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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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Solving nth-Order Integro-Differential Equations Using the ...

download سپتامبر 2, 2017 ریاضی دیدگاه‌ها برای Solving nth-Order Integro-
Differential Equations Using the Combined Laplace Transform- homotopy ...

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 ...

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Dear Prof. B. V. Rajarama Bhat Editor in chief, Proceedings ...

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transform-Adomian decomposition method [11], modified Adomian decom- ... with
weakly singularity [25], second-order integro-differential equations of Fred-.

Bibliography - Shodhganga

methods for solving an Integro-differential equation, Computers and ... [11] R.
Bellman and R. Roth, The Laplace Transform, World Scientific Publishing ... [20]
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, .... [
56] S. B. Norkin, Differential Equations of the Second Order with Retarded
Argument,.

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. ∑.

( ) ( ) ∫ - 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;.

Solving Singular Partial Integro-Differential Equations Using ... - IJISET

Using Taylor Series. Hussam E. Hashim1 ... combined Laplace transform-
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.... n n yxf yxf. Which is the exact solution. 2.2 Second-order partial integro-
differential.

A geometric numerical integration method for solving the Volterra ...

system of Volterra integro-differential equations (IDEs). ... Finally, in order to
demon- ... method [21], differential transform method [2,3], combined Laplace ...
preserves using the GPS and when we have not the symmetry group of nonlinear
... y · y > 0 is the Euclidean norm of y. Equations (1) and (2) conclude: ˙n := (t,y) y.
−.

Mathematics for Engineers and Scientists 4 Notes for F1.8XD2

2 Solution of Differential Equations Using Laplace Transforms. 15 ... 2.2.2
Solution of second-order differential equations . .... lems involving differential
equations and integro-differential equations. .... Consider the function f(t) = tn. Its
Laplace transform is F(s) = n! sn=1 ...... Combining this with the equation of a
second plane,.

on solvability of the integrodifferential hyperbolic equation with ...

upon the data of solution to integro-differential hyperbolic equation with purely ...
The proofs are based on a priori estimates and Laplace transform ... During the
past decades, the topic of integro-differential equations which are combination of
..... (3.12). ∫ 1. 0 [[sΦ(τ)+Ψ(τ)] ∫ 1 τ (1x) sin. (√k(s)) (x − τ) dx. ] dτ. ≃. 1. 2. N. ∑.

Mathematics for Engineers and Scientists 4 Notes for F1.8XD2

2 Solution of Differential Equations Using Laplace Transforms. 15 ... 2.2.2
Solution of second-order differential equations . .... lems involving differential
equations and integro-differential equations. .... Consider the function f(t) = tn. Its
Laplace transform is F(s) = n! sn=1 ...... Combining this with the equation of a
second plane,.

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 ...

Newton-Raphson based modified Laplace Adomian decomposition ...

Numerical Laplace transform method is applied to approximate the solution of ...
Riccati differential equations mingled with Adomian decomposition method. ... A
combined Laplace Adomian ... Waleed Al-Hyani [22] solved nth order Integro-.

on solvability of the integrodifferential hyperbolic equation with ...

upon the data of solution to integro-differential hyperbolic equation with purely ...
The proofs are based on a priori estimates and Laplace transform ... During the
past decades, the topic of integro-differential equations which are combination of
..... (3.12). ∫ 1. 0 [[sΦ(τ)+Ψ(τ)] ∫ 1 τ (1x) sin. (√k(s)) (x − τ) dx. ] dτ. ≃. 1. 2. N. ∑.

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. ∑.

Numerical solution of integro-differential equations of ... - WSEAS

The nonlinear term can easily be handled with the help of Adomian polyno- mials
. The fractional ... Key–Words: integro-differential equations, Laplace transform,
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Numerical solution of integro-differential equations of ... - WSEAS

The nonlinear term can easily be handled with the help of Adomian polyno- mials
. The fractional ... Key–Words: integro-differential equations, Laplace transform,
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Modification Adomian Decomposition Method for solving Seventh ...

equations,partial differential equations, integral equations and integro-differential
equations. ... Method for solving Seventh Order Integro-Differential Equations ... n
=0 n(x)(4). Where nis the so-called Adomian polynomials, whichcan be .....
Equations Using theCombined Laplace Transform-Adomian Decomposition.

