first-order linear ordinary differential equations
Tau Collocation Approximation Approach for Solving First and Second Order Ordinary Differential Equations
... In this paper, we apply the Tau-collocation approximation method for the solution of linear initial value prob- lems of the first and second order ODE in its differential and canonical form. ...
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Solving the Systems of Differential Equations by a Power Series Method
... solving ordinary differential equations, has been employed to solve linear systems of first order differential ...
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Approximating positive solutions of nonlinear first order ordinary quadratic differential equations with maxima
... Definition 2.4. [Dhage 4] An operator A on a partially normed linear space X into itself is called partially bounded if A(C) is bounded for every chain C in X . A is called uniformly partially bounded if all ...
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Hybrid block predictor-hybrid block corrector for the solution of first-order ordinary differential equations
... Abstract. This paper considers the development of one step four, hybrid block method for the solution of first order initial value problems of ordinary differential equations. The ...
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Numerical Solution of First Order Ordinary Differential Equations
... solving linear and nonlinear differential ...solving first order differential equations arising in some applications of sciences and ...
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A new numerical integrator for the solution of stiff first order ordinary differential equations
... of first order initial value problem- ...the differential system to generate a continuous linear multistep method which was evaluated at some selected grid points and implement- ed in block ...
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A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations
... by first reducing it to a system of first order ...of equations to be ...a first order ODEs by employing continuous linear multistep ...continuous linear multistep ...
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Numerical Solution of First Order Ordinary Differential Equations
... solving linear and nonlinear differential ...solving first order differential equations arising in some applications of sciences and ...
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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions
... of first order linear differential equations with constant ...the first-order linear differential equations of the form y 0 ( t ) + g ( t ) y ( t ) = ...
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Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
... the first time on the basis of an exponential function, which from a computational point of view is more appropri- ate, since the exponential function can be calculated quite accurately [2–4, ...
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Nonlinear differential equations and algebraic systems
... We present a unified treatment for the general scalar, first-order, ordinary differential equation... Particular examples are linear equations, Riccati equations and Abel equations..[r] ...
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A. System of linear ordinary differential equations of first
... of differential equations, obtaining an incremental equation based on the transfer ...matrix. First, second and fourth order Runge-Kutta approximations are ...algebraic equations with ...
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Levels of Cadmium, Lead and Zinc in Urine of Randomly Selected Smokers and Non Smokers Residents of Abeokuta City, Nigeria
... respective first derivatives (19) (21) and (23) are not ...same order p = 5 and their derivatives are developed using the same technique for the main method ...
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On solving ordinary differential equations of the first order by updating the Lagrange multiplier in variational iteration method
... In this paper, we have proposed a new iterative method for finding the solution of ordinary differential equations of the first order. In this method we have extended the idea of ...
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Comparing method of undetermined coefficients with modification rule and method of variation of parameters
... Equations (8) and (12) form a system of two equations in the unknown functions u 0 1 and u 0 2 . Af- ter solving this system using different methods such as Elimination, Substitution, and Cramer’s Rule or ...
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A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs
... effect of these errors on the solutions, To finding the numerical solution of ordinary differential equations, two types of errors occurs. Round-off errors and Truncation errors. Rounding errors ...
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A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations
... of equations y ± xy ∓ y = , which possess the particular solution y = x and another particular solution that cannot be written in closed form (it contains the error function erf( √ x ...
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IMPLICIT BLOCK HYBRID-LIKE METHOD FOR SOLVING SYSTEM OF FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
... The numerical results in Tables 1 to 5 demonstrate that the implicit block hybrid-like method outperforms the existing Adams method of same order when solving systems of first order ordinary ...
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Error Estimation of Numerical Solvers for Linear Ordinary Differential Equations
... Numerical modelling and simulation is of great importance in mechanical engineering and industrial design. ODEs often appear in such models. To simplify the model or ease solving cost, people usually consider linearized ...
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A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8
... the equations in the system, it is possible to rearrange the sparse matrices S and A to block cyclic ...the first linearly decoupled sub-block, the top half of this vector contributes in the establishment ...
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