Initial Value Problems (IVP)
A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods
... In this paper, Euler method and Runge Kutta method are used for solving ordinary differential equation (ODE) in initial value problems (IVP). Finding more accurate results needs the step size ...
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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 ...
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A Spectral Method in Time for Initial Value Problems
... of initial value partial differential equations is ...stability problems within ideal and resistive magnetohydrodynamics (MHD) are ...advanced initial value problems in fluid ...
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On the solvability of initial value problems for nonlinear implicit difference equations
... Our aim is twofold. First, we propose a natural definition of index for linear nonau- tonomous implicit difference equations, which is similar to that of linear differential- algebraic equations. Then we extend this index ...
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I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)
... Abstract—In this paper, a family of high order Obreshkov hybrid formulas are proposed for the numerical solution of first order initial value problems (IVPs) in ordinary differ- ential equations ...
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Time Spectral Solution of Initial Value Problems—Subdomain Approach
... of initial-value ...of problems with several time scales, where one is primarily interested in the long time scale ...for problems of sta- bility, fluctuations and confinement in fusion plasma ...
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A MODIFICATION OF ARTIFICIAL BEE COLONY ALGORITHM FOR SOLVING INITIAL VALUE PROBLEMS
... In this work, we structure a Feedforward Neural Network (FNN)in order to get the solution of Initial Value Problems (IVPs). The output of the network depends on the trial function, which satisfies ...
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Optimizing Time Spectral Solution of Initial Value Problems
... the problems to be solved typically are causal, the method is acausal in the sense that the time dependence is calculated by a global mini- mization procedure (the weighted residual formalism) acting on the time ...
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Initial value problems for system of differential algebraic equations in Maple
... an IVP with homogeneous initial conditions, however we also discuss an algorithm to check the con- sistency of the non-homogeneous initial ...
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On the Solutions of First and Second Order Nonlinear Initial Value Problems
... However, in the work of [10], it is introduced in a general form and requires the inverse Laplace transforms of some functions in main results of [10]. Motivated by the above- mentioned work, in this work, a new method ...
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Stability and boundedness in the numerical solution of initial value problems
... The natural question thus arises of whether, just for problems of type (1.4), more simple and less restrictive conditions on γ exist such that (1.12), (1.9) imply the boundedness property (1.11). An analogous ...
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Basic theory of initial value problems of conformable fractional differential equations
... cal initial value problem by means of some fixed point theorems and by the use of the conformable fractional calculus, and further discuss the stabilities of solutions; and then we investigate the existence ...
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On the uniqueness of singular solutions to boundary initial value problems in linear elastodynamics
... Working within the framework of the linearized dynamical theory of thermoelasticity, Dafermos [9 J established the existence, uniqueness and asymptotic stability of "generalized solution[r] ...
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Shooting Methods for Two Point Boundary Value Problems of Discrete Control Systems
... boundary value problems (TPBVP) are an important class of problems which appear frequently in optimal ...of initial value problems (IVP) will be shot to get the solution ...
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Partial differential equations with piecewise constant delay
... In Section 2, the initial value problems IVP are discussed for differential equations with piecewise constant argument EPCA in partial derivatives.. A class of loaded partial differentia[r] ...
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A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)
... the Initial Value Problems (IVP) involving third order Ordinary Differential Equations ...engineering problems based on such ...
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A Comparative Study on Numerical Solutions of [IVP] for[ODE] with Cubic Spline Interpolation and Modified Euler Method
... Abstract: This paper mainly presents,Cubic Spline interpolation and Modified Euler method for solving initial value problems [IVP] for ordinary differential equations [ODE]. The two proposed ...
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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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Green’s function homotopy perturbation method for the initial boundary value problems
... It has been known for a long time that Green’s function method is a powerful classical one for analytical manipulation of solution of boundary value problems. Furthermore, the homotopy perturbation method ...
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On singular nonlinear distributional and impulsive initial and boundary value problems
... similar problems are studied in ordered Banach spaces, ...verting problems into systems of integral equations, integrals in these systems being Bochner-Lebesgue or Henstock-Kurzweil ...considered ...
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