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
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... is Elzaki transform of the nth derivative of the function ( ). f t ..... In the first
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MODIFIED ADOMIAN DECOMPOSITION METHOD FOR DOUBLE ...

This paper deals with the double singular boundary value problems of second
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are just ... Nonlinear models are solved by this method to get more reliable .....
A.M. Wazwaz, The combined Laplace transform-Adomian decomposition method
for ...

( ) ( ) ∫ - 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;.

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.

PDF (References)

Combined Laplace Transform-Differential Transform method for solving linear ...
Applied for Solving Linear and Nonlinear Volterra Integral Equation with.

hebyshev Polynomial Based Numerical Inverse Laplace Transform ...

7 Jan 2016 ... Linear Volterra Integral and Integro-Differential equations are extensively used in
... 1.1 Numerical Inverse Laplace Transform The Laplace transform of function is
defined by . ..... [18] Al-Hayani, Waleed, Solving nth-Order Integro-Differential
Equations Using the Combined Laplace Transform-Adomian ...

A geometric numerical integration method for solving the Volterra ...

system of Volterra integro-differential equations (IDEs). ... Finally, in order to
demon- ... method [21], differential transform method [2,3], combined Laplace ...
preserves using the GPS and when we have not the symmetry group of nonlinear
... y · y > 0 is the Euclidean norm of y. Equations (1) and (2) conclude: ˙n := (t,y) y.
−.

A geometric numerical integration method for solving the Volterra ...

system of Volterra integro-differential equations (IDEs). ... Finally, in order to
demon- ... method [21], differential transform method [2,3], combined Laplace ...
preserves using the GPS and when we have not the symmetry group of nonlinear
... y · y > 0 is the Euclidean norm of y. Equations (1) and (2) conclude: ˙n := (t,y) y.
−.

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.

Homotopy analysis Sumudu transform method for time—fractional ...

Dispersive partial differential equation Homotopy analysis method Homotopy ....
H.: Solving nthorder integrodifferential equations using the combined laplace
...

Modification Adomian Decomposition Method for solving Seventh ...

equations,partial differential equations, integral equations and integro-differential
equations. ... Method for solving Seventh Order Integro-Differential Equations ... n
=0 n(x)(4). Where nis the so-called Adomian polynomials, whichcan be .....
Equations Using theCombined Laplace Transform-Adomian Decomposition.

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 ...

Ordinary differential equation - Wikipedia

In mathematics, an ordinary differential equation (ODE) is a differential equation
containing one ... By contrast, ODEs that lack additive solutions are nonlinear,
and solving them is far .... is called an explicit ordinary differential equation of
order n. .... non-singularity condition can be transformed into an explicit ODE
system.

Application of Laplace Decomposition Method to Integro-Differential ...

decomposition method by using He's polynomial to solve the ... Equation,
Laplace Transforms, Adomian Decomposition ... advantage of this method is its
capability of combining the ... n. (1) and the nonlinear Fredholm integro-
differential equations are given by. ,0 ... second order nonlinear partial differential
equations with.

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, nN) 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.

Solving the Integro-Differential Equations Using the Modified ...

method (LADM) is applied to solve the integro-differential equations. In addition
.... where L is the second order differential operator Lxx = ∂n. ∂xn , R is the ...
and by using the differentiation property of Laplace transform we ob- tain: s2L[u(x
,t)] ...

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 ...

solution of the system of ordinary differential equations by combined ...

is presented to solve differential equations systems. ... mapping depending on
the independent variable x , and n unknown functions. 1. 2. , , , n. f f ... the first
order (1) by using the combined Laplace transform–Adomian decomposition
method ...... method for handling nonlinear Volterra integrodifferential equations,
Applied.

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.

