Fredholm integral equations
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 Hilbert ...
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A computational method for nonlinear mixed Volterra-Fredholm integral equations
... The present paper has been organized as follows. In Section 2, we will introduce M3D-BFs and its properties. In Section 3, theorems are proved for convergence analysis. In Section 4, we will apply these sets of M3D-BFs ...
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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 first ...of ...
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Existence results of Brezis Browder type for systems of Fredholm integral equations
... RESEARCH Open Access Existence results of Brezis Browder type for systems of Fredholm integral equations Ravi P Agarwal1,2*, Donal O?Regan3 and Patricia JY Wong4 * Correspondence Agarwal@tamuk edu 1De[.] ...
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Fuzzy Galerkin method for solving Fredholm integral equations with error analysis
... Fredholm integral equations is ...fuzzy Fredholm integral equations, based on Henstock integral of Lipschitzian fuzzy-number-valued ...Henstock integral theory can ...
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The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... the Fredholm integral ...Freedholm integral equation using Matlab Software; we have found that the numerical solution was approximately as the exact ...
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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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Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations
... of the extended method were discussed and some results were established. In [5], the homotopy analysis method (HAM) was applied for solving fuzzy linear Fredholm integral equations of the second ...
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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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Convergence of Discrete Adomian Method for Solving a Class of Nonlinear Fredholm Integral Equations
... Integral equations provide an important tool for modeling a numerous phenomena and processes and also for solv- ing boundary value problems for both ordinary and par- tial differential ...gral ...
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B-spline Method for Solving Fredholm Integral Equations of the First Kind
... the Fredholm integral equations of the first kind are an ill posed problem, there is a sys- tematic expression method that converts it to the second kind integral equation and its use was very ...
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Collocation Method for Nonlinear Volterra Fredholm Integral Equations
... Volterra-Fredholm integral equations and finally, some numerical results are presented in the final section, which support the theoretical results obtained in this ...
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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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An effective collocation technique to solve the singular Fredholm integral equations with Cauchy kernel
... singular Fredholm integral equations (CSFIEs) of the first kind is ...algebraic equations, we see that this approach is computationally simple and ...
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Some nonlinear integral inequalities for Volterra-Fredholm Integral equations
... Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm nonlinear ...
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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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Modified Numerical Method for Solving Fredholm Integral Equations
... Abstract. In this work, we have presented a novel method to find the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series multiplied by an ...
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An approximation method for the solving a class of nonlinear integral equations
... NONLINEAR FREDHOLM INTEGRAL EQUATIONS In this section, we consider Fredholm equation in (1) and approximate to solution by means of finite Chebyshev series defined in ...
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On certain Heun functions, associated functions of discrete variables, and applications
... of integral and series representations as well as integral equations and asymptotic formulas are obtained for these ...series equations which are reduced to the Fredholm integral ...
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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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