Results 191 to 200 of about 206,050 (258)

Volterra-Fredholm Integral Equations

2011
The Volterra-Fredholm integral equations [1–2] arise from parabolic boundary value problems, from the mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and biological models. The Volterra-Fredholm integral equations appear in the literature in two forms, namely $$u\left( x \right) = f\left( x \right)
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Fredholm systems of integral equations

Russian Mathematical Surveys, 1998
Let \(\Gamma\) and \(\gamma\) be disjoint sets of segments on the real axis, \(D=\Gamma\cup\gamma\). The author studies the integral equations \[ {1\over\pi}\int_\Gamma{\mu(\sigma)\over\sigma-s} d\sigma+\int_D\mu(\sigma) v(s,\sigma) d\sigma=f(s),\;s\in\Gamma, \] \[ \mu(s)+\int_D\mu(\sigma)w(s,\sigma) d\sigma=f(s),\;s\in\gamma, \] \[ \int_D\mu(\sigma ...
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Optimal Control of Nonlinear Fredholm Integral Equations

Journal of Optimization Theory and Applications, 1998
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Fredholm–Volterra integral equation with singular kernel

Applied Mathematics and Computation, 2003
The author considers the Fredholm-Volterra integral equation of the second kind \[ \delta\phi(x,t)+\int\limits_{-1}^1 \left| \ln| y-x| -d\right| \phi(y,t)\,dy+\int\limits_0^t F(\tau)\phi(x,\tau) \,d\tau=f(x,t),\tag{1} \] where \(| x| \leq1,\) \( t\in[0,T],\) \(\lambda\in(0,\infty),\) \(\delta\in(0,\infty]\), with a specific right-hand side \(f(x,t ...
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Parallel solution of Fredholm integral equations

Parallel Computing, 1989
Nyström and Galerkin procedures are examined numerically. In both cases, parallel variants to obtain the matrices and to solve the linear matrix systems, are performed. There results superiority of the parallel variants for a large number of discretization points or functions in the Galerkin ansatz, respectively.
Babolian, E., Delves, L. M.
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Generalized Fredholm Integral Equations

2016
In this chapter we adapt the Adomian decomposition method, the modified decomposition method, the noise term phenomenon, the direct computation method and the successive approximation method for generalized Fredholm integral equations.
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On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Systems of Fredholm Integral Equations

2011
Systems of Volterra and Fredholm integral equations have attracted much concern in applied sciences. The systems of Fredholm integral equations appear in two kinds. The system of Fredholm integral equations of the first kind [1–5] reads $$\begin{gathered} {f_1}\left( x \right) = \int_a^b {\left( {{K_1}\left( {x,t} \right)u\left( t \right ...
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FREDHOLM INTEGRAL EQUATION SOLUTION

Современные проблемы математики в прикладных науках. материалы Всероссийской открытой конференции, 2022
Vladimir Igorevich Uskov, Anna Viktorovna Ryabykh   +1 more
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Numerical study of Fredholm integral equations

International Journal of Mathematical Education in Science and Technology, 1994
Two numerical methods for solving Fredholm integral equations of the first kind are examined, namely, a direct quadrature method and a boundary‐integral method. These methods are tested out on integral equations with a range of kernels. A regularization technique which replaces ill‐posed equations of the first kind by well‐posed equations of the second
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