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  1. 1
    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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  2. 2
    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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  3. 3
    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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  4. 4
    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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  5. 5
    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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  6. 6
    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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  7. 7
    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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  8. 8
    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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  9. 9
    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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  10. 10
    Parallel Block Methods for Solving Ordinary Differential Equations

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

    Published 2004
    “…Subsequently, a more structured and efficient algorithm comprising the block methods was constructed for solving systems of first order ODEs using variable step size and order. …”
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  11. 11
    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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  12. 12
    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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  13. 13
    Block Multistep Methods for Solving Ordinary Differential Equations

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

    Published 2006
    “…In conclusion, the numerical results clearly demonstrates the efficiency of using the new block multistep methods for solving ODEs. …”
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  14. 14
    Block backward differentiation alpha-formulas for solving stiff ordinary differential equations

    Block backward differentiation alpha-formulas for solving stiff ordinary differential equations by Mohd Zawawi, Iskandar Shah

    Published 2017
    “…In conclusion, the derived methods can be used as viable alternative solver for stiff ODEs and real-life problem.…”
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  15. 15
    Optimization of chemotherapy using metaheuristic optimization algorithms / Prakas Gopal Samy

    Optimization of chemotherapy using metaheuristic optimization algorithms / Prakas Gopal Samy by Prakas Gopal , Samy

    Published 2024
    “…The study harnesses MATLAB's ode45 solver, tailored for solving ODE. Utilizing robust Runge-Kutta methods, the solver adeptly navigates the complexities of the ODE model, particularly useful when analytical solutions are challenging to obtain. …”
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  16. 16
    Parallel block backward differentiation formulas for solving ordinary differential equations.

    Parallel block backward differentiation formulas for solving ordinary differential equations. by Othman, Khairil Iskandar, Ibrahim, Zarina Bibi, Suleiman, Mohamed

    Published 2008
    “…Numerical results are given to compare the speedup and efficiency of parallel algorithm and that of sequential algorithm.…”
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  17. 17
    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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  18. 18
    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
    “…In this thesis, the implicit block methods presented as in the simple form of Adams Moulton method are developed for solving higher order systems of Ordinary Differential Equations (ODEs). This method will solve the Initial Value Problems (IVPs) of second and third order ODEs using variable step size (VS) and variable step or variable order (VSVO) techniques. …”
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  19. 19
    Numerical solution of Williamson hybrid ferrofluid over a stretching sheet / Puteri Ereena Shafira Mustafa

    Numerical solution of Williamson hybrid ferrofluid over a stretching sheet / Puteri Ereena Shafira Mustafa by Mustafa, Puteri Ereena Shafira

    Published 2023
    “…Partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using similarity transform variable. The transformed ODEs are solved numerically by using mathematical algorithm encoded in Maple software. …”
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  20. 20
    Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations

    Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations by Saufianim, Jana Aksah

    Published 2021
    “…Numerical algorithm of the method is designed to solve the second order stiff ODEs directly. …”
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