[PDF] Top 20 Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations
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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
... Various numerical methods have been developed for the solution of some initial value problems of ordinary differential ...equations. Some of ... See full document
11
A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods
... in numerical solution of ordinary differential ...when ordinary differential equations are solved ...in numerical analysis arise when approximations are used to ... See full document
12
Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
... merical solution of initial value problems of ordinary differential ...a class of methods called block method is one of the ...a class of multi-block ... See full document
15
A class of quasi variable mesh methods based on off step discretization for the solution of non linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions
... a class of second and third order techniques based on off-step discretizations for a general non-linear ordinary differential equation of order four, subject to the Dirichlet and Neumann boundary ... See full document
27
A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs
... to study the numerical computation of system of ordinary differential equations of first order with initial value problems and all steps of parallel algorithms of ... See full document
26
Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm
... new one-step numerical method is developed with the above mentioned characteristics in mind to solve some initial value problems of ordi- nary differential ... See full document
14
Solving Third Order Ordinary Differential Equations Using One-Step Block Method with Four Equidistant Generalized Hybrid Points
... existing methods having equal and higher order [5], [7], [15], the hybrid block method has also competed ...in solution and improved accuracy were properties displayed by the hybrid block method when ... See full document
9
One-Step Implicit Hybrid Block Method for The Direct Solution of General Second Order Ordinary Differential Equations
... hybrid methods are known to share with Runge-Kutta methods the advantage of easy change in step length and evaluating data at off step ...hybrid methods were considered initially not to ... See full document
5
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 ...multistep ... See full document
6
A nonlinear computational method for the solution of initial value problems for ordinary differential equations
... the numerical scheme while consistency and convergence of the scheme are developed in Section ...while numerical experiments on some test problems and a discussion on the performance ... See full document
6
Development of a Numerical Scheme
... Many numerical analysts such as: ...the solution of some initial value problem of ordinary dif- ferential ...this numerical analyst in numerical analy- sis had been ... See full document
6
A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations
... whose numerical approximation result could be coincides with some existing method of solution of different initial value problems of ordinary differential ...with ... See full document
6
On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations
... different methods for solving first order initial value problems of ordinary differential equations have been proposed in this work, the conventional or standard method ... See full document
7
I. I NTRODUCTION C ONSIDER the initial value problems (IVP) x, y x0 , X yx0y(1) where fRm , can be solved using the hybrid linear multistep methods (HLMM)
... the numerical solution of first order initial value problems (IVPs) in ordinary differ- ential equations ...for step number k ≤ 18. Results from numerical ... See full document
11
A New One Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations
... on some modeled examples of second order initial value problems in Ordinary Differential ...approximate solution are then compared with the existing ... See full document
11
An Eight Order Two Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations
... [12] Awoyemi, D.O. (1999) A Class of Continuous Method for General Second Order Initial Value Problems in Ordinary Differential Equations. International Journal of ... See full document
10
Solving initial value problem using Runge Kutta 6th order method
... The initial value problems (IVPs) in ordinary differential equations are numerically solved by one step explicit methods for different order , the behavior ... See full document
9
A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations
... the numerical solution of second order ordinary differential ...convergent. Numerical examples of ordinary differential equations were solved using the proposed ... See full document
6
Online Full Text
... the numerical solution of initial value problems of ordinary differential ...further study the analysis properties to show the efficiency of the ...method. ... See full document
6
Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions
... impossible to integrate in (14) in a closed form. Thus, we use the Chebyshev interpola- tion of the integrand to construct the sequence of successive approximations also in this case. In the last example, we use again ... See full document
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