Two Dimensional Fredholm Integral Equations
Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*
... This paper is constructed as follows: Section 2, we display the barycentric in- terpolation function. Section 3, we transform the two dimensional FIEs into the algebraic equations by utilizing the ...
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Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... This section includes the error estimate and the rate of convergence of the presented method. To understand the numerical behavior of the interpolant or approximant it is essential to have bounds on the approximation ...
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Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
... Riemann integral and its numerical in- tegration was investigated by Wu in ...the integral of fuzzy-number-valued ...differential equations using the Banach fixed point ...fuzzy integral ...
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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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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... of two dimensional Volterra-Fredholm integral equations is ...the integral equation obtained by discretization of the integral equation, the convergence of the approximate ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... The main idea of regularization by projection is to project the least squares minimization on a finite-dimensional subspace to obtain a well-conditioned problem and, consequently, a stabilization of the generalized ...
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Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
... The Fredholm integral equations divided into two groups, referred to as Fredholm integral equations of the first and second ...
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The dual integral equations method involving heat equation with mixed boundary conditions
... physics equations as well known introduced to discuss dual series or dual integral equation DIE ...of two-dimensional heat equation in axially symmetrical cylindrical coordinates with ...
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Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse functions
... ordinary integral equations arise from vari- ous physical and biological ...to two-dimensional nonlinear and linear Volterra-Fredholm ordinary integral equations of the ...
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Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
... the two-dimensional sin- gular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method ...
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Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
... In this paper, we applied (LADM) for solution two dimensional linear mixed integral equations of type Volterra- Fredholm with Hilbert kernel. Additionally, comparison was made with ...
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On Optimal Quadrature Rule for Solving Fuzzy Fredholm Integral Equations
... nonlinear Volterra-Fredholm integral equations. In this paper, we apply an optimal fuzzy quadra- ture formula to solve fuzzy integral equations. The rest of the paper is organized as ...
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Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity
... fourth integral represents the effect of the dislocation on crack-1. Equations (12) and (13) are to be solved for g t 1 ( ) 1 and g 2 ( ) t 2 ...the two cracks are far apart, the last three integrals ...
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An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries
... boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected ...The integral equations are uniquely ...
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A computational method for nonlinear mixed Volterra-Fredholm integral equations
... [2] H. Brunner, On the numerical solution of nonlinear Volterra-Fredholm integral equation by collocation methods, SIAM J. Numer. Anal., 27(4) (1990) 978-1000. [3] A. Cardone, E. Messina and E. Russo, A ...
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Total Ponderomotive Force on an Extended Test Body
... a Fredholm integral equation of first order by Fourier techniques and shows some facts which are needed to give the series expansion of F in inhomogeneity ...
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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 algebraic ...
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Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations
... k(t, s)F (s)ds ; t ∈ [a, b] (3.1) where k : [a, b] × [a, b] −→ ℜ and g : [a, b] −→ ε 1 are known functions, but F : [a, b] −→ ε 1 is an unknown function. Considering the nonnegative kernel k , the above fuzzy equation ...
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An approach based on statistical spline model for Volterra-Fredholm integral equations
... Hence, coupling the statistical spline model and collocation method cause an efficient numerical method to solve integral equations. Error analysis and numerical examples revealed the efficiency of the ...
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... nonlinear Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ...
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