دانلود رایگان Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Method
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Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Methodنوع فایل:PDF
تعدادصفحات:9
سال انتشار:1395
چکیده
In this paper , the Combined Laplace Transform- homotopy perturbation Method is used to solve nthorder integro-differential equations . The results show that the method is very simple and effective.Comparisonn with exact solution shows that the method is very effective and convenient for solvingintegral equations
واژگان کلیدی
Integro-Differential Equations,Laplace Transform Method, homotopy perturbationMethod
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Laplace homotopy analysis method for solving linear partial ...
Advances in Difference Equations Laplace homotopy analysis method for solving
linear partial differential equations using a fractional derivative with and ... based
on a combination of the Laplace transform and homotopy methods in order to ....
Now, if the kernel (t – s)n–α– is changed for the function exp(–α(t – s)/( – α)), ...
مقاله Solving nth-Order Integro-Differential EquationsUsing the ...
In this paper , the Combined Laplace Transform- homotopy perturbation Method
is used to solve nthorder integro-differential equations . The results ...
Comparisonn with exact solution shows that the method is very effective and
convenient for ...
The combined Laplace-homotopy analysis method for partial ...
of differential, integral and integro-differential equations. The method ... method
coupled with the Laplace transformation for solving the linear and nonlinear
equations in ... We define a nonlinear operator N as. N[φ(x, s ... In order to assess
the advantages and the accuracy of Laplace-homotopy analysis method for
solving ...
COMMUNICATIONS ON ADVANCED COMPUTATIONAL SCIENCE ...
Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform-Successive Approximations Method. MH Ali Akbar Ostovar.
Nonlinearities distribution Laplace transform-homotopy ... - NCBI - NIH
9 Oct 2014 ... In particular the L.T. is useful for solving ODES with constant coefficients, ... was
reported a combination of Homotopy Perturbation Method (HPM) and L.T. ... Also,
a few exact solutions to nonlinear differential equations have been .... linear third
order ordinary differential equation with variable coefficients.
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combined form of the Laplace transform method and the homotopy analysis
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.
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where z, β, γ, κ ∈ C, (α) > max ({0, (κ) − 1} , (κ) > 0), with Pochammer's symbol (γ)
.... The Laplace transform of a function u(x, t) with regard to the.
PDF (References)
Combined Laplace Transform-Differential Transform method for solving linear ...
Applied for Solving Linear and Nonlinear Volterra Integral Equation with.
PDF (References)
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Applied for Solving Linear and Nonlinear Volterra Integral Equation with.
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... y · y > 0 is the Euclidean norm of y. Equations (1) and (2) conclude: ˙n := (t,y) y.
−.
( ) ( ) ∫ - FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL
8 Feb 2017 ... SOLVING NONLINEAR VOLTERRAINTEGRO-DIFFERENTIAL EQUATIONS ... on
the elegant combination of Laplace Transform method, Series expansion method
and Adomian ... problem to an integral equation by using Leibnitz rule. ...
Consider the nth order integro-differential equation of the form;.
New homotopy analysis transform algorithm to solve volterra integral ...
The main advantage of this proposed method is its capability of combining two
powerful ... differential and integral equations by using various methods with
combined the ... Now operating the Laplace transform on both side in Eq. (2.1),
we get ... great mathematician Liao [1–4] construct the zero order deformation
equation.
PDF (References)
Combined Laplace Transform-Differential Transform method for solving linear ...
Applied for Solving Linear and Nonlinear Volterra Integral Equation with.
Solving nth-Order Integro-Differential Equations Using the ...
In this paper, the Combined Laplace Transform-Adomian Decomposition Method
is used to solve nth-order integro-differential equations. The results show that ...
The Combined Laplace-Homotopy Analysis Method for Partial ...
combined form of the Laplace transform method and the homotopy analysis
method. ... and nonlinear partial differential equations by using various methods.
... transformation for solving the linear and nonlinear equations in this paper. .... N
. (19). Using the definition (18) and (19), we construct the zeroth-order
deformation ...
Dear Prof. B. V. Rajarama Bhat Editor in chief, Proceedings ...
schemes have been proposed to solve fractional differential equations. ... pulse
operational matrix method [25] and Laplace transform method [26]. Also ...
matrices of fractional order integration for the Haar wavelets [27], Legendre ....
equation is approximated using a linear combination of the CWs. ... (x − t)n−α−1u
(n)(t)dt,.
