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[PDF] Top 20 A nonlinear computational method for the solution of initial value problems for ordinary differential equations

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A nonlinear computational method for the solution of initial value problems for ordinary differential equations

A nonlinear computational method for the solution of initial value problems for ordinary differential equations

... We have presented a numerical scheme that is efficient, stable and convergent. The implementation of the scheme is simple and the results obtained when the scheme is applied to various problems shows that the ... See full document

6

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

... hybrid Method for the Numerical Solution of General Third Order Initial Value Problems in Ordinary Differential Equations is study in this ...the method, the ... See full document

8

On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations

On One Justification on the Use of Hybrids for the Solution of First Order Initial Value Problems of Ordinary Differential Equations

... standard method with its hybrid method of the same step number for the solution of first order initial value problems of ordinary differential ...approximate ... See full document

7

Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method

Accurate solutions of first order nonlinear initial value problems for ordinary differential equations withtherunge - kutta - fehlberg method

... of computational mathematics numerical methods are most widely utilized to solve the equation rising in the field of applied mathematical science, engineering and ...Many problems of mathematical physics ... See full document

7

Collocation Techniques for Block Methods for the Direct Solution of Higher Order Initial Value Problems of Ordinary Differential Equations

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 ...block method; it ... See full document

6

A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations

A New Numerical Approach for Solving Initial Value Problems of Ordinary Differential Equations

... some initial value problems of ordinary differential ...numerical method which compares the numerical solution of ordinary differential ...a method of ... See full document

6

Online Full Text

Online Full Text

... Numerical method is a substantial aspect in solving initial value problems in ordinary differential equations where the problems cannot be solved or difficult to ... See full document

6

Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method

Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan Rach Wazwaz Modified Adomian Decomposition Method

... the problems are ob- tained by using MATHEMATICA routines PSSOL and NSOL ...of differential equations by using the command ...these problems are ... See full document

23

Five Steps Block Predictor Block Corrector Method for the Solution of y'' = f (x,y,y')

Five Steps Block Predictor Block Corrector Method for the Solution of y'' = f (x,y,y')

... new method k = 5 performed better than that of k = ...corrector method for use in the quest for solutions to second order initial value problems of ordinary differential ... See full document

15

Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations

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 ...block method is one of the ...multi-step method to a class of multi-block methods where step ... See full document

15

A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs

A study on approximate solutions and accuracy of parallel algorithms for solving system of ODEs

... of ordinary differential equations of first order with initial value problems and all steps of parallel algorithms of ...with initial value problems for ... See full document

26

Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

... the solution of some ini- tial value problems of ordinary differential ...some initial value problem of ordinary differential equations with a ... See full document

14

A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations

A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations

... this method, it suffers some setbacks. According to [3], the method is un-economical in terms of cost of implementation, increased computational burden and wastage of computer time and increased ... See full document

6

One-Step Implicit Hybrid Block Method for The Direct Solution of General Second Order Ordinary Differential Equations

One-Step Implicit Hybrid Block Method for The Direct Solution of General Second Order Ordinary Differential Equations

... block solution method for initial value problems of general second order ordinary differential equations has been studied in this ...step method is augmented ... See full document

5

Nonstandard explicit third-order Runge-Kutta method with positivity property

Nonstandard explicit third-order Runge-Kutta method with positivity property

... solves differential equations, modeling physical phenomena, it is of great importance to take physical constraints into ...Runge-Kutta method (we will refer to it as RK3 method) positivity is ... See full document

10

A New One Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations

A New One Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations

... the method. In addition, the performance of the method is tested on some modeled examples of second order initial value problems in Ordinary Differential ...approximate ... See full document

11

Solving Third Order Ordinary Differential Equations Using One-Step Block Method with Four Equidistant Generalized Hybrid Points

Solving Third Order Ordinary Differential Equations Using One-Step Block Method with Four Equidistant Generalized Hybrid Points

... block method has shown better accuracy with less and equal number of steps in comparison to [2] and [11] ...block method has also competed ...block method in application to the nonlinear ... See full document

9

Application of the Hybrid Differential Transform Method to the Nonlinear Equations

Application of the Hybrid Differential Transform Method to the Nonlinear Equations

... solving initial value problems, the truncation error produced by the finite difference method is greater than that produced by the differential transform ...hybrid method which ... See full document

5

Tensor Method to the Weak Solution of the Second Order System of Ordinary Differential Equations with Boundary Value Problems (I)

Tensor Method to the Weak Solution of the Second Order System of Ordinary Differential Equations with Boundary Value Problems (I)

... tensor method for variational approach is established based on Lax-Milgram ...weak solution of ODE system with homogeneous boundary value ...proposed method is effective to the system of ODE ... See full document

5

Solution matching for boundary value problems for linear equations

Solution matching for boundary value problems for linear equations

... Three-point boundary value problems for ordinary differential equations by matching solutions, Nonlinear Anal.. Exlstence-unlqueness theorems for three-polnt.[r] ... See full document

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