initial value problems (IVPs)
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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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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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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Approximate solutions of general second–order initial value problems using differential evolution
... secondorder initial value ...firstorder initial value problem was computed via the combination of collocation method (finite elements) and genetic algo- rithms by the author in ...secondorder ...
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Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
... the initial value problems of fractional evolution equations are proved under some appropriate conditions by using a fantastic property of the Mittag–Leffler ...the initial value ...
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Impulsive initial value problems for a class of implicit fractional differential equations
... impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative of order β ∈ (1, ...
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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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Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities
... In this paper, the standard homotopy analysis method was applied to initial value problems of the second order with some types of discontinuities, for both linear and nonlinear cases. To show the ...
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Existence uniqueness of solutions for fuzzy nabla initial value problems on time scales
... This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish ...
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Picard iterative processes for initial value problems of singular fractional differential equations
... the initial value problems of singular fractional differential equations are ...the problems, but we also establish iterative schemes for uniformly approximating the ...
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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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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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Series Solutions Of Fractional Initial-Value Problems By Q-Homotopy Analysis Method
... nonlinear problems in science and engineering [1-3, 7, 11-13, 21, 40, 43, 45, 46, 49, ...numerous problems in science and engineering [15, 16, ...fractional initial- value problems ...
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A nonlinear computational method for the solution of initial value problems for ordinary differential equations
... It is a documented fact that mathematical formulation of physical phenomena in many diverse fields such as electrical engineering, control theory, medicine and even in biology often leads to initial value ...
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A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... Abstract. In this article, we developed a new numerical approach which is mainly concentrates to solve some complicated initial value problems of ordinary differential equations. The complete ...
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The convergence estimates for Galerkin wavelet solution of periodic pseudodifferential initial value problems
... Using the discrete Fourier transform and Galerkin-Petrov scheme, we get some results on the solutions and the convergence estimates for periodic pseudodifferential initial value problems.[r] ...
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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- ...
5
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 ...
15
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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