[PDF] Top 20 Numerical solution of some class of integro-differential equations by using Legendre-Bernstein basis

... a numerical method is developed to solve the linear integro-differential ...Fredholm integro-differential equations (FIDE) and Volterra integro-differential equations ...by ... See full document

... a numerical method is presented for solving a class of linear Fredholm integro- differential ...the integro-differential equations to the alge- braic ...by some ... See full document

... a numerical technique for solving fractional Integro- Differential Equations (FIDEs) is ...is Bernstein Least- Squares Technique (BLST) via Bernstein polynomials as basis ... See full document

... the Legendre wavelets method to solve the linear and nonlinear fractional integro-differential ...algebraic equations by expanding the solution as Legendre wavelets with unknown ... See full document

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

... and integro-differential equation is one of the important topics in applied mathematics and also found its applications in various fields of science and ...several numerical methods for approximating ... See full document

... various numerical and analytical methods to solve such problems, for example, the homotopy perturbation method [3], the Adomian decomposition method [4], but each method limits to a special class of ... See full document

... the solution x(t) of the ...our numerical methods. There is much work which provides some methods for numerical solutions of some types fractional differential equations (see [, ... See full document

... integral equations. Since these equations usually cannot be solved explicitly, so it is required to obtain approximate ...numerous numerical methods which have been focusing on the solution of ... See full document

... a numerical method is developed to solve the Hammerstein integral ...approximated using the least-squares approximation schemes based on Legendre-Bernstein ...The Legendre polynomials ... See full document

... Volterra-Fredholm integro-differential equa- tions under initial conditions in terms of Bernstein polynomials on the interval ...matrices’ equations by operational matrices of Bernstein ... See full document

... a solution of second kind Volterra integral and integro-differential equations by using Bernstein polynomials method ...and integro-differential equations to ... See full document

... present Legendre wavelet method to obtain numerical solution of a singular integro-differential ...The numerical results obtained by the present method compare favorably with ... See full document

... Theorem 2. (Existence theorem) .Let the vector functions 𝑓 (𝑡, 𝑥, 𝑥,̇ 𝑦, 𝑦,̇ 𝑧) , 𝑔(𝑡, 𝑥, 𝑥,̇ 𝑤, 𝑤̇) be defined on the domain (1) continuous in 𝑡, 𝑥, 𝑥,̇ 𝑦, 𝑦,̇ 𝑧 ̇ , 𝑤, 𝑤̇ and satisfy the inequalities( 2) to (8)and the ... See full document

... the numerical solution of a nonlinear integro- differential equation modeling the temporal variation of the mean number density a(t) in the single-species annihilation reaction A + A → ∅ is ... See full document

... solving differential equations based on numerical approximations were developed before programmable computers ...existed. Differential equations are an important part of many areas of ... See full document

... Suppose V is a reflexive banach space with norm , and M ⊂ V is a weakly closed subset of V. Suppose that a functional E is coercive and weak lower semi-continuous on M with respect to V. Then the functional E is bounded ... See full document

... In this paper, we establish the conditions for the existence of a unique solution for problem (1.1), which is indeed an important and useful contribution to the existing literature on the topic. We emphasize that ... See full document

... fractional differential operators which have been used to describe materials constitutive equations; see [4, 5, and ...approximated solution of system fractional differential equations; ... See full document

... fractional differential equations have gained considerable popularity of many researchers due to their applications in many engineering and scientific disciplines such as control theory, signal processing, ... See full document