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[PDF] Top 20 A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations

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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

... efficient direct collocation method for the integration of general second order initial value problem.” Journal of Institute of Mathematics and Computer Science, 21, 227-327. [14] ... 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

... new method preserves the traditional Runge-kutta advantage of being ...the method and the materials for the development of ...the method which include, zero stability, consistency and ...derived ... See full document

8

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

... in order to solve some initial value problems of ordinary differential ...numerical method which compares the numerical solution of ordinary differential ... See full document

6

Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

... It is clear that K is a closed, bounded and convex set in C0, 1 and one can show that T : K → K is a completely continuous mapping by Arzel`a-Ascoli theorem and Lebesgue dominated convergence theorem. By applying ... See full document

18

Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations

Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations

... birth second order ordinary equations either as initial or boundary value problems when it comes to modelling real life ...these second order ordinary ... See full document

7

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

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

... numerical method is developed with the above mentioned characteristics in mind to solve some initial value problems of ordi- nary differential equations which were based on the ... See full document

14

Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations

Two and Three point Implicit Second Derivative Block Methods for Solving First Order Ordinary Differential Equations

... each block. Ibrahim et al. (2008) developed the block method by adding a fixed coefficients block backward differentiation formules to solve first order ...two point block ... See full document

14

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 ...discrete ... See full document

7

Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities

Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities

... fruitful method (Homotopy Analysis Method (HAM)) for solving linear and nonlinear (ordinary differential, partial differential, integral, ...etc.) equations. It has been ... See full document

16

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 ...RK2 order methods to introduce the basic ... See full document

26

An Eight Order Two Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations

An Eight Order Two Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations

... Continuous Method for General Second Order Initial Value Problems in Ordinary Differential ...Sixth Order Algorithms for General Second Order ... See full document

10

Existence of solutions for integral boundary value problems of second-order ordinary differential equations

Existence of solutions for integral boundary value problems of second-order ordinary differential equations

... boundary value problem (.) under sublinear conditions. The method we use is based on some recent fixed point theorems derived by Sun and Liu [, ], which are different from [] and the results we ... See full document

7

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

... solve equations of the form ...a differential equation of the form ...on equations of form (1.1). In general differential equations, in one form or another, have been at the centre of ... See full document

6

Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations

Antiperiodic Boundary Value Problems for Second-Order Impulsive Ordinary Differential Equations

... The paper is formulated as follows. In Section 2, some definitions and lemmas are given. In Section 3, we obtain two new existence theorems by using Schaefer’s fixed point theorem. In Section 4, an ... See full document

14

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')

... = 4 [1] to k = 5. Block methods which have the properties of evaluation at all points within the interval of integration are adopted to give independent solu- tions at non overlapping intervals as ... See full document

15

Finite Difference Method for Solving the Initial Value Ordinary Differential Equations (ODE)

Finite Difference Method for Solving the Initial Value Ordinary Differential Equations (ODE)

... Ordinary differential equations (ODEs), especially systems of ODEs, have been applied in many fields such as physics, electronic engineering, and population ...these problems require the ... See full document

7

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

... of initial value problems of ordinary differential ...called block method is one of the ...multi-step method to a class of multi-block methods where step ... See full document

15

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

... where $ % ( ) and & % ( ) are coefficients to be determined. Evaluating $ % ( ) and & % ( ) at ' and its first derivatives evaluated at the points , = 0(1) and substituting in (6) gives the discrete block ... 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

... of order method, [11], [8] and ...Direct method is an alternative to the reduction of order method where the problem is approximated ...adopted method to approximate the solution ... See full document

5

Implicit Two point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs

Implicit Two point Block Method with Third and Fourth Derivatives for Solving General Second Order ODEs

... two-point block method for solving directly the general second order ordinary differential equations ...The method incorpo- rates the first a nd s ... See full document

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