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  1. 1
    A new hybrid deep neural networks (DNN) algorithm for Lorenz chaotic system parameter estimation in image encryption

    A new hybrid deep neural networks (DNN) algorithm for Lorenz chaotic system parameter estimation in image encryption by Nurnajmin Qasrina Ann, Ayop Azmi

    Published 2023
    “…It is a solution to a set of differential equations known as the Lorenz Equations, which Edward N. …”
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  2. 2
    Adaptive hybrid reduced differential transform method in solving nonlinear schrodinger equations

    Adaptive hybrid reduced differential transform method in solving nonlinear schrodinger equations by Abdul Rahman Farhan Sabdin, Che Haziqah Che Hussin, Jumat Sulaiman, Arif Mandangan, Essam Roshdy El-Zahar

    Published 2025
    “…In this paper, piecewise-analytical and numerical solutions are obtained by a new adapted approach named the Adaptive Hybrid Reduced Differential Transform Method (AHRDTM). …”
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  3. 3
    An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks

    An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks by Ali, Amina, Senu, Norazak, Wahi, Nadihah, Almakayeel, Naif, Ahmadian, Ali

    Published 2024
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  4. 4
    Three-point Block Algorithm For Approximating Duffing Type Differential Equations

    Three-point Block Algorithm For Approximating Duffing Type Differential Equations by Ahmad Fadly Nurullah Rasedee, Mohammad Hasan Abdul Sathar, Najwa Najib, Nurhidaya Mohamad Jan, Siti Nor Aini Mohd Aslam, Siti Munirah Mohd

    Published 2024
    journal::journal article
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  5. 5
    Feedforward neural network for solving particular fractional differential equations

    Feedforward neural network for solving particular fractional differential equations by Admon, Mohd Rashid

    Published 2024
    “…This study also focuses on solving fractal-fractional differential equations in the Caputo sense with a power-law kernel (FFDEsCP) using FNN in two hidden layers with a vectorized algorithm alongside Adam (FNN2HLVA-Adam). …”
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  6. 6
    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
    “…In this thesis, new classes of block methods based on backward differentiation formula (BDF) for solving first and second order stiff ordinary differential equations (ODEs) are developed. …”
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  7. 7
    Block multistep methods for solving first order retarded and neutral delay differential equations

    Block multistep methods for solving first order retarded and neutral delay differential equations by Abdul Aziz, Nurul Huda

    Published 2015
    “…There are two strategies that have been implemented in the numerical solutions which are the variable step size and the variable step size and variable order. In the developed algorithm, a Newton divided difference interpolation has been used in approximating a non-vanishing delay, whilst a new approach that is based on an adaptation of predictor-corrector scheme has been used to handle the vanishing delay problems. …”
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  8. 8
    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). …”
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  9. 9
    Wavelet neural networks based solutions for elliptic partial differential equations with improved butterfly optimization algorithm training

    Wavelet neural networks based solutions for elliptic partial differential equations with improved butterfly optimization algorithm training by Lee, Sen Tan, Zainuddin, Zarita, Ong, Pauline

    Published 2020
    “…In this study, a machine learning approach based on the unsupervised version of wavelet neural networks (WNNs) is used to solve two-dimensional elliptic partial differential equations (PDEs). …”
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  10. 10
    Diagonally multistep block method for solving Volterra integro-differential equation with delay

    Diagonally multistep block method for solving Volterra integro-differential equation with delay by Baharum, Nur Auni, Abdul Majid, Zanariah, Senu, Norazak, Rosali, Haliza

    Published 2023
    “…Volterra integro-differential equation with delay (VIDED) is solved using a diagonally multistep block method (DMB). …”
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  11. 11
    A hybrid technique of deep learning neural networks with finite difference method for higher order fractional Volterra-Fredholm integro-differential equations with φ-Caputo operator

    A hybrid technique of deep learning neural networks with finite difference method for higher order fractional Volterra-Fredholm integro-differential equations with φ-Caputo operato... by Alsa’Di, Kawthar, Nik Long, Nik Mohd Asri

    Published 2025
    “…This paper deals with the theoretical and numerical aspects for higher order Volterra-Fredholm fractional integro-differential equations (VF-IDEs) under φ-Caputo operator. …”
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  12. 12
    A New Substitution Box From Quranic Maqamat

    A New Substitution Box From Quranic Maqamat by Muhammad Fahim Bin Roslan

    Published 2025
    thesis::doctoral thesis
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  13. 13
    Homotopy-perturbation method for solving linear and nonlinear differential equation

    Homotopy-perturbation method for solving linear and nonlinear differential equation by Chowdhury, Md. Sazzad Hossien

    Published 2015
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  14. 14
    Rational methods for solving first order ordinary differential equation

    Rational methods for solving first order ordinary differential equation by Fairuz, A'in Nazifa

    Published 2019
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  15. 15
    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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  16. 16
    Application of multistage homotopy perturbation method to the chaotic Genesio System

    Application of multistage homotopy perturbation method to the chaotic Genesio System by Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Momani, Shaher Mohammad, Rahman, M. M.

    Published 2012
    “…The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations.…”
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  17. 17
    Application of multistage homotopy perturbation method to the chaotic Genesio system

    Application of multistage homotopy perturbation method to the chaotic Genesio system by Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Momani, Shaher, Rahman, Md. Mahmudur

    Published 2012
    “…The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations.…”
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  18. 18
    Design of single- and multi-loop self-adaptive PID controller using heuristic based recurrent neural network for ALFC of hybrid power system

    Design of single- and multi-loop self-adaptive PID controller using heuristic based recurrent neural network for ALFC of hybrid power system by Veerasamy, Veerapandiyan, Abdul Wahab, Noor Izzri, Ramachandran, Rajeswari, Othman, Mohammad Lutfi, Hizam, Hashim, Kumar, Jeevitha Satheesh, Irudayaraj, Andrew Xavier Raj

    Published 2022
    “…Initially, the energy function is formulated and the differential equations governing the dynamics of HNN are derived. …”
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  19. 19
    Modeling and multi-objective optimal sizing of standalone photovoltaic system based on evolutionary algorithms

    Modeling and multi-objective optimal sizing of standalone photovoltaic system based on evolutionary algorithms by Ridha, Hussein Mohammed

    Published 2020
    “…A new mutation vector inspired by the two-opposite path (2-Opt) algorithm with adaptive mutation scalar (F ) and crossover rate (CR) control parameters were employed to enhance the exploration and exploitation phases of the proposed algorithm. …”
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  20. 20
    Implementation of luo-rudi phase 1 cardiac cell excitation model in FPGA

    Implementation of luo-rudi phase 1 cardiac cell excitation model in FPGA by Othman, Norliza

    Published 2017
    “…For the rapid prototyping, a nonlinear Ordinary Differential Equation (ODE)­based algorithm of the LR-I model is implemented by using Hardware Description Language (I-IDL) Coder that is capable to convert MATLAB Simulink blocks designed into a synthesisable VHSIC Hardware Description Language (VHDL) code and verified using the FPGA-In-the Loop (FIL) Co-simulator. …”
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