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  1. 1
    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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  2. 2
    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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  3. 3
    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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  4. 4
    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
    “…In conclusion, the new methods developed can be used as viable alternatives for solving higher order ODEs directly.…”
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  5. 5
    Multivalue-multistage method for second-order ODEs

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

    Published 2016
    “…The aim of this paper is to generate the needed framework to develop order conditions for second-order Ordinary Differential Equations (ODEs) by class of multivalue-multistage Nystrom method. …”
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  6. 6
    Parallel Block Methods for Solving Ordinary Differential Equations

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

    Published 2004
    “…In conclusion, the new codes developed in this thesis are suitable for solving systems of first and higher order ODEs…”
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  7. 7
    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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  8. 8
    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
    “…This approach is very well established but it obviously will enlarge the dimension of the equations. However, the developed block method will solve the system of higher order ODEs directly without reducing it to first order. …”
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  9. 9
    Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems

    Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems by Senu, Norazak

    Published 2010
    “…We observe that the PERKN gives the better performance when solving large system of ODEs. In conclusion, the new codes developed in this thesis are suitable for solving system of second-order ODEs in which the solutions are in the oscillatory form.…”
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  10. 10
    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
    “…Subsequently, the BBDF- is constructed for solving second order stiff ODEs directly. This method is specially designed to cater the second order ODEs without reducing it into the first order. …”
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  11. 11
    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
    “…The interface of ODEcal in this study contains several methods comprising Euler, modified Euler, Runge Kutta of order four, and some MATLAB built-in function of ode113, ode45, ode23t, ode23s, ode15s, ode23tb and ode23.…”
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  12. 12
    An effective wavelet neural network approach for solving first and second order ordinary differential equations

    An effective wavelet neural network approach for solving first and second order ordinary differential equations by Lee Sen Tan, Lee Sen Tan, Zainuddin, Zarita, Pauline Ong, Pauline Ong, Abdullah, Farah Aini A

    Published 2024
    “…The development of efficient numerical methods for obtaining numerical solutions of first and second order ordinary differential equations (ODEs) is of paramount importance, given the widespread utilization of ODEs as a means of characterizing the behavior in various scientific and engineering disciplines. …”
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  13. 13
    Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications

    Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications by Mohd Ijam, Hazizah

    Published 2020
    “…Thus, the new methods developed can be included as viable alternatives for solving first and second order stiff ODEs.…”
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  14. 14
    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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  15. 15
    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
    “…In this paper,the matrix operations is paralleled in order to reduce the cost of the iterations. Numerical results are given to compare the speedup and efficiency of parallel algorithm and that of sequential algorithm.…”
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  16. 16
    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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  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
    “…Comparisons on numerical results to existing methods show a competitive efficiency when solving small systems of stiff ODEs. A parallel code is developed with the same capability of the modified sequential code to handle stiff ODEs, linear and nonlinear problems. …”
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  18. 18
    Parallel R-point implicit block method for solving higher order ordinary differential equations directly

    Parallel R-point implicit block method for solving higher order ordinary differential equations directly by Omar, Zurni, Sulaiman, M.

    Published 2004
    “…In this paper, a new method called parallel R-point implicit block method for solving higher order ODEs directly using constant step size is developed. …”
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  19. 19
    Paralell R-point implicit block method for solving higher order ordinary differential equations directly

    Paralell R-point implicit block method for solving higher order ordinary differential equations directly by Omar, Zurni, Sulaiman, M.

    Published 2004
    “…In this paper, a new method called parallel R-point implicit block method for solving higher order ODEs directly using constant step size is developed. …”
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  20. 20
    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
    “…A new modified algorithm from the existing program for solving ODEs was developed. …”
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