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fifth order

Quartic B Spline Collocation Method for Fifth Order Boundary Value Problems

Quartic B Spline Collocation Method for Fifth Order Boundary Value Problems

... ABSTRACT A finite element method involving collocation method with quartic B-splines as basis functions have been developed to solve fifth order boundary value problems.. The fifth order[r] ...

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Discrete Singular Convolution Method for Numerical Solutions of Fifth Order Korteweg De Vries Equations

Discrete Singular Convolution Method for Numerical Solutions of Fifth Order Korteweg De Vries Equations

... The study of travelling wave solutions of nonlinear par- tial differential equations (PDEs) is the major subject in many fields of physical and nonlinear sciences. Concepts like solitons, peakons, kinks, breathers, cusps ...

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Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle

Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle

... for fifth order improperly elliptic ...first order improperly and sec- ond order properly elliptic equations to present as effect- tive finite difference method in [2] but generally speak- ...

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Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

Numerical application of Adomian decomposition method to fifth-order autonomous differential equations

... Abstract. In this paper, Adomian Decomposition Method(ADM) is applied to Fifth-Order autonomous differential equations. The general concept of ADM to this class of equations was stated in relation to the ...

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On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth Order

On the Stability of Solutions of Nonlinear Functional Differential Equation of the Fifth Order

... Later in 2011 Abou-El-Ela, Sadek and Mahmoud [30] obtained the sufficient conditions for the uniform stability of the zero solution of a nonlinear fifth-order delay differential equation[r] ...

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WENO-WOMBAT: Scalable Fifth-order Constrained-transport Magnetohydrodynamics for Astrophysical Applications

WENO-WOMBAT: Scalable Fifth-order Constrained-transport Magnetohydrodynamics for Astrophysical Applications

... second order codes are compu- tationally more efficient in one dimension, in the sense of solution quality per computational ...a fifth order finite difference weighted essentially non oscillatory ...

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The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation

The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation

... 1)-dimensional fifth-order KdV equation is an important higher-dimensional and high- er-order extension of the famous KdV equation in fluid ...1)-dimensional fifth-order KdV equation by ...

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Numerical Solution of First Order Nonlinear Fuzzy Initial Value Problems by Six  Stage Fifth Order Runge Kutta Method

Numerical Solution of First Order Nonlinear Fuzzy Initial Value Problems by Six Stage Fifth Order Runge Kutta Method

... fuzzy order differential equation. The scheme is based on the six stages fifth order Runge Kutta method for solving first order nonlinear ...

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Approach to a Fifth Order Boundary Value Problem, via Sperner's Lemma

Approach to a Fifth Order Boundary Value Problem, via Sperner's Lemma

... higher order differential equation is observed, see for example ...for fifth order differential ...linear fifth-order ODE with a convective nonlinearity, while Odda [11] obtains ...

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Exact Traveling Wave Solutions to the Fifth-order KdV Equation Using the Exponential Expansion Method

Exact Traveling Wave Solutions to the Fifth-order KdV Equation Using the Exponential Expansion Method

... in order to obtain new periodic and soliton solutions to various important forms of the fKdV ...the fifth-order nonlinear evolution equation with variable ...

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Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues

Asymptotic Solutions for the Fifth Order Critically Damped Nonlinear Systems in the Case for Small Equal Eigenvalues

... a fifth order critically damped nonlinearsystem in the case of small equal ei- genvalues and tries to find out an asymptotic ...fourth order Runge-Kutta ...

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Numerical Solution of Fifth Order Boundary Value Problems by Galerkin Method with Quartic B splines

Numerical Solution of Fifth Order Boundary Value Problems by Galerkin Method with Quartic B splines

... solve fifth order boundary value problems, Fyfe [4] used spline functions to solve fifth order boundary value problems, who used quintic polynomial spline functions to develop consistency ...

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Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation

Exact Solution and Conservation Laws for Fifth Order Korteweg de Vries Equation

... ABSTRACT With the aid of Mathematica, new exact travelling wave solutions for fifth-order KdV equation are obtained by using the solitary wave ansatz method and the Wu elimination method[r] ...

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Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations

Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations

... 5th order KdV ...some fifth-order KdV equation by decomposi- tion method and Kaya and El-Sayed in [14] proved the convergence of (ADM) applied to (gfKdV) ...

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New Fifth-order Simpson-type Method for Solving Nonlinear Equations

New Fifth-order Simpson-type Method for Solving Nonlinear Equations

... new fifth-order iterative method to find a simple root of the nonlinear ...convergence order of two and three respectively ...new fifth-order Simpson-type method was to increase the ...

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Septic B Spline Solution of Fifth Order Boundary Value Problems

Septic B Spline Solution of Fifth Order Boundary Value Problems

... In the paper, the fifth-order boundary value problems are solved by means of septic B-splines collocation me- thod. We use the quesilinearization technique to reduce the nonlinear problems to linear ...

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Design and Simulation of Fifth Order Band-Pass Filter for S Band

Design and Simulation of Fifth Order Band-Pass Filter for S Band

... This filter has been designed at a center frequency of 3 GHz with 1 GHz bandwidth. This filter has been developed using Richards-Kuroda transformation method based Chebyshev low pass filter approximation. The filter was ...

5

New Fourth and Fifth Order Iterative Methods for Solving Nonlinear Equations

New Fourth and Fifth Order Iterative Methods for Solving Nonlinear Equations

... Theorem 6 Let f I : ⊂  →  for an open interval I and consider that the nonlinear equation f x ( ) = 0 (or x = g x ( ) ) has simple root α ∈ I , where g x ( ) : I ⊂  →  be sufficiently smooth in the neighborhood of ...

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A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)

A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)

... general fifth order Runge-Kutta method. Also we use fourth order Runge-Kutta (RK4) and fifth order Runge-Kutta (RK5) methods for solving third order initial value problems in ...

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Optimally stable fifth order integration methods: a numerical
approach

Optimally stable fifth order integration methods: a numerical approach

... From the family of 5,4 iterative correctors, the method 5.2 which has optimal relative stability properties in the sense that its complex region of relative stability contains a maximal [r] ...

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