[PDF] Top 20 The Application of the Hybrid Method to Solving the Volterra Integro-differential Equation

... of Volterra integro-differential ...Here, hybrid methods are proposed for the construction of numerical methods with these properties; one of these hybrid methods is well ... See full document

... of Volterra integro-differential equations which are solvable numerically using the reproducing ker- nel Hilbert space (RKHS) method based on the Gram–Schmidt orthogonalization ... See full document

... In this section, we will study the convergence analysis as the same manner in [12] of the LADM applied to the nonlinear Volterra-Fredholm integro differential equations. Let us con- sider the Hilbert ... See full document

... transform method (MHATM) [], modified homotopy anal- ysis Laplace transform method [], homotopy analysis transform method (HATM) [, ], fractional homotopy analysis transform method (FHATM) ... See full document

... fractional differential equa- tions. In general, most of the fractional differential equations do not have ex- act ...iteration method [35], finite difference method [24], Adomian ... See full document

... solve integro-differential equations such as successive approximation method, Adomian decomposition method, Chebyshev and Taylor collocation meth- ods, Haar Wavelet method, Wavelet ... See full document

... for solving Volterra Integro-Differential Equations ...for solving VIDEs which avoid the need for special starting ...for solving stiff ... See full document

... nonlinear integro- differential equations, various methods have been proposed in the past few years such as shifted Jacobi polynomials [4], Bernoulli matrix method [5], Euler polynomials [6], ... See full document

... (28), for two values of N. Figure 2 shows the relative and absolute errors of the corresponding elements in the Legendre and Chebyshev differential matrices. The similarities and small errors (for the largest- ... See full document

... the integro- differential equations through their work in science applications like heat transformer, neutron diffusion, and biological species coexisting together with increasing and decreasing rates of ... See full document

... Our goal is to construct an ε-numerical method for solving (.)-(.), by which we mean a numerical method which generates ε-uniformly convergent numerical approximations to the solution. For this, ... See full document

... Generalized Differential Transformation Method (GDTM) for approximating the solution of systems of linear volterra integro-differential equations of fractional of fractional is ... See full document

... for solving and obtaining a numerical solution of Volterra integro-differential equations in the complex plane by using the finite element ...element method (LBS-FEM) and cubic B-spline finite ... See full document

... By taking the inverse of fuzzy Laplace transformation on both sides of above relations we can easily obtain the value of u t   ;  and u t   ;  where 0    1 . Example 3.1: To solve the following Fuzzy ... 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 Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation ...collocation method properties are ... 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 ripple in ... See full document

... approximate method has to be ...linear Volterra fuzzy integro-differential ...Mura method [14], Ji Huan He [12] developed the variational iteration ...the Volterra fuzzy ... See full document

... in integro -differential equations ...create integro-differential equations ...fractional integro- differential equations ... See full document

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