Results 11 to 20 of about 230,153 (288)

Approximate solution of singular integral equations

Applied Mathematics Letters, 2004
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Chakrabarti, A, Berghe, Vanden G
openaire   +4 more sources

Numerical solution of integral equations with finite part integrals

International Journal of Mathematics and Mathematical Sciences, 1999
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
doaj   +1 more source

Supplementing the numerical solution of singular/hypersingular integral equations/inequalities with parametric inequality constraints with applications to crack problems

Computer Assisted Methods in Engineering and Science, 2017
Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
doaj   +1 more source

Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]

, 2019
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
Bao, Gang, Xu, Liwei, Yin, Tao
core   +3 more sources

Solutions of singular integral equations

International Journal of Mathematics and Mathematical Sciences, 1982
Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
doaj   +1 more source

A Regularization of Fredholm type singular integral equations

International Journal of Mathematics and Mathematical Sciences, 2001
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
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To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

Solutions for singular Volterra integral equations

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We consider the system of Volterra integral equations $$ \begin{array}{l} u_i(t)=\int_{0}^{t}g_i(t,s)[P_i(s,u_1(s),u_2(s),\cdots, u_n(s)) + Q_i(s,u_1(s),u_2(s),\cdots, u_n(s))]ds, t\in [0,T],1\leq i\leq n \end{array} $$ where $T>0$ is fixed and the ...
Patricia J. Y. Wong
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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Вестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov, Nurtay Kudaibergenovich Gulmanov   +1 more
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Interpolation method for solving Volterra integral equations with weakly singular kernel using an advanced barycentric Lagrange formula

Ain Shams Engineering Journal, 2022
We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla, B.M. Ahmed, M. Sayed, Ahmed Saeed   +3 more
doaj   +1 more source