Fredholm's integral equations
A Regularization of Fredholm type singular integral equations
... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s integral ...
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Existence results of Brezis Browder type for systems of Fredholm integral equations
... that S : (C[0, T]) n ® (C[0, T]) n is ...that S : (C[0, T]) n ® (C[0, T]) n is completely ...that S i Ω is relatively compact for 1 ≤ i ≤ n. Clearly, S i Ω is uniformly bounded, since ...
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Convergence of Discrete Adomian Method for Solving a Class of Nonlinear Fredholm Integral Equations
... nonlinear Fredholm integral equations was discussed using Adomian decomposition method ...nonlinear Fredholm integral equation by DADM converges to ADM ...
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Fuzzy Galerkin method for solving Fredholm integral equations with error analysis
... The desired numerical fuzzy solution [ x(s)] e (r) is selected by having it satisfy (3.1) fuzzy approximately. The most popular of these are fuzzy collocation and Galerkin methods, and we want to extend the ...
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Legendre Wavelet for Solving Linear System of Fredholm And Volterra Integral Equations
... The system (33) solved by three method, first by block-by-block method by R. Kataniand and S. Shahmorad [18], second, an expansion method by M. Rabbania and K. Maleknejad [17], third, Biorthogonal systems M.I. ...
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On Optimal Quadrature Rule for Solving Fuzzy Fredholm Integral Equations
... [13] S. G. Gal, Approximation theory in fuzzy setting, in: G.A. Anastassiou (Ed.), Hand- book of Analytic Computational Methods in Applied Mathematics, Chapman & Hall, CRC Press, Boca Raton, London, New York, ...
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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 ...
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Collocation Method for Nonlinear Volterra Fredholm Integral Equations
... [6] A. T. Diogo, S. McKee and T. Tang, “A Hermite-Type Collocation Method for the Solution of an Integral Equa- tion with a Certain Weakly Singular Kernel,” IMA Jour- nal of Numerical Analysis, Vol. 11, No. ...
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Numerical Methods for Fredholm Integral Equations of the First Kind
... the Fredholm integral equations to the solution of algebraic ...of Fredholm equations of the first kind to a system of algebraic ...solving Fredholm integral ...
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AN INTRODUCTION ON NORMED SPACE IN FUNCTION ANALYSIS
... geometric equations, and ...of Fredholm and Hilbert of integral equations with operator theory, these work of Volterra and Hadamard for the problem of moments, the work of Lévesque, Fr´echet, ...
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An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel
... In recent years, several types of matrix collocation methods have been proposed for solving the singular integral and the singular integro-differential equations (see [, ]). In the present paper, we use ...
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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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New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
... fuzzy integral equa- tions and these equations are very useful for solv- ing many problems in several applied fields like mathematical physics and engineering, therefor various approaches for solving these ...
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Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... nonlinear Fredholm-Volterra integral equations, ...nonlinear Fredholm-Volterra integral equations reduce to the system of nonlinear algebraic equations which can be solved ...
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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... The integral equations provide important tools for modeling a wide range of phenomena and processes [14], and solving many problems in engineering and mechanics which are dependent on finding the solution ...
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An approach based on statistical spline model for Volterra-Fredholm integral equations
... Abstract In this paper, an approach based on statistical spline model (SSM) and colloca- tion method is proposed to solve Volterra-Fredholm integral equations. The set of collocation nodes is chosen ...
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A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
... Volterra-Fredholm integral equations is es- ...the integral terms and imposes some conditions on the kernel of the integral equa- tion to proved that the solution of the discretized ...
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Approximate Analytical Solutions of Fuzzy Linear Fredholm Integral Equations by HAM
... fuzzy integral which is the same as that of Dubois and prade [1], and by means of the extension principle of Zadeh, showed that the fuzzy initial value problem x ′ (t) = f (t, x(t)), x(0) = x 0 has a unique fuzzy ...
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B-spline Method for Solving Fredholm Integral Equations of the First Kind
... The layout of the paper is as follows. Sec- tion 2 is devoted to the cubic B-spline colloca- tion method and properties of the basis functions that are necessary for the formulation of the dis- crete system. In Section ...
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Projected Tikhonov regularization method for Fredholm integral equations of the first kind
... the Fredholm integral equations of the first kind is very simple and effective, owing to the fact that the dimension of the subspace of projection is very small (n = , ); moreover, the regularized ...
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