Ordinary differential equations and initial value problems
Euler’s Method for Solving Initial Value Problems in Ordinary Differential Equations.
... This work presents Euler’s method for solving initial value problems in ordinary differential equations. This method is presented from the point of view of Taylor’s algorithm ...
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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. ...
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Rational interpolation method for solving initial value problems (IVPs) in ordinary differential equations
... of Ordinary Differential Equations (ODEs) have been attracting much attention due to their need in the solution of problems arising from the mathematical formulation of physical situations in ...
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Exploring Students’ Difficulties in Solving Nonhomogeneous 2nd Order Ordinary Differential Equations with Initial Value Problems
... 1 Correspondence Adress; [email protected] Abstract This research aims to explore students’ difficulties in resolving Nonhomogeneous 2 nd Order Ordinary Differential Equations ...
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On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations
... Abstract: This paper is aimed at discussing and comparing the performance of standard method with its hybrid method of the same step number for the solution of first order initial value problems of ...
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Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations
... an ordinary differential equation (ODE) of the th order ( ≥ 2 ...order ordinary differential equations and then solve using predictor corrector or Runge-Kutta ...order initial ...
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Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations
... of initial value problems in ordinary differential ...some initial value problems of first order ordinary differential equations, we discovered ...
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Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method
... Many problems of mathematical physics can be started in the form of differential ...mathematical problems that are formulated in science and engineering where it is difficult or even impossible to ...
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Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method
... We employ the Duan-Rach-Wazwaz modified Adomian decomposition me- thod for solving initial value problems for the systems of nonlinear ordinary differential equations ...
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A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods
... solving initial value prob- lems of ordinary differential ...of initial value problems using Euler method and Runge Kutta method have been carried ...tial value ...
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A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations
... 5. Conclusions The development and implementation of a Fifth-fourth Continuous block implicit hybrid Method for the Numerical Solution of General Third Order Initial Value Problems in Ordinary ...
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An Eight Order Two Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations
... order initial value problems of ordinary differential equations without reduction to systems of first order diffe- rential ...test problems, and results were compared with ...
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Chapter 5. Methods for ordinary differential equations. 5.1 Initial-value problems
... The boundary conditions (BC) play a crucial role in the description of the problem: if the BC changes, the solution changes completely, and so can the LTE and the error. For instance, let’s return to the Neumann problem ...
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A nonlinear computational method for the solution of initial value problems for ordinary differential equations
... Walter Sisulu University Private Bag X1, Mthatha 5117; South Africa ABSTRACT It is a documented fact that mathematical formulation of physical phenomena in many diverse fields such as electrical engineering, control ...
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A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations
... that can solve (1) above. Some authors have attempted solving (1) numerically by first reducing it to a system of first order equations. Notable among these authors are [1] and [2]. In spite of the success of this ...
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Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
... the initial value problems, being continuous interpolant derived and collo- cated at grid ...of ordinary differential equa- tions were solved using the derived methods to show their ...
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PSTricks. pst-ode. A PSTricks package for solving initial value problems for sets of Ordinary Differential Equations (ODE), v0.7.
... of differential equations is known to display chaotic behaviour due to the non- linear combination (products) of the dependent functions x(t), y(t) and ...the initial conditions and hence to slight ...
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Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations
... homogeneous differential equation in initial-value problems yield simple recur- rence relations for the coefficient, but they are generally not adequate for nonlinear equations, ...
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Initial value problems for Caputo fractional differential equations
... for initial value problems for fractional differential equations; see [14, 21, 22], for ...of initial value problems analogous to the study of initial value ...
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Initial value problems for system of differential algebraic equations in Maple
... the differential index and then we find the general solution with free param- ...homogeneous initial conditions, however we also discuss an algorithm to check the con- sistency of the non-homogeneous ...
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