Solving nth-Order Integro-Differential Equations Using the ... - ispacs

Keywords: Integro-Differential Equations; Laplace Transform Method; ...
successive approximations method for solving nth-order integro-differential
equations. ... The main objective of this work is to use the combined Laplace
transform-.

Dr. Tofigh Allahviranloo: Journal Papers

(ISI); T. Allahviranloo, M. Barkhordari, "Fuzzy laplace transforms", in journal of
Soft ... T. Allahviranloo, L. Jamshidi, "Solution of fuzzy differential equations under
... "Variational iteration method for solving n-th order differential equations ", in .....
of second-order fuzzy Volterra integro-differential equations with fuzzy kernel", ...

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.

Mathematics for Engineers and Scientists 4 Notes for F1.8XD2

2 Solution of Differential Equations Using Laplace Transforms. 15 ... 2.2.2
Solution of second-order differential equations . .... lems involving differential
equations and integro-differential equations. .... Consider the function f(t) = tn. Its
Laplace transform is F(s) = n! sn=1 ...... Combining this with the equation of a
second plane,.

Mathematics for Engineers and Scientists 4 Notes for F1.8XD2

2 Solution of Differential Equations Using Laplace Transforms. 15 ... 2.2.2
Solution of second-order differential equations . .... lems involving differential
equations and integro-differential equations. .... Consider the function f(t) = tn. Its
Laplace transform is F(s) = n! sn=1 ...... Combining this with the equation of a
second plane,.

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
...

The Analytical Solution of Parabolic Volterra Integro-Differential ...

23 Sep 2016 ... integro-differential equation with memory kernel K(t) in the infinite domain [1]:. ∂
u(x, t). ∂t. + ... [10] proposed collocation methods to solve second-order ... n! ,. (3)
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.

Solving the Integro-Differential Equations Using the Modified ...

method (LADM) is applied to solve the integro-differential equations. In addition
.... where L is the second order differential operator Lxx = ∂n. ∂xn , R is the ...
and by using the differentiation property of Laplace transform we ob- tain: s2L[u(x
,t)] ...

Numerical solution of telegraph equation by using LT inversion ...

We use Stehfest's numerical inversion algorithm of Laplace transform to retrieve
.... discontinuities by He [24], nth order integro-differential equations by Golbabai
..... to achieve this, we adopted a combination of Laplace transform scheme and ...

The Combined RKM and ADM for Solving Nonlinear Weakly ...

12 Nov 2012 ... Commons Attribution License, which permits unrestricted use, ... location method
13 , the combined Laplace transform-Adomian decomposition method ... solving
weakly singular Volterra integro-differential equations. The present work is moti-
vated by the desire to obtain approximate solution to nth-order ...

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. ∑.

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 ...

LECTURE 3 Table of Contents • Inverse Laplace transformation. p ...

Solution of initial value problems. • Volterra and integro-differential equations. ....
Then, the Laplace transform of the nth order f(n)(t) is given by Theorem 7.5 .... 7.9
in combination with Theorem 7.5 can be used to solve non-homogeneous.

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 ...

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 ...

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.

Bibliography - Shodhganga

methods for solving an Integro-differential equation, Computers and ... [11] R.
Bellman and R. Roth, The Laplace Transform, World Scientific Publishing ... [20]
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, .... [
56] S. B. Norkin, Differential Equations of the Second Order with Retarded
Argument,.

Decomposition method for fractional partial differential equation ...

30 Apr 2013 ... equation (PDEs) using Laplace transformation ... we propose an efficient
combination for the solution of partial differential equations ... The idea of
derivatives of non integer order initially ... partial differential equations, fractional
integro-differential ... where g(x) is the source term, N represents the nonlinear.

COMMUNICATIONS ON ADVANCED COMPUTATIONAL SCIENCE ...

Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform-Successive Approximations Method. MH Ali Akbar Ostovar.

Numerical solution of telegraph equation by using LT inversion ...

We use Stehfest's numerical inversion algorithm of Laplace transform to retrieve
.... discontinuities by He [24], nth order integro-differential equations by Golbabai
..... to achieve this, we adopted a combination of Laplace transform scheme and ...