ordinary differential equations
Computability of ordinary differential equations
... Ordinary differential equations (ODEs) appear in many applications and are used to describe a large variety of phenomena. For that reason much effort has been directed towards solving ODEs. Although ...
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Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations
... Abstract. We demonstrate that eigenvalue problems for ordinary differential equations can be recast in a formulation suitable for the solution by polynomial collocation. It is shown that the ...
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Polynomial time corresponds to solutions of polynomial ordinary differential equations of polynomial length
... solves ordinary differential equations before defining an element of DAnalog and N Analog (the counterparts of P and NP introduced in their paper), while in our case we do not need the multiple ...
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Comparative numerical solutions of stiff Ordinary differential equations using magnus series expansion method
... and MG6 is very effective for stiff ordinary differential equations with different stiffness ratios. An important advantage of Magnus Series Expansion is that the Magnus Series is truncated but it ...
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Effective computability of solutions of ordinary differential equations: the thousand monkeys approach
... for ordinary differential equations with continuous right-hand side, if the solution is assumed ...a differential equation defined by a locally Lipschitz function is computable even if the ...
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On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
... of ordinary and partial differential ...of differential equations have been in used since the days of ...of ordinary differential equations refers, at least to the time of ...
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Exponential dichotomy and expansivity
... In this work we show if a linear nonautonomous system of ordinary differential equations satisfies a bounded growth condition, then it is exponentially expansive (a slightly stronger con[r] ...
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On Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS Disease
... There has been considerable interest in disease of Human Immunodeficiency Virus (HIV) infection pandemic and so it receives (Bachar and Dorfmayr, 2004; McCluskey, 2003; Elaiw, 2010; Hethcote et al., 1989; Hsieh and ...
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Computational bounds on polynomial differential equations
... We consider elementary (in the sense of Analysis) discrete-time dynam- ical systems satisfying certain criteria of robustness. We show that those systems can be simulated with elementary and robust continuous-time ...
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Lat. Am. j. solids struct. vol.8 número2
... partial- differential equations in space and ...partial-differential equations and associated boundary ...partial-differential equations are discretized into a set of non-linear ...
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Comput. Appl. Math. vol.30 número3
... method. Gao and Chi [22] solved Eq. (1) by a semi-discretization method. They transformed Eq. (1) into a system consisting of ordinary differential equations with respect to time t and then found an ...
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Solving analytic differential equations in polynomial time over unbounded domains
... Abstract. In this paper we consider the computational complexity of solving initial-value problems defined with analytic ordinary differential equations (ODEs) over unbounded domains of R n and C n , ...
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Unsteady Similarity Solution of Free convective boundary layer flow over porous plate with variable properties considering viscous dissipation and Slip Effect
... non-linear ordinary differential equations (7) to (8) with boundary conditions (9) and (10) of the unsteady boundary layer free convection flow over porous plate and slip ...
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Nth-order Fuzzy Differential Equations Under Generalized Differentiability
... fuzzy differential equations was discussed by applying Nth-order generalized Hukuhara differ- entiability, which, we have been used such definition for our ...fuzzy differential equations in ...
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Computability with polynomial differential equations
... polynomial differential equations, namely the notion of differentially algebraic functions, that we then restrict to the case ...of ordinary differential equations that are not written ...
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Differential equations for families of semi- classical orthogonal polynomials within class one
... order ordinary differential equations (with respect to certain parameters) for the recurrence coefficients of the three-term recurrence relation of these polynomials and show that in particular ...
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Approximations of the nonlinear Painlevand#233; transcendents
... In this communication, we apply the new homotopy perturbation method (NHPM) to solve the first and second Painlev´e transcendent. The NHPM for solving differential equations based on two component procedure ...
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Meshless methods in electromagnetic wave scattering
... to differential equations defined in a certain geometrical domain without the need of setting up a mesh or a grid in this ...(the differential equation is converted into an integral expression ...
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Thand Pad Pinelas parte 001
... OSCILLATION RESULTS FOR ODD-ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE.. PINELAS c.[r] ...
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Reduced Differential Transform Method for Solving Klein Gordon Equations
... The structure of this paper is organized as follows. In section 2, we begin with some basic definitions and the use of the proposed method. In section 3, we apply the reduced differential transform method to solve ...
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