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Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type using Hybrid Block Method

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Advances in Applied Mathematics and Mechanics 2022年第5期14卷 1138-1160页

作者： Nur Inshirah Naqiah Ismail Zanariah Abdul Majid norazak senu Institute for Mathematical Research Universiti Putra Malaysia43400 UPM SerdangSelangorMalaysia Department of Mathematics and Statistics Faculty of ScienceUniversiti Putra Malaysia43400 UPM SerdangSelangorMalaysia

Neutral Delay Differential Equation(NDDE)is a differential problem that has regularly existed in numerous occurrences and has represented a significant role in dealing with real-life phenomena,especially on their application in biological and physiological processes.A fifth-order two-point hybrid implicit multistep block method(2PIH5)has been formulated in this research for the numerical solution of Neutral Delay Differential Equation(NDDE).A Taylor series interpolation polynomial has been implemented in the formulation of the proposed *** order,consistency,and zero-stability for 2PIH5 have been *** analyses of convergence and stability test have been performed and *** initial value problems for the first-order NDDE with constant or proportional delay have been solved using the proposed block *** numerical results for the proposed method have been presented to prove the adaptability and applicability of the proposed method in solving *** proposed method is proved to be comparable with the other existing *** is assumed to be reliable and efficient for solving the first-order NDDE with constant or proportional delay.

关键词： Constant delay hybrid method multistep block method neutral delay differential equation proportional delay

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Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation

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Applied Mathematics 2012年第8期3卷 851-856页

作者： Mohammed S. Mechee norazak senu Department of Mathematics Universiti Putra Malaysia 43400 UPM SerdangSelangor Malaysia Institute of Mathematical Sciences University of Malaya 50603 Kuala Lumpur Malaysia

Lane-Emden differential equations of order fractional has been *** solution of this type is considered by collocation method. Some of examples are illustrated. The comparison between numerical and analytic methods has... 详细信息

关键词： Fractional Calculus Fractional Differential Equation Lane-Emden Equation Numerical Collection Method

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