Initial Value
The quasi-boundary value regularization method for identifying the initial value with discrete random noise
... or initial data, or boundary data, or source term may not be known, we need to find them using some additional measurement data, which will lead to the inverse problem of the fractional diffusion equation, such as ...
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Positive solutions for discrete fractional initial value problem
... Proof. From Theorem 3.2, if the condition in Theorem 4.2 holds, it follows that the initial value problem (1.8) has at least one positive solution in S. Hence, we need only to prove that the operator A ...
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On the solvability of initial value problems for nonlinear implicit difference equations
... Recently [1, 3], a notion of index 1 linear implicit difference equations (LIDEs) has been introduced and the solvability of initial-value problems (IVPs), as well as multipoint boundary-value ...
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Optimizing Time Spectral Solution of Initial Value Problems
... Three initial-value PDEs are employed as model problems; the 1D Burger equation, a forced 1D wave equation and a coupled system of 14 linea- rized ideal magnetohydrodynamic (MHD) ...
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Initial Value Filtering Optimizes Fast Global K Means
... of initial cluster center is optimized by neighborhood ...the initial clustering center, the points within the min- imum radius of the existing clustering center do not participate in the selection of the ...
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Time Spectral Solution of Initial Value Problems—Subdomain Approach
... Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value prob- lems. The spectral method, called the generalised weighted residual method (GWRM), is a ...
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8 - Finding Initial Value.pdf
... 1. For each of the following, determine the type of variation, rate of change, initial value, and equation. Determine the initial value of each of the following and state whether it is a[r] ...
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Solving Initial Value Problems by Flower Pollination Algorithm
... consider Initial Value Problems (IVPs) in ordinary differential equations (ODEs) as an optimization problem, solved by using a meta-heuristic algorithm which is considered as an alternative way to find ...
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A note on the initial value problem of fractional evolution equations
... In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional spaces. The ...
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Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... It was stated in Chapter 1 that Volterra integral equations arise in many scientific applications such as the population dynamics, spread of epidemics, and semi-conductor devices. It was also shown that Volterra integral ...
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A Spectral Method in Time for Initial Value Problems
... A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domains in ...
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Second-order initial value problems with singularities
... The solvability of various IVPs has been studied also by Bobisud and O’Regan [], Bobisud and Lee [], Cabada and Heikkilä [], Cabada et al. [, ], Cid [], Maagli and Masmoudi [], and Zhao []. Existence results ...
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On the Solutions of First and Second Order Nonlinear Initial Value Problems
... nonlinear initial value prob- lems (IVPs) is a goal for mathematicians, engineers, and scientists, and it plays an important role in real world ap- ...
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Initial value problem for fractional evolution equations
... This article is concerned with the existence of mild solutions to the initial value problem for a class of semilinear evolution equations with fractional order. New existence theorems are obtained by means ...
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On Initial Value and Boundary Value Problem of Linear Differential Algebra System
... the initial value problem of linear differential algebra system and the analytical solution of two-point boundary value problem is ...the initial value problem and the analytical ...
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A characteristic initial value problem for a strictly hyperbolic system
... for hyperbolic equations comparable to the ones for traditional elliptic equations. In addition, the boundary conditions in these problems imply u(1,1) = 0. On the physical grounds, this means the string which was in ...
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Stability and boundedness in the numerical solution of initial value problems
... The above Statement (I) will be proved in Section 4. Statement (II) follows immediately from Statement (I) and the close connection between condition (1.7) and conditions (1.12), (1.9). This connection was observed by ...
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Initial value problems for system of differential algebraic equations in Maple
... There are several implemented methods available in various mathematical softwares tools like Matlab, Mathe- matica, SCIlab etc. All these implementations are applied to find the general solution of a given system DAEs ...
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On the initial value problem for a partial differential equation with operator coefficients
... Singular Integral Operators and Cauchy’s Problem for Some Partial Differential Equations With Operator Coefficients, Transaction of the Science Centre, Alexandria University Vol.. Lnear [r] ...
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On singular nonlinear distributional and impulsive initial and boundary value problems
... Recently, similar problems are studied in ordered Banach spaces, e.g., in [1-4], by con- verting problems into systems of integral equations, integrals in these systems being Bochner-Lebesgue or Henstock-Kurzweil ...
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