Results 31 to 40 of about 2,542,586 (278)

Solution of a singular integral equation by a split-interval method

open access: yes, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J.   +3 more
core   +2 more sources

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

Problems with Missing Tricomi Condition and Analog of Frankl Condition for One Class of Mixed Type Equations

open access: yesMathematics
In this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay   +3 more
doaj   +1 more source

To the solution of one pseudo-Volterra integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev   +3 more
doaj   +1 more source

Cauchy singular integral equation method for transient antiplane dynamic problems

open access: yes, 1996
In this paper, by use of the boundary integral equation method and the techniques of Green basic solution and singularity analysis, the dynamic problem of antiplane is investigated. The problem is reduced to solving a Cauchy singular integral equation in
陈卫江   +2 more
core   +2 more sources

An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel

open access: yesFractal and Fractional
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj   +1 more source

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

open access: yesFractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim   +3 more
doaj   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

The solution of a singular integral equation with some applications in potential theory

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
An analytical solution is derived for a singular integral equation which governs some twodimensional potential boundary value problems in a region exterior to n-infinite co-axial circular strips. An application in electrostatics is discussed.
N. T. Shawagfeh
doaj   +1 more source

ON A CLASS OF SINGULAR INTEGRAL EQUATIONS

open access: yesDemonstratio Mathematica, 1995
The properties and applications of an operator \(C\) in \(L^{p,\alpha,\beta} (\mathbb{R}_+)\) (a weighted Lebesgue space of functions \(p\)-summable on \(\mathbb{R}_+)\) to be determined by the integral equations of a certain class are discussed.
openaire   +2 more sources

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