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  1. 1
    Parallel Block Methods for Solving Ordinary Differential Equations

    Parallel Block Methods for Solving Ordinary Differential Equations by Abdul Majid, Zanariah

    Published 2004
    “…The new codes were then used for the parallel implementation in solving large systems of first and higher order ODEs. …”
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  2. 2
    Solving Boundary Value Problems for Ordinary Differential Equations Using Direct Integration and Shooting Techniques

    Solving Boundary Value Problems for Ordinary Differential Equations Using Direct Integration and Shooting Techniques by V., Malathi

    Published 1999
    “…In this thesis, an efficient algorithm and a code BVPDI is developed for solving Boundary Value Problems (BVPs) for Ordinary Differential Equations (ODEs). …”
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  3. 3
    Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations

    Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations by Din, Ummul Khair Salma

    Published 2009
    “…Three large scales of stiff ODEs are used to measure the parallel performances of the new embedded methods. …”
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  4. 4
    Block Multistep Methods for Solving Ordinary Differential Equations

    Block Multistep Methods for Solving Ordinary Differential Equations by Ibrahim, Zarina Bibi

    Published 2006
    “…Comparisons and illustrations with sequential codes are provided. In conclusion, the numerical results clearly demonstrates the efficiency of using the new block multistep methods for solving ODEs. …”
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  5. 5
    Solving ordinary differential equations using block multistep method

    Solving ordinary differential equations using block multistep method by Mehrkanoon, Siamak

    Published 2011
    “…In conclusion, the developed new codes deserve to be used for solving system of first and higher order IVPs of ODEs. …”
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  6. 6
    Direct Integration Block Method for Solving Higher Order Ordinary Differential Equations

    Direct Integration Block Method for Solving Higher Order Ordinary Differential Equations by Azmi, Nurul Asyikin

    Published 2010
    “…The codes were executed on UNIX operating system and the algorithms were written in C language. …”
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  7. 7
    Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations

    Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations by Yap, Lee Ken

    Published 2008
    “…The performances of the r-point block methods using sequential and parallel codes are compared in terms of the total steps, execution time, speedup and efficiency. …”
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  8. 8
    Numerical Solution For Duffing-van Der Pol Oscillator Via Block Method

    Numerical Solution For Duffing-van Der Pol Oscillator Via Block Method by A.F.N. Rasedee, M.H.A. Sathar, T.J. Wong, L.F. Koo, N.A. Ramli

    Published 2024
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  9. 9
    Numerical algorithm of block method for general second order ODEs using variable step size

    Numerical algorithm of block method for general second order ODEs using variable step size by Nazreen Waeleh, Zanariah Abdul Majid

    Published 2017
    “…This paper outlines an alternative algorithm for solving general second order ordinary differential equations (ODEs). …”
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  10. 10
    Approximating Non Linear Higher Order ODEs By A Three Point Block Algorithm

    Approximating Non Linear Higher Order ODEs By A Three Point Block Algorithm by Nurullah Rasedee, Ahmad Fadly, Abdul Sathar, Mohammad Hasan, Othman, Khairil Iskandar, Hamzah, Siti Raihana, Ishak, Norizarina

    Published 2024
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  11. 11
    Two-point block backward differentiation formula for solving higher order ordinary differential equations

    Two-point block backward differentiation formula for solving higher order ordinary differential equations by Zainuddin, Nooraini

    Published 2011
    “…Finally, this thesis zooms into the implementation of the BBDF method using the variable order algorithm for the solution of second order stiff ODEs directly. …”
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  12. 12
    Numerical algorithm of block method for general second order ODEs using variable step size

    Numerical algorithm of block method for general second order ODEs using variable step size by Waeleh, Nazreen, Abdul Majid, Zanariah

    Published 2017
    “…This paper outlines an alternative algorithm for solving general second order ordinary differential equations (ODEs). …”
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  13. 13
    Solving second order boundary value problem by shooting technique using backward difference formulae

    Solving second order boundary value problem by shooting technique using backward difference formulae by Jafri, Mahanum Diana

    Published 2011
    “…The codes were executed in UNIX operating system and the algorithms were written in C language. …”
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  14. 14
    One-step block methods for solving ordinary and delay differential equations

    One-step block methods for solving ordinary and delay differential equations by Mohd Radzi, Hazwani

    Published 2011
    “…This thesis describes the implementation of one step block methods of Runge-Kutta type for solving first order Ordinary Differential Equations (ODEs) and Delay Differential Equations (DDEs). A new modified algorithm from the existing program for solving ODEs was developed. …”
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  15. 15
    ODEcal: ordinary differential equation calculator by using MATLAB-GUI

    ODEcal: ordinary differential equation calculator by using MATLAB-GUI by Baki, Nur Afriza, Idalisa, Nur, Ghazali, Muhammad Hanif, Hussian, Nurul Hafawati Fadhilah, Fakhri, Imza

    Published 2023
    “…It is a standalone application developed using MATLAB App Designer to solve initial value problems of Differential Equations (ODEs) numerically. …”
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  16. 16
    Parallel block methods for solving higher order ordinary differential equations directly

    Parallel block methods for solving higher order ordinary differential equations directly by Omar, Zurni

    Published 1999
    “…The accuracy of the parallel block and 1-point methods is comparable particularly when finer step sizes are used. A new parallel algorithm for solving systems of ODEs using variable step size and order is also developed. …”
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  17. 17
    Variable order step size algorithm for solving second order ODEs

    Variable order step size algorithm for solving second order ODEs by Rasedee, Ahmad Fadly Nurullah, Abdul Sathar, Mohamad Hassan, Wong, Tze Ji, Koo, Lee Feng

    Published 2019
    “…Both linear and nonlinear second order ODEs will used to validate the accuracy and efficiency of the proposed method.…”
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  18. 18
    A Numerical Algorithm for Solving Stiff Ordinary Differential Equations

    A Numerical Algorithm for Solving Stiff Ordinary Differential Equations by Yatim, S. A. M., Ibrahim, Z. B., Othman, K. I., Suleiman, M. B.

    Published 2012
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  19. 19
    Multivalue-multistage method for second-order ODEs

    Multivalue-multistage method for second-order ODEs by Ismail, Siti Ainathon, Rabiei, Faranak

    Published 2016
    “…In this paper the method of order three using constant step-size algorithm is derived. The stability region of method is also proposed.…”
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  20. 20
    A numerical algorithm for solving stiff ordinary differential equations

    A numerical algorithm for solving stiff ordinary differential equations by Mohd Yatim, Siti Ainor, Ibrahim, Zarina Bibi, Othman, Khairil Iskandar, Suleiman, Mohamed

    Published 2013
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