Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations (original) (raw)

Study of Runge Kutta Method of Higher orders and Its Application

Mohammad R . Islam

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Numerical Solution of First Order Ordinary Differential Equation by Using Runge-Kutta Method

KEDIR A L I Y I KOROCHE

International Journal of Systems Science and Applied Mathematics, 2021

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Study of Numerical Solution of Fourth Order Ordinary Differential Equations by fifth order Runge-Kutta Method

International Journal of Scientific Research in Science, Engineering and Technology IJSRSET

International Journal of Scientific Research in Science, Engineering and Technology, 2019

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Order Runge-Kutta with Extended Formulation for Solving Ordinary Differential Equations

Rizky Ashgi

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Study of Numerical Accuracy of Runge-Kutta Second, Third and Fourth Order Method

Dr. Najmuddin Ahmad

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Numerical Computations of General Non-Linear Second Order Initial Value Problems by Using Modified Runge-Kutta Method

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The Improved 6 th Order Runge-Kutta Method for Solving Initial Value Problems

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On The Derivation and Implementation of a Diagonally Implicit Runge Kutta Method for Solving Initial Value Problems in Ordinary Differential Equation

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REVIEW PAPER ON THE RUNGE-KUTTA METHODS TO STUDY NUMERICAL SOLUTIONS OF INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

IASET US

iaset, 2021

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A New Optimized Runge-Kutta Method for Solving Oscillatory Problems

kasim hussain

International Journal of Pure and Apllied Mathematics, 2016

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Comparison of Higher Order Taylor's Method and Runge- Kutta Methods for Solving First Order Ordinary Differential Equations

Gashu Gadisa

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A New Seventh Order Runge-kutta Family: Comparison with the Method of Butcher and Presentation of a Calculation Software

Richard Kouassi SOGLO

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Development of a new Runge‐Kutta method and its economical implementation

Higinio Ramos Calle

Computational and Mathematical Methods, 2019

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Construction of improved Runge-Kutta Nystrom method for solving second-order ordinary differential equations

Fudziah Ismail

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A Comparative Investigation on Numerical Solution of Initial Value Problem by Using Modified Euler's Method and Runge- Kutta Method

IOSR Journals

IOSR Journals , 2019

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Numerical comparison by different methods (second order Runge Kutta methods, Heun method, fixed point method and Ralston method) to differential equations with initial condition

Fernando Mesa

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Analysis and Comparative Study of Numerical Solutions of Initial Value Problems (IVP) in Ordinary Differential Equations (ODE) With Euler and Runge Kutta Methods

Anthony A N Y A OKEKE, Ahmed D A U D A ABUBAKAR

American Journal of Engineering Research (AJER), 2019

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Numerical Solutions of Nonlinear Ordinary Differential Equations by Using Adaptive Runge-Kutta Method

Abhinandan Chowdhury

JOURNAL OF ADVANCES IN MATHEMATICS, 2019

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NUMERICAL COMPARISON OF VARIOUS ORDER EXPLICIT RUNGE KUTTA METHODS WITH MATLAB ODE SOLVER

Azizul Hasan

Asian Journal of Mathematics and Computer Research, 2018

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A Simplified Derivation and Analysis of Fourth Order Runge Kutta Method

IBRAHIM SAIDU

International Journal of Computer Applications, 2010

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Reformulation on Modified Runge-Kutta Third Order Methods for Solving Initial Value Problems

Rafiqul Sumon

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A Comparative Study on Numerical Solutions of Initial Value Problems (IVP) for Ordinary Differential Equations (ODE) with Euler and Runge Kutta Methods

Md. Amirul Islam

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Demonstration Study on Runge-Kutta Fourth Order Method by Using MATLAB Programming

IOSR Journals

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On The Derivation and Implementation of a Fifth-Stage Fourth- Order Runge-Kutta Formula for Solving Initial Value Problems in Ordinary Differential Equations

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A Comparative Study on Classical Fourth Order and Butcher Sixth Order Runge-Kutta Methods with Initial and Boundary Value Problems

MST. SHARMIN BANU

International Journal of Material and Mathematical Sciences, 2021

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Explicit Runge-Kutta Method for Evaluating Ordinary Differential Equations of type v'''' = f (u, v, v')

Dr. Srinivasarao Thota

WSEAS Transactions on Mathematics, 2024

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Lobatto Implicit Sixth Order Runge-Kutta Method For Solving Ordinary Differential Equations with Stepsize Control

Andrés L . Granados M.

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Embedded Pair of Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations

Ali Alkhasawneh

Sains …, 2010

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SOLVING INITIAL VALUE PROBLEM USING RUNGE-KUTTA 6 th ORDER METHOD

Abbas Al-Shimmary

ARPN Journal of Engineering and Applied Sciences, 2017

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New Phase-Fitted and Amplification-Fitted Modified Runge-Kutta Method for Solving Oscillatory Problems

Firas Adel Fawzi

Global Journal of Pure and Applied Mathematics, 2016

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A Three-Stage Multiderivative Explicit Runge-Kutta Method

Ashiribo S Wusu

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P A NEW EFFICIENT PHASE-FITTED AND AMPLIFICATION-FITTED RUNGE-KUTTA METHOD FOR OSCILLATORY PROBLEMS

Firas Adel Fawzi

International Journal of Pure and Applied Mathematics, 2016

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