first-kind Fredholm integral equations
Numerical Methods for Fredholm Integral Equations of the First Kind
... linear Fredholm integral equation of the first ...linear Fredholm integral equations of the first ...linear Fredholm integral equations of the ...
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations
... will first apply the method of regularization that received a considerable amount of interest, especially in solving first kind integral ...second kind integral ...gral ...
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Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... 19, 20, 21, 22, 23]. In [16] the HAM has been used for solving linear integral equations of the second kind. The paper is organized as follows. In Sec- tion 2, the HAM is briefly presented. In ...
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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... nonsingular integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...gular integral equations with cosecant kernel [25], Fredholm ...
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The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... The integrals in (3.23) must often be calculated numerically. However, there is not much that can be said for integrals of this generality. First, they involve the entire interval [a, b], as contrasted with some ...
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Mixed Integral Equation of Contact Problem in Position and Time
... mixed integral equation of the first kind of type Fredholm- Volterra in position and time, ...The Fredholm integral term is considered in a variable position, in the space L 2 [ ...
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Discrete adomian decomposition method for solving fredholm integral equations of the second kind
... First of all, thanks to Allah, who has given me the strength to complete this dissertation. In preparing this thesis, I was in contact with many people. They have contributed towards my understanding and thoughts. ...
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Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*
... method, and the numerical results at the Chebyshev nodes are superior to equi- distant nodes. From Table 1, we can see that the errors increase with m varying from 8 to 16. In Table 2, the numerical results of the BLIF ...
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An approximation method for the solving a class of nonlinear integral equations
... nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of nonlinear ...
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B-spline Method for Solving Fredholm Integral Equations of the First Kind
... that ∆ is the domain that can be defined in the system input. In this formulation, the direct problem is to compute the output, given, the in- put and the mathematical description of the sys- tem. The goal of the inverse ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... In this paper, we consider a variant of projected Tikhonov regularization method for solving Fredholm integral equations of the first kind. We give a theoretical analysis of this method in the ...
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Dual Integral Equations Technique in Electromagnetic Wave Scattering by a Thin Disk
... numerical scheme, see Discussion). Note that this choice of spaces is not arbitrary, but follows from the edge behavior condition. Also note that, in the case m = 0, DIEs (20), (21) decouple and can be reduced to two ...
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Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... differential equations including the one-dimensional nonlinear Burgers equa- tion [18] with shock wave, shallow water equations for tide and currents sim- ulation [17], heat transfer problems [30], and free ...
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Numerical solution of the system of Volterra integral equations of the first kind
... Volterra integral equations of the first ...linear integral equations were considered, but examples were investigated for non-linear ...
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Contact problem for bonded nonhomogeneous materials under shear loading
... 3. Statement of problem and derivation of Fredholm integral equation of the second kind. We consider the problem of the antiplane shear of a nonhomogeneous half-space ( 0 < x < ∞, 0 < y < ...
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Nonlinear Two-Phase Stefan Problem
... 16. Bahrami F., Aliev N., and Hosseini S.M. A Method for the reduction of four dimensional mixed problems with general boundary conditions to a systems of second kind fredholm integral ...
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Adapting the Normalized Cumulative Periodogram Parameter-Choice Method to the Tikhonov Regularization of 2-D/TM Electromagnetic Inverse Scattering Using Born Iterative Method
... In this paper, we use Tikhonov regularization in conjunction with a new parameter-choice method for solving the discretized inverse scattering problem using the BIM. This new parameter-choice method is based on the ...
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Kress smoothing transformation for weakly singular Fredholm integral equation of second kind
... boundary Fredholm integral equation in domains with ...this integral equation has a singularity at the corner ...considers integral equations of the second kind in the slightly ...
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Numerical Solution of Nonlinear Fredholm Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
... F u u and G u ( ) u q . Orthogonal functions and polynomials receive attention in dealing with various problems that one of those in integral equation. The main characteristic of using orthogonal basis is that ...
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Fuzzy Galerkin method for solving Fredholm integral equations with error analysis
... The solution is c (r) 1 = c (r) 2 = 0 and c (r) 2 = 3[r 2 + r, 4 − r 3 − r]. Thus, the fuzzy solution of (5.13) is x (r) 2 (t) = 3t[r 2 + r, 4 − r 3 − r]. It can be verified that the exact fuzzy solution of the given ...
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