[PDF] Top 20 A numerical method for partial fractional Fredholm integro-differential equations

... and partial differential and integral equations have been applied for solving many practical problems which are modeled in various fields of science and engineering, such as, physics, ... See full document

... to fractional order linear and nonlinear integro-differential equations ...construct fractional orders generalized Legendre wavelets operational matrix of integration and use this to ... See full document

... the fractional biorthog- onal basis for the flatlet ...of fractional derivative which is applicable for numerical solution of the given boundary value ...proposed method is used to solve some ... See full document

... solving differential equations with deviating argument and some others discussed the numerical treatment of delay differential equations ([14], [17], [18]) and second order ... See full document

... suggested method with m = 16 and m = 32. The obtained numerical results are shown in Table I and Figs ...of fractional integro differential ... See full document

... polynomials method to solve second kind 3 -rd order Volterra-Fredholm integro- differential ...Polynomial method is described in the second ...which method required for our ... See full document

... and partial differential equations as generalization of classical integer order ordinary differential equations are increasingly used to model problems in fluid flow, continuum and ... See full document

... matrix method for solving nonlinear Volterra-Fredholm integro-differential equa- tions under initial conditions in terms of Bernstein polynomials on the interval ...matrices’ equations ... See full document

... the numerical solution of one-dimensional Fredholm integro-differential equations (FIDEs), corresponding error analyses, an aspect considered to be a default element in the exposition ... See full document

... matrix method for solving system of linear Fredholm integro-differential equations(FIDEs) of the second kind on unbounded domain with degenerate kernels in terms of generalized Laguerre ... See full document

... proposed method of section ...our numerical results are in perfect agreement with the exact solution for ν = ...wavelet method [32] and the presented method, we find that our method has ... See full document

... series method, which requires sym- bolic computation of the necessary derivatives of the data ...polynomials method is computationally tedious for high ...tional equations. It is possible to solve ... See full document

... and integro-differential equations, because a great number of problems in physi- cal science and engineering are modeled by such equations [6, 5, 2, 15, 11, 13, 16, 17, 9, 3, 10, 4, ...direct ... See full document

... considered Fredholm integro-differential equation type second-order boundary value problems and proposed a rational difference method for numerical solution of the ...difference ... See full document

... new method for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline ...this method, convergence and ... See full document

... the partial integro-differential equations (PIDEs), a substantial number of meth- ods have been ...Legendre-Galerkin method for solving a parabolic PIDE with convolution-type kernel was ... See full document

... Abstract: Integro-differential equations arise in modeling various physical and engineering ...Several numerical and analytical methods have been developed for solving ... See full document

... the integro- differential equations [5, 6], however, considerable works on numerical solutions of partial integro- differential equations have not been carried ... See full document

... decomposition method for solving nonlinear Volterra-Fredholm in- tegro differential equations of the second kind is illustrated by studying the following examples in the section ... See full document

... the fractional calculus and the Chebyshev ...and fractional integral operators. In Sect. 5, we propose a spectral method based on op- erational matrix for solving FPDEs of the form ...some ... See full document