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  1. 1

    Study on numerical solution of a variable order fractional differential equation based on symmetric algorithm by Liu, Jingrui, Pan, Dongyang

    Published 2019
    “…The common differential equation is transformed into a matrix series product by a different operator matrix. …”
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    Article
  2. 2

    Quarter-sweep preconditioned relaxation method, algorithm and efficiency analysis for fractional mathematical equation by Andang Sunarto, Praveen Agarwal, Jumat Sulaiman, Chew, Jackel Vui Lung, Shaher Momani

    Published 2021
    “…Although many numerical methods based on Caputo’s fractional derivative have been proposed to solve fractional mathematical equations, the efficiency of obtaining solutions using these methods when dealing with a large matrix requires further study. …”
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    Parallel block backward differentiation formulas for solving ordinary differential equations. by Othman, Khairil Iskandar, Ibrahim, Zarina Bibi, Suleiman, Mohamed

    Published 2008
    “…A parallel block method based on Backward Differentiation Formulas (BDF) is developed for the parallel solution of stiff Ordinary Differential Equations (ODEs). Most common methods for solving stiff systems of ODEs are based on implicit formulae and solved using Newton iteration which requires repeated solution of systems of linear equations with coefficient matrix, I -hβJ . …”
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    Article
  6. 6

    A new algorithm for system of integral equations by Rasulov, Abdujabar, Kilicman, Adem, Eshkuvatov, Zainidin K., Raimova, Gulnora

    Published 2014
    “…Using the new algorithm it is also possible to solve an initial boundary value problem for system of parabolic equations. …”
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  7. 7

    Vector least-squares solutions for coupled singular matrix equations by Kilicman, Adem, Abdel Aziz Al Zhour, Zeyad

    Published 2007
    “…The weighted least-squares solutions of coupled singular matrix equations are too difficult to obtain by applying matrices decomposition. …”
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  8. 8

    A study on solution of matrix riccati differential equations using ant colony programming and simulink / Mohd Zahurin Mohamed Kamali by Mohamed Kamali, Mohd Zahurin

    Published 2015
    “…In this thesis, we implement the modified ant colony programming (ACP) algorithm for solving the matrix Riccati differential equation (MRDE). …”
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    Thesis
  9. 9

    Operational matrix based on Genocchi polynomials for solution of delay differential equations by Isah, Abdulnasir, Phang, Chang

    Published 2017
    “…Collocation method based on this operational matrix is used. Error estimate for this scheme based on the Generalized pantograph equations is reproduced. …”
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    Generalizations and Some Applications of Kronecker and Hadamard Products of Matrices by Mah'd Al Zhour, Zeyad Abdel Aziz

    Published 2006
    “…In the field of system identification and matrix products work, we propose several algorithms for computing the solutions of the coupled matrix differential equations, coupled matrix convolution differential, coupled matrix equations, restricted coupled singular matrix equations, coupled matrix least-squares problems and weighted Least -squares problems based on idea of Kronecker (Hadamard) and Tracy-Singh(Khatri-Rao) products (sums) of matrices. …”
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    Thesis
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    Guidance, navigation and control for satellite proximity operations using Tschauner-Hempel equations by Okasha, Mohamed Elsayed Aly Abd Elaziz, Newman, Brett

    Published 2011
    “…These algorithms are based on using the analytical closed-form solution of the Tschauner-Hempel equations that is completely explicit in time. …”
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    Proceeding Paper
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    Guidance, navigation and control for satellite proximity operations using Tschauner-Hempel equations by Okasha, Mohamed Elsayed Aly Abd Elaziz, Newman, Brett

    Published 2014
    “…These algorithms are based on using the analytical closed-form solution of the Tschauner-Hempel equations that is completely explicit in time. …”
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    Quasi-Newton type method via weak secant equations for unconstrained optimization by Lim, Keat Hee

    Published 2021
    “…The possible variants of matrix free quasi-Newton methods are further explored, using the weak secant equation. …”
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    Thesis
  20. 20

    Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding by Gumel, A. B., Twizell, E. H.

    Published 1999
    “…A parallel algorithm using two processors is developed by taking the partial fraction decomposition of the Pade approximate and a (matrix) rational expression in the recurrence relation.…”
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