[PDF] Top 20 SOLVING HIGHER-ORDER INTEGRO DIFFERENTIAL EQUATIONS BY VIM AND MHPM
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SOLVING HIGHER-ORDER INTEGRO DIFFERENTIAL EQUATIONS BY VIM AND MHPM
... for higher-order integro-differential equations have been investigated by Morchalo [27] and Agarwal [1] among ...for higher-order integro-differential ... See full document
12
Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
... 2.2. Flatlet Multiwavelet System. A flatlet multiwavelet system (FMS) in gen- eral consists of m + 1 scaling functions and m + 1 wavelets defined on [0, 1], called multiscaling functions and multiwavelets, respectively. ... See full document
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Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations
... where j refers to the jth order of the integro-differential equation and j = 1, 2, 3, . . . , n. k(t, x) are integral kernel and a function of t andx, which arise in mathematical biology, physics and more. ... See full document
15
Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method
... and VIM results given in [1,2], we notice that the result obtained by the present method is very superior (lower error com- bined with less number of iterations) to that obtained by HPM and ... See full document
5
Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... for solving the fractional equations and it needs a small amount of ...thus solving a higher-order equation becomes a matter of dimension increasing; (c) the solution is a ... See full document
16
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... fractional differential equations of a range of forms and classes, carry on to draw increasing attention from many ...and Differential Transform method (DTM), [18], ... See full document
12
Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients
... of solving a system of algebraic equations, thus greatly simplifies the problems, and secondly in general converges exponentially and almost always supplies the most terse representation of a smooth ... See full document
9
Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order
... and differential transform method(DTM),[13],[15]. Generalized Differential transform (GDT) has taken the shape of an important and convenient ...used differential transform in numerical methods to ... See full document
18
Variational iteration method for solving nth-order fuzzy integro-differential equations
... The structure of this paper is organized as fol- lows. In Section 2, some basic definitions and notations which will be used are brought. In Sec- tion 3, the numerical method to solve nth-FIDE is proposed. In Section 4, ... See full document
8
On approximate solutions for two higher order Caputo Fabrizio fractional integro differential equations
... In order to increase the power and applicability of the fractional calculus some researchers suggested a new type of fractional derivatives possessing different ...for solving some different equations ... See full document
11
The solving integro-differential equations of fractional order with the ultraspherical functions
... for solving a class of linear fractional integro-differential equations of Volterra ...highest order derivative in the equations and generat approximations to the lower ... See full document
7
Generalized H-differentiability for solving second order linear fuzzy differential equations
... fuzzy differential equations (FDE) Kandel and Byatt [20] applied the concept of fuzzy differential equations (FDE) to analyze the fuzzy dynamic ...for solving fuzzy differential ... See full document
9
Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... We organize the rest of the paper as follows. In Sect. 2, we introduce some basic definitions and mathematical preliminaries of fractional calculus theory. In Sect. 3, the fractional-order Euler functions and their ... See full document
13
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... the differential equations at Azarbai- jan Shahid Madani ...for solving boundary value problems including fractional differential equations under the super- vision of ... See full document
7
On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions
... Many authors have been investigated the problems of exis- tence and uniqueness of positive solutions to boundary value problems for fractional order differential equations, for exam- ple, see [4, 5, ... See full document
7
Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... In this study, we use the fractional-order Bernoulli functions and the associated operational matrix of integration P (ν,α,c) for numerical solution of the nonlinear Riccati differential equation with ... See full document
16
Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations
... to integro- differential equations, it is essential to have alternative ap- proaches which can deal with such ...nonlinear integro-differential equations. The general nth- ... See full document
7
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... In Table III the absolute error between the exact solution and the approximate solution, at m = 16 (in columns 2,3,4) and m = 32 (in columns 5,6,7) are presented respectively. Figs. 7-12 show the evolution results for ... See full document
7
Efficient algorithms for solving nonlinear Volterra integro differential equations with two point boundary conditions
... EFFICIENT ALGORITHMS FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH TWO POINT BOUNDARY CONDITIONS LE.. GAREY and R.E.[r] ... See full document
6
Application of reproducing kernel Hilbert space method for solving second order fuzzy Volterra integro differential equations
... differential equations, probability, statistics, and learning ...for solving a variety of fuzzy differential equations and fuzzy frac- tional differential equations has been presented by Ahmadian ... See full document
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