Initial Value Problem (ivp)
A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)
... developed. Initial Value Problem (IVP) and Boundary Value Problem (BVP) are two parts of differential equations, depending on the conditions indicated at the end points of the ...
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Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation
... inverse initial value problem of the biparabolic equation; this problem is ill-posed and the regularization methods are needed to stabilize the numerical ...
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Initial value problem for second order random fuzzy differential equations
... fuzzy initial value problem ...important problem is described by fuzzy random differential ...of initial value problems is well known due to their relevance in estab- lishing the ...
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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 ...
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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 ...
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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
... an initial value problem to an integral equation by using Leibnitz ...the initial conditions should be given, and this may be clearly seen as a result of involving 𝑢(𝑥) and its ...The ...
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Positive solutions for discrete fractional initial value problem
... linear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement ...
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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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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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Singular Cauchy Initial Value Problem for Certain Classes of Integro Differential Equations
... Cauchy problem for first-order differential and integro-differential equations resolved or unresolved with respect to the derivatives of unknowns is fairly well studied see, ...
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Solving initial value problem using Runge Kutta 6th order method
... Ordinary differential equations arise frequently in several models of mathematical physics, biological sciences, engineering and applied mathematics. Unfortunately many cannot be solved exactly. This is why numerical ...
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Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations
... equation,fuzzy laplae transform, fuzzy initial value problem.. ||||||||||||||||||||||||||||||||{.[r] ...
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Initial Boundary Value Problem for a Generalized Zakharov Equations
... Cauchy problem for the Zakharov system is shown to be locally well-posed for low regularity Schr¨odinger data and wave data under certain assumptions on the parameters ...the initial value ...
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Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary
... Riemann initial-boundary value problem ...Riemann initial value problem are ...Riemann initial value problem, we construct the weak entropy solutions of ...
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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] ...
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On Initial Value and Boundary Value Problem of Linear Differential Algebra System
... The problem of solving the initial value problem of linear differential algebra system and the analytical solution of two-point boundary value problem is ...the initial ...
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On a generalization of the Dirichlet problem for the Poisson equation
... In this paper, we investigate a generalization of the Dirichlet problem for the Poisson equation in a rectangular domain. We assume that the kth-order normal derivatives of an unknown function are given on lower ...
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Initial boundary value problem with a nonlocal condition for a viscosity equation
... This paper deals with the proof of the existence, uniqueness, and continuous dependence of a strong solution upon the data, for an initial-boundary value problem which combine Neumann and integral ...
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Nonhomogeneous initial and boundary value problem for the Caputo type fractional wave equation
... This paper is organized as follows. In Sect. 2, definitions and properties of Mittag-Leffler functions and fractional integrals and derivatives are presented. In Sect. 3, we consider the fractional wave equation (1) and ...
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Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
... mainly establish the global existence of weak solutions to the problem (1.2). Firstly we write the problem in a weak version. Secondly we construct approximate solutions by the Galerkin method. Finally we ...
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