[PDF] Top 20 Fredholm Volterra integral equation with potential kernel

... the Fredholm integral equation of the second kind with potential function kernel is obtained by ...The potential theory method is used in [4, 2] to obtain the eigenvalues and ... See full document

... the equation in (II.62) combines the differential operator and the integral operator ,then it is necessary to define initial conditions for the determination of the particular solution 𝑢(𝑥) of the nonlinear ... See full document

... mixed Volterra-Fredholm integral equations of the second kind, based on the expansion of the solution as series of ...mixed Volterra-Fredholm integral equation whose ... See full document

... [8]-[11], integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...quadratic integral equations of arbitrary orders with singular ...quadratic integral ... See full document

... We conclude this section with a comment regarding the extension of the results of Theorem 1 to the nonlinear Equation (1). Under the assumption of the existence of a (unique) solution y t   on I, the nonlinear ... See full document

... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...of Volterra integral equations and Freholm-Volterra integral ...solving ... See full document

... The Legendre wavelet operational matrix P, together with the integration of the product of two Legendre wavelet vectors functions, are utilized to solve the integral equation. The present method reduces an ... See full document

... of Fredholm integral equations of the first and second kinds, are obtained under the supposition that the kernel k(x, y) and the input function g(x) are piecewise-continuous and ...singular ... See full document

... homogeneous equation when | λ | > 1 has a continuous spectrum, and the multiplicity of the characteristic numbers increases depending on the growth of the modulus of the spectral parameter | λ ...initial ... See full document

... nonlinear 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 ... See full document

... Theorem . Consider the nonlinear fractional differential equation (.). Suppose that there are two functions ψ , φ : [, ∞ ) → [, ∞ ) with ψ is an altering distance function and φ is a continuous function such ... See full document

... an integral reformulation results in linear or nonlinear integral ...linear integral equations are Fredholm and Volterra ...nonlinear integral equation is that of ... See full document

... Hankle integral transform replaced by sine or cosine Fourier ...of integral equations ...single integral equation by a set of simultaneous algebraic equations; again matrix techniques are ... See full document

... 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 proposed ... See full document

... In this paper, Legendre wavelets method was aplied for solving system of linear integral equations. The present method reduced the system of integral equations to a system of linear algebraic equations. We ... See full document

... of equation (1) to be deter- ...of Fredholm integral equations with weakly singular ...considered integral equation of first or third kind with weakly singular kernel of the form ... See full document

... nonlinear Fredholm-Volterra integral equations, ...nonlinear Fredholm-Volterra integral equations reduce to the system of nonlinear algebraic equations which can be solved by an ... See full document

... including integral, algebraic, differential, partial-differential, functional-delay and integro- differential ...solving Fredholm cum Volterra Hammerstein integral equations and provide ... See full document

... 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 ... See full document

... In literatures, different numerical methods used to solve 2-dimensional (MVFIEs) have been reported. In (1) Babolian et al. applied block pulse function and their operational matrix to solve (MVFIEs) in 2-dimensional ... See full document