[PDF] Top 20 A new numerical scheme for solving systems of integro-differential equations

... integral equations, linear or nonlinear, appear in scientific appli- cations in engineering, physics, chemistry and populations growth models[4-6, 14, ...of systems of integral equations have ... See full document

... for solving systems of integro-differential equations using Cheby- shev wavelets ...for solving linear and non-linear systems of integro-difieren- tial ... See full document

... Volterra integro-differential ...algebraic equations in terms of Genocchi coefficients of the unknown ...By solving the Genocchi coefficients, we obtain good approximate functions of the exact ... See full document

... us. Integro-differential equations and fractional differential systems have recently proved to be very useful in the field of physics, engineering, control processing for visco-elastic ... See full document

... for solving linear integro-differential equations of fractional order ...for solving systems of linear integro-differential equations of fractional order has ... See full document

... α. Equations of this form can be derived from a physically consistent theory of continuous time random walks [7], including extension to multiple ...The numerical scheme is ob- tained by first ... See full document

... NTEGRO-DIFFERENTIAL equations arise in modeling various physical and engineering ...problems. Solving such equations is very interesting, and several numerical and analytical methods ... See full document

... The article is organized as follows: in Section 2 we define the Legendre wavelets and operational matrix of integration. Section 3 is devoted to the solution of Eq. (1). In Section 4, we obtain an error bound for our ... See full document

... defined new orthogonal functions based on the shifted Legendre polynomials to obtain the numerical solution of fractional-order differential ...a new Tau technique for solving ... See full document

... for solving a class of linear fractional integro-differential equations of Volterra ...a new investigation of ultrasphreical in- tegration to approximate the highest order derivative in ... See full document

... a new numerical scheme for a class of coupled forward- backward stochastic differential equations (FBSDEs) is proposed by using branching particle systems in a random ...step ... See full document

... This paper is organized as follows: In Section 2, the flatlet scaling functions and multiwavelets on [0, 1] is given. In Section 3, we construct the fractional biorthog- onal basis for the flatlet multiwavelets. Next we ... See full document

... of integro-differential equations have a major role in the fields of science, physical phenomena, and engineering, such as nano-hydrodynamics, glass-forming process, dropwise condensation, wind ... See full document

... x + y z Γ is the solution of Scheme 1. For the sake of simplicity, we only consider one-dimensional BSDEs ( i e m . ., = = d 1 ) . However, all error estimate that we obtain in the sequel also hold for general ... See full document

... Recently, new applications of the Bernoulli polynomials have also been found in mathematical physics, in connection with theory of Korteweg-de Vries equation [8], Lame equation [9] and in the study of vertex ... See full document

... differential equations. Integral and integro-differential equations with fuzzy primal conditions have led to many practical approaches and are essential tools for various real- world problems in ... See full document

... a new numerical method for solving a linear system of fractional integro-differential equations is ...the new operational matrices of triangular ...provided. ... See full document

... a new numerical scheme for solving first-order hyperbolic par- tial differential equations is proposed and is implemented in the simulation study of macroscopic traffic flow ... See full document

... for solving this type of nonlinear differential equations in which moments are used instead of the constant coefficients of Adams-Bashforth ...Riccati differential equation we can obtain a ... See full document

... obtain numerical solution of a singular integro-differential ...The numerical results obtained by the present method compare favorably with those obtained by various Galerkin methods earlier ... See full document