Numerical Solution of Partial Differential Equations
RBFs Meshless Method of Lines for the Numerical Solution of Time Dependent Nonlinear Coupled Partial Differential Equations
... the solution of time dependent partial differen- tial equations ...approximate numerical solution to the ...established, numerical methods for ...the numerical ...
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Wavelet based Galerkin Method for the Numerical Solution of One Dimensional Partial Differential Equations
... for numerical solution of one dimensional partial differential equations using Hermite ...the numerical solutions of the partial differential ...the ...
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Numerical solution methods for fractional partial differential equations
... The numerical solution of fractional partial differential equations has been developed in several ways by using the Finite Difference method (Chen, Liu & Burrage 2008, Murio 2008, ...
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Unequally spaced knot techniques for the numerical solution of partial differential equations
... the solution of differential equations f(x) is only known implicitly and hence in this thesis we endeavour to obtain an optimum knot distribution which we believe to be a general improvement on ...
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Stability of numerical solution for partial differential equations with piecewise constant arguments
... differential equations with piecewise constant arguments (EPCA) have received much attention from a number of investigators [1–5] in such various fields as population dynamics, physics, mechanical systems, control ...
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Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... based on Laguerre polynomial series expansion of the inverse function under the assump- tion that the Laplace transform is known on the real axis only. The main contribution of the paper is to provide computable ...
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Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
... nominator have no common factors. In the LD-PA method we use the method of Pade approximation as an after- treatment method to the solution obtained by the Laplace decomposition method. This after-treatment method ...
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On the use of splines in the numerical solution of hyperbolic partial differential equations
... (3.1.1). Both schemes are three time level and require the evalua tion of a tri-diagonal system of equations. It is therefore accept able to assume that the computing times for both schemes will be very ...
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Non polynomial quintic spline for numerical solution of fourth order time fractional partial differential equations
... Rashidinia and Mohsenyzadeh [20] used non-polynomial quintic spline technique for one-dimensional heat and wave equations. Recently, in [21], fifth degree spline approx- imation technique has been utilized for ...
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The numerical solution of boundary value problems in partial differential equations
... ordinary differential equations, is asymptotically stable (in the Liapunov sense) if and only if 1° is bounded as n -* «, and the matrix U is positive seoi-definite; and that the aero vector, £ , is a ...
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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... ordinary differential equations, Partial differential equations, Linear Ordinary Differential Equations of Higher Order and integral ...the differential transform ...
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A Meshless Method for Numerical Solution of Fractional Differential Equations
... methods have been used to solve fractional differential equations. There are some further method, such as operational method,the Adomian decomposition method(ADM)[6], the homotopy perturbation ...
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Haar Wavelet Matrices Designation in Numerical Solution of Ordinary Differential Equations
... Wavelet transform or wavelet analysis is a recently developed mathematical tool for signal analysis. To date, wavelets have been applied in numerous disciplines such as image compression, data compression, denoising data ...
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A fast numerical method for fractional partial differential equations
... the numerical solution of partial differential equations [28, ...of equations. However, for linear equations, the spectral methods are highly recommended because of the simplicity ...
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Numerical Methods for the Solution of Partial Differential Equations
... the equations is particularly important when deal- ing with problems admitting shocks or other discontinuities in the solution, ...the equations are not written in a conservative form, might give a ...
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An Introduction to Numerical Methods for the Solutions of Partial Differential Equations
... of partial differential equations which has been collected from a large number of research articles published in re- puted journals and literature available in the books with the intension to provide ...
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A numerical method for partial fractional Fredholm integro-differential equations
... a solution to be deter- ...the differential and integral parts of a PFFIDE by their operational matrix representations and then convert it to a corresponding system of linear algebraic ...algebraic ...
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The numerical solution of partial differential algebraic equations
... differential equations or DAEs which are not considered ...the numerical solution of PDAEs [, ]. Some numerical methods have been developed using Runge-Kutta methods [, ...the ...
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Numerical solution of Volterra partial integro differential equations based on sinc collocation method
... Modeling phenomena in viscoelasticity, biological models, chemical kinetics, heat con- duction in materials with memory, population dynamics, fluid dynamics and nuclear re- actor dynamics, mathematical biology, financial ...
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The Numerical Solution of Partial Differential-Algebraic Equations (PDAEs) By Multivariate Pade Approximation
... (2) where w( x , y ) is the original function and W (k, h) is the transformed function. The transfor- mation is called T - function and lower case and upper case letters represent the original and transformed functions ...
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