Singular ordinary differential equations
Optimal interpolation grids for accurate numerical solutions of singular ordinary differential equations
... a differential equation g 00 (x) = f (x) and a fixed number of interpolation grid points, an optimization problem is formulated to minimize the difference between f (x) and its interpo- lating function, thus ...
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A family of singular ordinary differential equations of the third order with an integral boundary condition
... We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral ...
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Terminal value problem for singular ordinary differential equations: Theoretical analysis and numerical simulations of ground states
... A singular boundary value problem (BVP) for a second-order nonlinear differential equa- tion is studied. This BVP is a model in hydrodynamics as well as in nonlinear field theory and especially in the study of the ...
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Singular boundary value problems for quasi differential equations
... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ...
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Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
... In the paper, modified Laplace decomposition method (MLDM) is ap- plied to linear and nonlinear differential equation with initial conditions. The MLDM proposed in this investigation is simple and effective for ...
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Systems of singular differential equations with pulse action
... ential equations with a singular ...so-called singular or differential-algebraic systems of ordinary differential equations, are studied in many works; in addition to other contributions, ...
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Modified Weibull Distribution: Ordinary Differential Equations
... Ordinary differential equations (ODEs) has been obtained for the probability density function (PDF), Quantile function (QF), survival function (SF), inverse survival function (ISF), hazard function ...
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Laplace Distribution: Ordinary Differential Equations
... Ordinary differential equations (ODEs) have been obtained for the probability functions of Laplace ...This differential calculus and efficient algebraic simplifications were used to derive the ...
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The distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations
... We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x + λq(t)x = 0 on an infinite interval [a, + ∞ ). Similar to the regular eigenvalue problem on compact ...
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A. System of linear ordinary differential equations of first
... linear ordinary differential equations with boundary ...these equations permits to relate both ends in the domain where boundary conditions are ...
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Solving Ordinary Differential Equations with Evolutionary Algorithms
... In this paper, we have been able to formulate the general linear second order ODE as an optimization problem, and we have also been able to solve the formulated optimization problem using the Differential ...
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Some problems in irregular ordinary differential equations
... prove that if there exists a regular Lagrangian flow solution of 1.1 then there is a vector field equivalent to 9 such that the ordinary differential equation ~ = 9 ~, t has non-unique s[r] ...
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A Survey on Oscillation of Impulsive Ordinary Differential Equations
... This paper summarizes a series of results on the oscillation of impulsive ordinary differential equations. We consider linear, half-linear, super-half-linear, and nonlinear equations. Several ...
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A review on singular perturbed delay differential equations
... In 2012, Kumar [31] treated singularly perturbed delay differential equation of second order using B-spline collocation method.In this article the author has selected piecewise uniform mesh known as shishkin mesh ...
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First-Order Singular and Discontinuous Differential Equations
... hand, singular differential equations have been receiving a lot of attention in the last years, and we can quote 7, ...and singular nonlinearities which generalizes in some aspects some of the ...
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On the Cauchy problem for singular functional differential equations
... We do not impose any restrictions on the growth or the sign of the singular coefficient. Our constants in the solvability conditions are the best ones in the considered classes of functional operators. These best ...
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Fast methods for the solution of singular integro differential and differential equations
... Chebyshev expansion sets are developed for the numerical solution of linear integrodifferential equations of the first order.. These methods take a total solution.[r] ...
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Three Dimensional Analysis of Laminated Cylindrical Panels with Piezoelectric Layers
... partial differential equations (PDE's) of equilibrium to ordinary differential equations (ODE's) with variable coefficients by means of trigonometric function expansion in longitudinal ...
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An Approach to Parallel Simulation of Ordinary Differential Equations
... Cyber-physical systems (CPS) represent a class of complex engineered systems where functionali- ty and behavior emerge through the interaction between the computational and physical domains. Simulation provides design ...
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A Numerical Method For Solving Physiology Problems By Shifted Chebyshev Operational Matrix
... [25] X. Shang, Y. Yuan, Homotopy perturbation method based on Green function for solv- ing non-linear singular boundary value prob- lems, International Conference on Machine Learning and Cybernetics 10 (2011) ...
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