second-kind-integral-equation solutions
Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... Now the unknown parameters are determined by solving the system of equations 8 and substituting these values of parameters in 3 , we get the approximate solution of the integral equation (7). The maximum ...
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The Successive Approximation Method for Solving Nonlinear Fredholm Integral Equation of the Second Kind Using Maple
... Approximate solutions of linear Volterra integral equation systems with variable coeffi cients ...Volterra Integral Equation Using Implicit Trapezoidal ...Volterra-Fredholm ...
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Numerical Experiments on Eigenvalues of Weakly Singular Integral Equations Using Product Simpson's Rule
... kind integral equation with the kernel given in (2), then the method is of order O(n −m−2+α ) for the first kernel and O(n −m−2 ln n) for the second kernel in ...singular integral ...
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The Numerical Solution of the Fredholm Integral Equations of the Second Kind
... the integral equation ...the integral equation ...of solutions. Note that we have considered only the integral equation of the second kind, where alone this ...
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New technique of two numerical methods for solving integral equation of the second kind
... to integral equations (Abdou, 2002; Abdou,131, 2002; Abdou, ...2003).Their solutions can be obtained analytically, using the theory developed by ...the integral equations ...Fredholm integral ...
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Fredholm Volterra integral equation with potential kernel
... Fredholm integral equations of the first and second kind with a generalized potential kernel are established and their solutions are discussed, the kernel is represented in the Weber-Sonin ...
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On the numerical treatment of the contact problem
... Fredholm integral equation with continuous or discontinuous ...kernel. Integral equa- tion containing singular kernel appears in studies involving airfoil [3], fracture me- chanics contact [18] ...
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On a Volterra equation of the second kind with ‘incompressible’ kernel
... the integral equations of the form () arise in the study of boundary value problems of heat conduction in an infinite angular domain, which degenerates at the initial ...Volterra integral equations with ...
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SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... integro-differential equation was investigated by Rashed (2004), Wazwaz (2006) used the modified decomposition method and the traditional methods for solving nonlinear integral ...exact solutions for ...
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Qualitative behaviour of solutions of hybrid fractional integral equation with linear perturbation of second kind in Banach Space
... Nonlinear integral equation with bounded intervals has been studied extensively in the literature as regard various aspects of the ...of solutions. But the study of non- linear integral ...
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The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind
... the integral, result in system matrices with large condition numbers due to the unbounded integral ...Field Integral Equation (MFIE) shows better convergence behavior, since it is an ...
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The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... analytical solutions and offers certain advantages over standered numerical ...of integral equations has discussed by many authors, for examples “[4, 5, 7]”, and ...The integral equation ...
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Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... equations, integral equa- tions and so ...first kind integral equation into the second kind integral equation by differentiation and calculated the ap- proximate ...
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Using Feed-back Neural Network Method for Solving Linear Fredholm Integral Equations of the Second Kind
... of solutions for linear and nonlinear integral equations have been studied in [12, 13, ...solving integral equation have been developed in the last ...this kind of ...Fredholm ...
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Modified Numerical Method for Solving Fredholm Integral Equations
... Fredholm integral equation of second ...obtained solutions by computing the deviation: error = absolute(y1-y2), where y2 is the numerical ...
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The Effect of Time Stepping on the Accuracy of Green Element Formulation of Unsteady Convective Transport
... (BEM) solutions of time-dependent problems, certain concerns still need to be ...boundary integral theory (A Fredholm integral equation of the second kind) on a generic element ...
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Superconvergence of numerical solutions to second kind integral equations
... Introduction In this chapter we consider the solution of the second kind equation when the kernel is of the form 1 where m is smooth and o has an integrable singularity typically The tw[r] ...
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A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... solving second kind linear Volterra integral ...the integral equation reduces to solve a recurrence ...of integral equation is iteratively produced via the recurrence ...
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Analytical and numerical methods for the Riemann problem
... It is clear that the difference of any two solutions of the non-homogeneous problem (1) is a solution to the homogeneous problem (2). Furthermore, if f is any solution of (2), then so is kf for any real k . Hence, ...
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NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS
... linear second kind integral ...the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...
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