The nonstationary waveform relaxation methods for solution Abel integral equations as \[ x(t) + \int\limits^t_0 \frac{h(t,\tau,x(\tau))}{(t-\tau)^{\alpha}}d\tau = f(t), \] \(0 \leq t \leq T,\) \(0 < \alpha
CAPOBIANCO, Giovanni, CRISCI M. R., RUSSO E.   +2 more
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ELECTRON DENSITY PROFILE RECOVERY ACCURACY AND APPLICATION OF POLYNOMIAL APPROXIMATIONS IN THE FREQUENCY-AND-ANGULAR SOUNDING OF THE IONOSPHERE

Radio Physics and Radio Astronomy, 2019
Purpose: Analysis of the error in recovering the height profile of the electron density of the ionosphere by the frequency-andangular sounding technique in dependence on the accuracy of measuring vertical plane angles of arrival of the probe signals ...
V. G. Galushko
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The numerical solution of an Abel integral equation by the optimal quadrature formula

Results in Applied Mathematics
In this study, a novel and efficient approach utilizing optimal quadrature formulas is introduced to derive approximate solutions for generalizing Abel’s integral equations. The method, characterized by high accuracy and simplicity, involves constructing
Abdullo Hayotov, Samandar Babaev, Bobomurod Boytillayev   +2 more
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A class of integral equations which generalize Abel’s equation [PDF]

Bulletin of the American Mathematical Society, 1945
Not ...
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A new formulation of Hermite–Hadamard–Fejer inequalities connected with an extended fractional operator

Journal of Inequalities and Applications
In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities.
Muhammad Younis, Zhi Guo Liu, Muhammad Samraiz, Ahsan Mehmood   +3 more
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