Numerical solution of the system of Volterra integral equations of the ...
... integro- differential equations that use VIM and MVIM to approximate solution
of this system and hence ... integral and integro- differential equations [9] that the
... Laplace transforms [8] and the Pad technique for solving ... of order less than s,
N expresses the nonlinear ...... ating Combined Iterative Methods in Solving.
The combined Laplace-homotopy analysis method for partial ...
of differential, integral and integro-differential equations. The method ... method
coupled with the Laplace transformation for solving the linear and nonlinear
equations in ... We define a nonlinear operator N as. N[φ(x, s ... In order to assess
the advantages and the accuracy of Laplace-homotopy analysis method for
solving ...
Application of Bernstein Polynomials for Solving Linear Volterra ...
16 Aug 2017 ... Integro-Differential Equations with Convolution Kernels ... Transform [4] and
Combined Laplace Transform-Successive Approximations ... In this equation 'n' is
the order of the derivative of an unknown function f (t), while g.
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Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform-Successive Approximations Method. MH Ali Akbar Ostovar.
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The Combined Laplace-Homotopy Analysis Method for Partial ...
combined form of the Laplace transform method and the homotopy analysis
method. ... and nonlinear partial differential equations by using various methods.
... transformation for solving the linear and nonlinear equations in this paper. .... N
. (19). Using the definition (18) and (19), we construct the zeroth-order
deformation ...
Homotopy perturbation and Elzaki Transform for Integral and Integro ...
9 Sep 2015 ... transform (ET). Moreover, we will make use of a combination of these two ... way
of solving the linear and nonlinear differential equations with proportional delay.
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example, consider the following nonlinear first-order differential.
Numerical solution of telegraph equation by using LT inversion ...
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.... discontinuities by He [24], nth order integro-differential equations by Golbabai
..... to achieve this, we adopted a combination of Laplace transform scheme and ...
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H.: Solving nth –order integro–differential equations using the combined laplace
...
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Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform-Adomian Decomposition Method. Waleed Al-Hayani. ○Abstract.
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1 Sep 2013 ... Thus the nonlinear integro-differential equation can be easily solved with less ...
based on using the properties of differential transform and calculus to .... where
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...... [12] A. M Wazwaz, The combined Laplace transform-Adomian ...
Application of fuzzy Laplace transforms for solving fuzzy partial ...
8 May 2014 ... fuzzy partial Volterra integro-differential equation with convolution type kernel
using ... The technique of fuzzy Laplace transform method to solve .... Next we
define the nth order partial H-derivatives for fuzzy valued functions.
Numerical solutions of fourth-order Volterra integro-differential ...
Integro-differential equations; Boundary value problems; Adomian ... Therefore,
these problems must be solved by various approximation and numerical methods
. ... and it is given by Gðx; nÞ ¼ Using (14) and (16), we transform BVPs for IDEs (
1) ..... Wazwaz , A.M. : The combined Laplace transform-Adomian decomposition
...
Numerical solutions of fourth-order Volterra integro-differential ...
Integro-differential equations; Boundary value problems; Adomian ... Therefore,
these problems must be solved by various approximation and numerical methods
. ... and it is given by Gðx; nÞ ¼ Using (14) and (16), we transform BVPs for IDEs (
1) ..... Wazwaz , A.M. : The combined Laplace transform-Adomian decomposition
...
on the homogenization of second order differential equations - jstor
N. Antonie [7], The memory kernel is described by using the eigenfunction expan-
sion and a ... We can solve the Volterra integral equation by Laplace transform
and reduce it to the ... problem is an integro-differential equation with the
nonlocal or memory kernel given explicitly as the ..... Combining (3.13) and (3.14)
yields.
Applicability of Laplace decomposition method for solving ... - imvibl
17 Jun 2013 ... Laplace decomposition method is based on Laplace transform ... an integro-
differential-difference equation with differential order one and .... In (2.7), An s are
the nth Adomian Polynomials [3] of F1(u(t),u (t)) as given below:.
Solving nth-Order Integro-Differential Equations Using the ...
26 آوريل 2017 ... Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform- homotopy perturbation Method.
