Results 41 to 50 of about 510 (151)

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

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  

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

Numerical Solution of Linear Second-Kind Convolution Volterra Integral Equations Using the First-Order Recursive Filters Method

Mathematics
A new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive kernels
Rodolphe Heyd
doaj   +1 more source

Differential operators on equivariant vector bundles over symmetric spaces

Electronic Journal of Differential Equations, 2000
Generalizing the algebra of motion-invariant differential operators on a symmetric space we study invariant operators on equivariant vector bundles.
Anton Deitmar
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

Properties of inversion operator of the Abel matrix equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010
Generalization of integral-differential Riemann-Liouville operator on the matrix order-is reviewed and its properties are studied. Theorem of the composition of operators of the matrix of integration and differentiation can be proved.
Rina R Ismagilova
doaj