[PDF] Top 20 A New 4th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)
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A New 4th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)
... the new hybrid 4 th order Runge-kutta methods which are based on a linear combination of arithmetic mean, harmonic mean and the geometric mean have been successfully carried ... See full document
10
Design and Analysis of Some Third Order Explicit Almost Runge Kutta Methods
... two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, ...of initial value problems (IVPs). The methods are ... See full document
9
Embedded explicit two step Runge Kutta Nyström for solving special second order IVPs
... Two-step Runge-Kutta-Nystr¨ om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems ... See full document
19
Solving initial value problem using Runge Kutta 6th order method
... for solving the differential equations. Which are modeled as initial value problems (IVPs)?There are various classes of methods in this ...improved methods which do not ... See full document
9
The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods
... chemical problems can be modeled by these ...extrapolation methods. Special multi-step methods based on numerical integration such as Adams-Bashforth methods, Adams-Moulton methods and ... See full document
13
A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods
... and Runge Kutta method are used for solving ordinary differential equation (ODE) in initial value problems ...all methods. From the figures we can see the accuracy of the ... See full document
12
Numerical Solution of Nth-Order Fuzzy Differential Equations by Third Order Runge Kutta Method Based on Combination of Arithmatics, Harmonics and Geometrics Means
... with initial value. The scheme is based on the third order Runge Kutta method for solving n-th order of fuzzy initial value ...the new method is an ... See full document
7
Preconditioning of implicit Runge-Kutta methods
... implicit Runge-Kutta (IRK) ...IRK methods lies in the numerical solution of the underlying systems of nonlinear ...a new preconditioner whose decomposition cost for a sequential or parallel ... See full document
10
High order second derivative methods with Runge--Kutta stability for the numerical solution of stiff ODEs
... linear methods (SGLMs) of orders five and six. We will aim for methods which are A–stable and have Runge–Kutta stability ...constructed methods in solving stiff initial ... See full document
11
A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)
... most problems are formulated by differential ...these problems numerical approximations are ...many methods are developed. Initial Value Problem (IVP) and Boundary Value Problem ... See full document
11
New rational and pseudo type runge kutta methods for first order initial value problems
... Kaedah-kaedah tak konvensional untuk penyelesaian masalah-masalah nilai awal (MNA) peringkat pertama secara berangka sudah wujud beberapa dekad yang lalu. Terdapat dua sebab utama yang memotivasikan pembangunan ... See full document
36
Trigonometrically-Fitted Diagonally Implicit Two Derivative Runge-Kutta method for the Numerical Solution of Periodical IVPs
... TDRK methods, Chan and Tsai (2010) introduced special explicit TDRK methods by implementing and includ- ing the second derivative which involves only one evaluation of f and a few evaluations of g per ... See full document
10
Exponentially Fitted 2 Step Simpson’s Method for Oscillatory/Periodic Problems
... Consider the IVP: u ′ = α u + e α t t u , ( ) − = − 1 e − α with the exact solution u t ( ) = t e α t . With α = 1 , the problem is solved using different values of steplength h and the maximum absolute error for each ... See full document
8
A class of implicit symmetric symplectic and exponentially fitted Runge–Kutta–Nyström methods for solving oscillatory problems
... symplectic Runge–Kutta–Nyström methods share the pronounced property of being zero-dissipative, which is an important requirement for solving oscil- latory ...symplectic methods of RKN ... See full document
16
Vol 3, No 3 (2012)
... This paper is organised as follows: In section 2, some basic results on fuzzy numbers and definition of fuzzy derivative are given. The Rational Extrapolation method and Modified Midpoint method are discussed in ... See full document
10
Vol 2, No 8 (2011)
... the initial value is a fuzzy ...and initial value problems were regularly treated by ...fuzzy initial value problem. Solving numerically the fuzzy differential ... See full document
8
Stepsize Selection in Explicit Runge Kutta Methods for Moderately Stiff Problems
... tive, and possesses the facility to control the accuracy with which the stepsize is determined. The algorithm caters for complex stiffness constants, which can arise in IVP systems, and can be implemented in vectorized ... See full document
7
Implicit Runge-Kutta Methods for Stiff and Constrained Optimal Control Problems
... [r] ... See full document
144
Two step Runge Kutta Nyström method for solving second order ordinary differential equations
... Many problems in engineering and science can be formulated in terms of differential ...These problems arise in mechanical and electrical systems, celestial and orbital mechanics, molecular dynamics, ... See full document
48
A third order Runge-Kutta method based on a convex combination of Lehmer means
... third order Runge-Kutta (RK3) method are the RK3 method based on the harmonic mean [12], the RK3 method based on geometry mean [6], the RK3 method based on the contraharmonic mean [1], and RK3 ... See full document
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