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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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 ...
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.
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 ...
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-.
COMMUNICATIONS ON ADVANCED COMPUTATIONAL SCIENCE ...
Solving nth-Order Integro-Differential Equations Using the Combined Laplace
Transform-Successive Approximations Method. MH Ali Akbar Ostovar.
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.
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.
... is Elzaki transform of the nth derivative of the function ( ). f t ..... In the first
example, consider the following nonlinear first-order differential.
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. ∑.
Solving nth-Order Integro-Differential Equations Using the ...
3 Jun 2013 ... Solving nth-Order Integro-Differential Equations Using the ... In this paper, the
Combined Laplace Transform-Adomian Decomposition Method is used to ...
Keywords: Integro-Differential Equations; Laplace Transform Method; ...
Modified Homotopy Perturbation Method for Solving Linear ... - PMF-a
In this work, we combined Sumudu transform with improved homotopy ... integro-
differential equation of second order with constant coefficients ... to be able to
solve this type of fractional integro-differential equations with kernel. N. ∑ ..... [3]
A. M. Wazwaz, The combined Laplace transform-Adomian decomposition
method for ...
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-.
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.
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 ...
Solving Partial Integro-Differential Equations Using Double Laplace ...
1 May 2015 ... We find in the literature, partial integro-differential equations are used in
modelling ... Solving this ODE & applying inverse Laplace transform they ... Jafar
Saberi-Nadjafi [6] proposed some new result in n-dimensional Laplace
transforms involved with Fourier ... This is first order linear differential equation in
.
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 ...
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. ∑.
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.
The combined Laplace transform-Adomian decomposition method ...
1 Apr 2010 ... In this work, a combined form of the Laplace transform method with the ...
equations, Applied Mathematics and Computation, v.127 n.2-3, ... solutions of
high-order Fredholm integro-differential equations, ... M.-C. Casabán , J.-C.
Cortés , L. Jódar, A random Laplace transform method for solving random ...
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.
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 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 ...
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)] ...
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 ...
SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY ...
8 Mar 2016 ... topy analysis transform method (HATM) which is a combination of HAM and
Laplace de- ... homotopy perturbation method for solving integro-differential
equations. ... of the homotopy analysis method HAM and Laplace transform
method [21 ... equations with the help of homotopy analysis transform method.
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.
... is Elzaki transform of the nth derivative of the function ( ). f t ..... In the first
example, consider the following nonlinear first-order differential.
SOLVING FRACTIONAL INTEGRO DIFFERENTIAL EQUATIONS BY ...
8 Mar 2016 ... topy analysis transform method (HATM) which is a combination of HAM and
Laplace de- ... homotopy perturbation method for solving integro-differential
equations. ... of the homotopy analysis method HAM and Laplace transform
method [21 ... equations with the help of homotopy analysis transform method.
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.
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.
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.
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.
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.
Solving nth-Order Integro-Differential Equations Using the ...
3 Jun 2013 ... Solving nth-Order Integro-Differential Equations Using the ... In this paper, the
Combined Laplace Transform-Adomian Decomposition Method is used to ...
Keywords: Integro-Differential Equations; Laplace Transform Method; ...
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", ...
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 ...
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 ...
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.
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.
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)] ...
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 integro–differential equations,
Applied.
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", ...
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 ...
22 Jun 2017 ... Solving nth -Order Integro-Differential Equations Using the Combined Laplace
Transform-Adomian Decomposition Method. Article · January ...
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,.