Results 41 to 50 of about 696 (148)

The two-term Abel's integral equation

Journal of Mathematical Extension, 2012
Summary: We investigate the two-term Abel's integral equations. We do this in two different ways and show that such equation is reducible to an integro-differential equation of Volterra type.
F. M. Maalek Ghaini, M. Ghadiri Anari, M. R. Hooshmandasl   +2 more
openaire   +2 more sources

On Solution of Nonlinear Abel–Volterra Integral Equation

Journal of Mathematical Analysis and Applications, 1999
The authors consider the integral equation \[ \varphi^m (x)= \frac{a(x)}{\Gamma (\alpha)}\int_0^x \frac{\varphi (t)}{(x-t)^{1-\alpha}} dt +f (x),\quad ...
Kilbas, Anatoly A., Saigo, Megumi
openaire   +1 more source

Solution of Abel’s Integral Equation Using Tikhonov Regularization

Energy Conversion and Resources, 2005
This paper presents a method based on Tikhonov regularization for solving one-dimensional inverse tomography problems that arise in combustion applications. In this technique, Tikhonov regularization transforms the ill-conditioned set of equations generated by onion-peeling deconvolution into a well-conditioned set that is more stable to measurement ...
Daun, K. J., Thomson, K. A., Liu, F., Smallwood, G. J.   +3 more
openaire   +3 more sources

Generalized Weierstrass Integrability of the Abel Differential Equations

Mediterranean Journal of Mathematics, 2013
We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
Llibre, Jaume, Valls, Clàudia
openaire   +4 more sources

Finite Difference Method for Solving Partial Integro-Differential Equations

پژوهش‌های ریاضی, 2020
Introduction In this paper, we have introduced a new method for solving a class of the partial integro-differential equation with the singular kernel by using the finite difference method.
Majid Erfanian, Hamed Zeidabadi
doaj  

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

پژوهش‌های ریاضی, 2018
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations.
Farshid Mirzaee, Nasrin Samadyar;
doaj  

Creep characteristics and damage model of coal-rock combinations with different height ratios. [PDF]

Sci Rep, 2023
Wang J, Yang S, Qi Y, Cong Y.
europepmc   +1 more source

The solution of the full matrix analogue of the generalized abel equation with constant coefficients

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann-Liouville operators of matrix order.
Rina R Ismagilova
doaj  

Deformation constitutive model of subgrade soil under intermittent cyclic loading. [PDF]

Sci Rep, 2023
Zhang B, Chen K, Hu X, Zhang X, Luo G, Chen R.   +5 more
europepmc   +1 more source

Abel's integral equation

Abel's integral equation
ファイルの内容を引用される場合には、大阪大学数学教室ウェブページ掲載ファイルからの引用であることを明記してくださるようお願いいたします。
openaire