Numerical methods for ordinary differential equations
Numerical Methods for Ordinary Differential Equations Systems with Small Parameter with Applications in Kinetics Chemistry
... of differential equations systems with small ...a differential equation with small parameters really ...of differential equations with small parameter for chemical ...to ordinary ...
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Numerical Solution of Linear Ordinary Differential Equations of Higher Order by Differential Transformation Method
... of methods, exact, approximate and purely numerical are available for the solution of differential ...these methods are computationally intensive because they are trial-and error in nature, or ...
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Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ...
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Error Estimation of Numerical Solvers for Linear Ordinary Differential Equations
... Linear Ordinary Differential Equations (ODEs) plays an important role in many ...various numerical methods and solvers to obtain approximate ...
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Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions
... for ordinary differential equations side by side with numerical methods, it is often used an appropriate technique based upon some types of successive approximations con- structed in ...
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A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs
... the numerical computation of system of ordinary differential equations of first order with initial value problems and all steps of parallel algorithms of ...R.K. methods are tested in ...
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Online Full Text
... comparing numerical methods that have been designed to solve stiff systems of ordinary differential equations; the technique was applied to five methods of which three turn out ...
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An Iterative Method for Solving Two Special Cases of Lane Emden Type Equation
... Many numerical methods were developed for this type of nonlinear ordinary differential equations, specifi- cally on Lane-Emden type equations such as the Adomian Decomposition ...
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A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... of differential equations can be solved ...for differential equation there exist different ...of differential equations are unable to determine the solution in closed form using ...
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Stochastic ordinary differential equations in applied and computational mathematics
... stochastic ordinary differential equations (SDEs) from the perspective of applied and computational ...of numerical methods to simulate trajectories of an SDE and explain how both weak ...
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Numerical Solution of First Order Ordinary Differential Equations
... presenting numerical solutions of first order differential equations arising in various applications of science and engineering using some classical numerical ...contain differential ...
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Online Full Text
... hybrid methods are developed. Based on these methods, phase fitted and amplification fitted methods are constructed by vanishing both the phase-lag and the dissipation ...fitted methods, ...
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Accumulation of global error in Lie group methods for linear ordinary differential equations
... group methods for computing numerical solutions of linear ordinary differential ...linear differential equa- tions, the corresponding Lie algebra can be used for quantitative error ...
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Asymptotic Methods of ODEs: »
... symbolic methods of asymptotic approximations for solutions of linear ordinary differential equations and use them to stabilize numerical ...scalar equations where growth ...
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Computable error bounds for collocation methods
... This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideratio[r] ...
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On a class of Hermite-Obrechkoff one-step methods with continuous spline extension
... (HO) methods [3, ...HO methods without adding ...Multiderivative methods have been considered often in the past for the numerical treatment of ordinary differential ...
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Haar Wavelet Matrices Designation in Numerical Solution of Ordinary Differential Equations
... in numerical analysis. In this paper, we apply Haar wavelet methods to solve ordinary differential equations with initial or boundary condition ...of differential and integrate ...
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A new numerical integrator for the solution of stiff first order ordinary differential equations
... conventional numerical solver cannot efficiently cope with stiff problems because they lack the stability characteristics ...the methods proposed for the solution of stiff problems are numerically unstable ...
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Numerical methods for simulation of stochastic differential equations
... differential equations (SDEs) play a significant role in many departments of science and industry because of their application for modeling stochas- tic phenomena, ...an ordinary differential equation to ...
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Numerical Approximation of Solution of Ordinary Differential Equations by Single Step Methods
... Sudha finds it difficult to hurt her mother‟s sentiments, and Anju is reluctant to indulge in activities that will make her mother upset .When Sudha and her unb[r] ...
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