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A note on integral transforms and partial differential equations
Laplace transform Sumudu transform convolution
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2010/9/20
In this study, we apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and poisson’s equations were solved by dou...
Fourth order positively smoothed Pade schemes for parabolic partial differential equations with nonlocal boundary conditions
Fourth order positively smoothed Pade schemes parabolic partial differential equations
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2010/9/26
Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process...
Some oscillation theorems for systems of partial differential equations with deviating arguments and a note on impulsive hyperbolic equation
Oscillation Delay Hyperbolic equation Impulses
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2010/9/13
In this paper, we give some results of the oscillations criteria of the solution for some higher - order equations with deviating arguments , and note of the impulsive hyperbolic equations.We get some...
Application of variational iteration method to linear partial differential equations
dispersive PDEs variational iteration method
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2010/9/17
The variational iteration method (VIM) is applied to the numerical simulation of linear third-order dispersive partial differential equations (PDEs). The VIM produces an approximate solution of the eq...
Inequalities Applicable To Certain Partial Differential Equations
Explicit bounds retarded integral inequalities two independent variables non-self-adjoint Hyperbolic partial differential equations partial derivatives
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2008/7/1
In this paper explicit bounds on certain retarded integral inequalities involving functions of two independent variables are established. Some applications are also given to illustrate the usefulness ...
Numerical method for fuzzy partial differential equations
fuzzy partial differential equation difference method
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2010/9/15
In this paper a numerical method for solving ”fuzzy partial differential equation” (FPDE) is considered. We present difference method to solve the FPDEs such as fuzzy hyperbolic equation and fuzzy pa...
Monte Carlo method for finding the solution of Dirichlet partial differential equations
Markov Chain Monte Carlo Dirichlet
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2010/9/15
In this paper we present a new Monte Carlo algorithm for finding the solution of Dirichlet partial differential equations (DPDE). Here, we show the solution of a given DPDE, can be found by a new effi...
Spectral collocation method for parabolic partial differential equations with Neumann boundary conditions
Pseudospectral method parabolic PDEs
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2010/9/15
In this paper, we present a new method for solving of the parabolic partial differential equation (PPDEs) with Neumann boundary conditions by using the collocation formula for calculating spectral dif...