[PDF] Top 20 A numerical technique based on operational matrices for solving nonlinear integro-differential equations

... Integro-differential equations frequently appear in all fields of sciences such as physics, chemistry and engineering problems [11, 20, 23, ...fractional differential equations have ... See full document

... is based upon Bernoulli wavelets ...the operational matrix of fractional integration for Bernoulli wavelets by expanding these wavelets into block-pulse ... See full document

... new numerical method for solving a linear system of fractional integro-differential equations is ...proposed technique is based on the new operational ... 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

... 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

... introduce operational matrices of fractional integration based on fractional orthogonal basis ...the numerical algorithms. In Sect. 5, a fractional Legendre operational matrix is ...two ... See full document

... For solving fractional differential and fractional integro-differential equations different numerical techniques have been ...fractional differential transform method is ... See full document

... for solving integro differential equations [2, 4, 17, 19, ...the integro-differential ...solve nonlinear Volterra-Fredholm integral and integro differential ... See full document

... for solving nonlinear integro-differential ...is based upon the Laplace Adomian decomposition method coupled with some quadrature rules of numerical ...Four numerical ... See full document

... new technique via Bernstein polynomials as basis function is applied to find the numerical solution of fractional integrodifferential equation of the type in (1) and ...is based on approximating the ... See full document

... the operational matrices of derivative based on the (HTKCPBPF). Convergence analysis of the proposed method is done in Section 5. In Section 6 and 7, we show the validity and efficiency of the ... See full document

... Volterra integro- differential ...to integro-differential equations [2, 5 – 6, 15 - ...for solving the Volterra integro-differential ...for solving IDE and ... See full document

... for solving nonlinear fractional Volterra integro-differential equations is ...suggested technique transforms this type of equations to the solution of a system of ... See full document

... causes differential equations, integro-differential or partial differential equations involving stochastic excitations of a Gaussian white ...stochastic differential ... See full document

... to nonlinear Volterra- Fredholm integro-differential ...these equations can also appear when transforming a differen- tial equation into an integral equation ...of equations, the ... See full document

... The technique that we used is the single-term Haar wavelet series method (STHWS), which is based on Haar wavelet series ...for solving first order fuzzy differential equation under strongly ... See full document

... k j x t  M j x N j t , j  1, 2 . Five different problems are solved to make clear the application of the DTM on such class of integro-differential equations. We introduce theorems in general forms ... See full document

... In this article, the boundary value problems for nonlinear FIDEs are discussed theoreti- cally and numerically. Theoretically, we proved the positivity and uniqueness results for the problem. On the other hand, we ... See full document

... 3. The solution of integral equations. In this section, we apply the algorithms de- scribed in Section 2 to some problems of integral equations. Most of the problems discussed were solved using Taylor-type ... See full document

... x + − . We apply the suggested method with J = 1 and J = 2 . The behavior of the approximate solution using the proposed method with J = 1 , J = 2 and the exact solution are presented in Figure 1. In Table 1, we give the ... See full document