Solving nth-Order Integro-Differential Equations Using the ... - تک بوک
Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform- homotopy perturbation Method. In this paper , the Combined Laplace
...
An Analytic Approach to Weakly-Singular Integro-Dynamic Equation ...
16 Jan 2017 ... In order to eliminate the singularity of the equation, nabla derivative is used ...
Linear and nonlinear Volterra integro-differential equations play an ... the
combined Laplace transforms-adomain decomposition method ... to the solution
of the considered integro-dynamic equations with weakly singular kernel.
The Combined Reproducing Kernel Method and Taylor Series for ...
The approximation solution is expressed by n-term summation of re- ... Laplace
transform-Adomian decomposition method [11], modified Adomian decom- ... with
weakly singularity [25], second-order integro-differential equations of Fred-.
An Algorithm for Solving Initial Value Problems Using Laplace ...
nth order linear or nonlinear ordinary differential equations with initial conditions.
... integro-differential equations [8] and Airy's equation [9]. Different ... The
Laplace Adomian Decomposition Method (LADM) is a combination of ADM and
... First, we use a transformation x = et to reduce the equation in (2) to a
differential ...
The Combined Laplace-Homotopy Analysis Method for Partial ...
combined form of the Laplace transform method and the homotopy analysis
method. ... and nonlinear partial differential equations by using various methods.
... transformation for solving the linear and nonlinear equations in this paper. .... N
. (19). Using the definition (18) and (19), we construct the zeroth-order
deformation ...
Numerical solutions of fourth-order Volterra integro-differential ...
7 Sep 2016 ... Keywords Integro-differential equations Б Boundary value problems Б Adomian
... IDEs with given boundary conditions are difficult to solve analytically. .... Hence
, the n-term approximate series solution is obtained as. /nрx, c1 ..... Wazwaz, A.M.
: The combined Laplace transform-Adomian decomposition ...
مقاله Solving nth-Order Integro-Differential EquationsUsing the ...
In this paper , the Combined Laplace Transform- homotopy perturbation Method
is used to solve nthorder integro-differential equations . The results ...
Comparisonn with exact solution shows that the method is very effective and
convenient for ...
Solving nth -Order Integro-Differential Equations Using the ...
22 Jun 2017 ... Solving nth -Order Integro-Differential Equations Using the Combined Laplace
Transform-Adomian Decomposition Method. Article · January ...
MODIFIED ADOMIAN DECOMPOSITION METHOD FOR DOUBLE ...
This paper deals with the double singular boundary value problems of second
order. The differential equation has two singular points and the singular points
are just ... Nonlinear models are solved by this method to get more reliable .....
A.M. Wazwaz, The combined Laplace transform-Adomian decomposition method
for ...
He-Laplace Method for Special Nonlinear Partial Differential ...
combined with the well-known Laplace transformation method [18] which is ... the
main objective is to solve partial differential equations by using He-Laplace
method. ... divided into a linear part L and a nonlinear part N. Eq. (1) may
therefore be ..... integral and integro-differential equations, Computers and
Mathematics with ...
Nonlinearities distribution Laplace transform-homotopy perturbation ...
9 Oct 2014 ... In particular the L.T. is useful for solving ODES with constant coefficients, ... was
reported a combination of Homotopy Perturbation Method (HPM) and L.T. ... Also,
a few exact solutions to nonlinear differential equations have been ... except for
the non-linear operator N and the non homogeneous function f, ...
Solving Singular Partial Integro-Differential Equations Using ... - IJISET
Using Taylor Series. Hussam E. Hashim1 ... combined Laplace transform-
Adomian decomposition ... For first-order partial differential equations, we use the
.... n n yxf yxf. Which is the exact solution. 2.2 Second-order partial integro-
differential.
Solution of linear Volterra integro-differential equations via Sinc ...
order linear Volterra integro-differential equations with boundary conditions. ...
and then found numerical inversion of Laplace transform by operational matrices.
.... by the following linear combination of the sinc functions: y(x) ≈ yn(x) = N. ∑.
Integral Transform Method for Solving Time Fractional ... - UEM
related to partial differential equations can be solved by using a special integral
... The left Caputo fractional derivatives of order α > 0 (n - 1 < α ≤ n, n ∈ N) is ...
Laplace transform can be used to solve certain types of singular integral equa- ...
of porous filtering contain integral and integro - differential equation with singular.