[PDF] Top 20 Stability of numerical solution for partial differential equations with piecewise constant arguments
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Stability of numerical solution for partial differential equations with piecewise constant arguments
... In Tables 1–4 we list the absolute errors AE(1/m, 1/p), AE(1/4m, 1/2p) and AE(1/2m, 1/2p) at x = 1/2, t = 1 of the θ -methods for (31) and (32), the ratio of AE(1/m, 1/p) over AE(1/4m, 1/2p) in Tables 1, 3 and the ratio ... See full document
13
Numerical solution methods for fractional partial differential equations
... explicit numerical methods (Yuste & Acedo 2005, Shen & Liu 2005, Liu, Zhuang, Anh, Turner & Burrage 2007, Chen, Liu, Anh & Turner 2012, Liu, Dong, Lewis & He 2015) and implicit numerical ... See full document
464
The numerical solution of boundary value problems in partial differential equations
... the differential equation and the boundary conditions coaoinedj ...the stability of sone difference approximations to a simple equation of type (b) will be ...for equations of the type (a) ... See full document
157
Unequally spaced knot techniques for the numerical solution of partial differential equations
... These results show that for all the 0 values used the solutions produced using the local and global knot partitions always have smaller errors than when uniformly spaced knots are employed. However, the above reasoning ... See full document
190
On the method of finding periodic solutions of second-order neutral differential equations with piecewise constant arguments
... delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f (t), w here [■] denotes the greatest integ er function, p and q are ... See full document
17
On a class of third order neutral delay differential equations with piecewise constant argument
... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document
5
A parabolic differential equation with unbounded piecewise constant delay
... Integral transforms were successfully used to find the solutions of initial value problems for linear partial differential equations with piecewise constant delay.. It has been shown in [r] ... See full document
8
8. Convergence in an impulsive advanced differential equations with piecewise constant argument
... functional differential equations ([5],[7],[8],[10],[12],[14]-[19]) and as well the same problem has been considered for some impulsive delay differential equations ...impulsive ... See full document
14
BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS
... of differential equations with piecewise constant arguments of various types as retarded, advanced and mixed types have been investigated, intensively in [1],[2],[4],[5],[11] (see also ... See full document
8
On the method of finding periodic solutions of second order neutral differential equations with piecewise constant arguments
... differential equations. Such equations have diversified applica- tion in the field of biology, neural networks, physics, chemistry, engineering, and so on ...these equations have combined properties of ... See full document
17
On the use of splines in the numerical solution of hyperbolic partial differential equations
... have constant step lengths in both the time and space ...solving partial differential ...a constant step length on the solid side of the boundary and a different constant step length on ... See full document
125
Numerical solution of fractional partial differential equations by numerical Laplace inversion technique
... differential equations are found to be an effective tool to describe certain phys- ical phenomena such as damping laws, rheology, diffusion processes, and so ...differential equations. Lin and Xu [] pro- posed ... See full document
18
On approximation of the solutions of delay differential equations by using piecewise constant arguments
... ON APPROXIMATION OF THE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS BY USING PIECEWlSE CONSTANT ARGUMENTS ISTVAN.. Department of Mathematics, The University of Rhode Island Kingston, Rhode[r] ... See full document
16
Numerical stability and oscillation of the Runge Kutta methods for the differential equations with piecewise continuous arguments alternately of retarded and advanced type
... analytic stability region is contained in the numerical stability region and the conditions under which the numerical solution and the analytic solution are oscillatory ...the ... See full document
13
Preservation of stability and oscillation of Euler Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type
... ical solution of EPCA has become a hot issue recently. Numerical stability of many kinds of EPCA was addressed in ...[–]. Numerical oscillation of θ -methods and Runge-Kutta methods for ... See full document
17
Ergodic type solutions of differential equations with piecewise constant arguments
... Introduction. Equations with piecewise continuous arguments (EPCA) arise in an attempt to extend the theory of functional differential equations with continuous arguments to differential ... See full document
11
A survey of partial differential equations with piecewise continuous arguments
... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document
20
Oscillation of Runge Kutta methods for advanced impulsive differential equations with piecewise constant arguments
... exact solution is preserved by the θ ...the piecewise linear interpolation functions of the numerical solution converge to the zeros of the exact solution with the order of accuracy ... See full document
13
Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method
... The VIM has been favorably applied to various kinds of linear and nonlinear problems. The main property of the method is in flexibility and ability to solve linear and nonlinear equations accurately and ... See full document
6
Periodic Solution For Nonlinear System Of Differential Equations Depending On The Probability Density Function Of Gamma Distribution
... Periodic solution of non-linear system of differential equations depending on the Gamma distribution, Iraq,J of university of Zahok, ...Periodic Solution for nonlinear system of ... See full document
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