Fredholm integral equation - Open Access .click

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 ...
M. A. Abdou
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The -method and Fredholm integral equations

Computer Methods in Applied Mechanics and Engineering, 1977
Abstract Instead of using approximate methods on the equation f(x) = g(x) + λ ∫ 0 1 K(x,t)f(t) dt , the τ-method is employed to obtain the exact solution of the equation h(x) = g(x) + λ ∫ 0 1 K(x,t)h(t) dt + R(x,λ) ,The analytical from of R(x, λ) determines the type of approximation which results.
Fair, Wyman, Wimp, Jet
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Quintic spline functions and Fredholm integral equation

2021
Summary: A new six order method developed for the approximation Fredholm integral equation of the second kind. This method is based on the quintic spline functions (QSF). In our approach, we first formulate the Quintic polynomial spline then the solution of integral equation approximated by this spline.
Maleknejad, Khosrow, Rashidinia, Jalil, Jalilian, Hamed +2 more
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mathematics
fredholm integral equations
numerical methods for integral equations

fredholm-volterra integral equation
contact in solid mechanics
integral equation

contact problem
fredholm property
other nonlinear integral equations