Displaying publications 1 - 20 of 250 in total

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  1. Fazle Mabood, Ahmad Izani Md Ismail, Ishak Hashim
    Sains Malaysiana, 2013;42:863-867.
    In this paper, the optimal homotopy asymptotic method (OHAM) is applied to obtain an approximate solution of the nonlinear Riccati differential equation. The method is tested on several types of Riccati differential equations and comparisons that were made with numerical results showed the effectiveness and accuracy of this method.
    Matched MeSH terms: Paper
  2. Vrzalikova K, Ibrahim M, Vockerodt M, Perry T, Margielewska S, Lupino L, et al.
    Leukemia, 2019 Aug;33(8):2126.
    PMID: 31239494 DOI: 10.1038/s41375-019-0511-z
    An amendment to this paper has been published and can be accessed via a link at the top of the paper.
    Matched MeSH terms: Paper
  3. Grill G, Lehner B, Thieme M, Geenen B, Tickner D, Antonelli F, et al.
    Nature, 2019 Aug;572(7768):E9.
    PMID: 31337922 DOI: 10.1038/s41586-019-1379-9
    An Amendment to this paper has been published and can be accessed via a link at the top of the paper.
    Matched MeSH terms: Paper
  4. Rizan N, Yew CY, Niknam MR, Krishnasamy J, Bhassu S, Hong GZ, et al.
    Sci Rep, 2018 Apr 12;8(1):6009.
    PMID: 29651139 DOI: 10.1038/s41598-018-24116-5
    A correction to this article has been published and is linked from the HTML and PDF versions of this paper. The error has not been fixed in the paper.
    Matched MeSH terms: Paper
  5. Chiam SL, Lim HN, Hafiz SM, Pandikumar A, Huang NM
    Sci Rep, 2018 Jul 12;8(1):10830.
    PMID: 29997395 DOI: 10.1038/s41598-018-28897-7
    A correction to this article has been published and is linked from the HTML and PDF versions of this paper. The error has not been fixed in the paper.
    Matched MeSH terms: Paper
  6. Dung TM, Ngoc VTN, Hiep NH, Khoi TD, Xiem VV, Chu-Dinh T, et al.
    Sci Rep, 2019 Nov 06;9(1):16405.
    PMID: 31695133 DOI: 10.1038/s41598-019-53311-1
    An amendment to this paper has been published and can be accessed via a link at the top of the paper.
    Matched MeSH terms: Paper
  7. Taheri S, Abdullah TL, Rafii MY, Harikrishna JA, Werbrouck SPO, Teo CH, et al.
    Sci Rep, 2019 Nov 05;9(1):16395.
    PMID: 31685940 DOI: 10.1038/s41598-019-53129-x
    An amendment to this paper has been published and can be accessed via a link at the top of the paper.
    Matched MeSH terms: Paper
  8. Hawkes FM, Manin BO, Cooper A, Daim S, R H, Jelip J, et al.
    Sci Rep, 2019 Nov 20;9(1):17510.
    PMID: 31745193 DOI: 10.1038/s41598-019-53744-8
    An amendment to this paper has been published and can be accessed via a link at the top of the paper.
    Matched MeSH terms: Paper
  9. Chowdhury M, Hashim I
    In this paper, the homotopy-perturbation method (HPM) is applied to obtain approximate analytical solutions for the Cauchy reaction-diffusion problems. HPM yields solutions in convergent series forms with easily computable terms. The HPM is tested for several examples. Comparisons of the results obtained by the HPM with that obtained by the Adomian decomposition method (ADM), homotopy analysis method (HAM) and the exact solutions show the efficiency of HPM.
    Matched MeSH terms: Paper
  10. Poznanski RR, Cacha LA, Al-Wesabi YMS, Ali J, Bahadoran M, Yupapin PP, et al.
    Sci Rep, 2017 09 06;7(1):10675.
    PMID: 28878253 DOI: 10.1038/s41598-017-07626-6
    A correction to this article has been published and is linked from the HTML version of this paper. The error has been fixed in the paper.
    Matched MeSH terms: Paper
  11. Nopiah Z, Othman H, Razali N
    Sains Malaysiana, 2018;47:2927-2932.
    In this paper, we study the effects of symmetrization by the implicit midpoint rule (IMR) and the implicit trapezoidal rule
    (ITR) on the numerical solution of ordinary differential equations. We extend the study of the well-known formula of Gragg
    to a two-step symmetrizer and compare the efficiency of their use with the IMR and ITR. We present the experimental results
    on nonlinear problem using variable stepsize setting and the results show greater efficiency of the two-step symmetrizers
    over the one-step symmetrizers of IMR and ITR.
    Matched MeSH terms: Paper
  12. Natiq H, Banerjee S, Ariffin MRK, Said MRM
    Chaos, 2019 Jan;29(1):011103.
    PMID: 30709147 DOI: 10.1063/1.5079886
    In this paper, we investigate the dynamical behavior in an M-dimensional nonlinear hyperchaotic model (M-NHM), where the occurrence of multistability can be observed. Four types of coexisting attractors including single limit cycle, cluster of limit cycles, single hyperchaotic attractor, and cluster of hyperchaotic attractors can be found, which are unusual behaviors in discrete chaotic systems. Furthermore, the coexistence of asymmetric and symmetric properties can be distinguished for a given set of parameters. In the endeavor of chaotification, this work introduces a simple controller on the M-NHM, which can add one more loop in each iteration, to overcome the chaos degradation in the multistability regions.
    Matched MeSH terms: Paper
  13. Idham Arif Alias
    MyJurnal
    A map on a group is not necessarily an automorphism on the group. In this paper we study the necessary and sufficient conditions for a map on a non-split metacyclic p-group to be an automorphism, where we only consider p as an odd prime number. The metacyclic group can be defined by a presentation and it will be beneficial to have a direct relation between the parameters in the presentation and an automorphism of the group. We consider the action of an automorphism on the generators of the group mentioned. Since any element of a metacyclic group will be mapped to an element of the group by an automorphism, we can conveniently represent the automorphism in a matrix notation. We then use the relations and the regularity of the non-split metacyclic p-group to find conditions on each entry of the matrix in terms of the parameters in its presentation so that such a matrix does indeed represent an automorphism.
    Matched MeSH terms: Paper
  14. Che Idris CA, Sundram K, Abdull Razis AF
    Nutrients, 2018 Nov 30;10(12).
    PMID: 30513649 DOI: 10.3390/nu10121839
    The authors wish to make the following change to their paper (Che Idris et al. [...].
    Matched MeSH terms: Paper
  15. Abdulaziz O, Hashim I, Chowdhury M, Momani S
    In this paper, systems of second-order boundary value problems (BVPs) are considered. The applicability of the homotopy-perturbation method (HPM) was extended to obtain exact solutions of the BVPs directly.
    Matched MeSH terms: Paper
  16. Idham Arif Alias
    A map on a group is not necessarily an automorphism on the group. In this paper we determined the necessary and sufficient conditions of a map on a split metacyclic p-group to be an automorphism, where we only considered p as an odd prime number. The metacyclic group can be defined by a presentation and it will be beneficial to have a direct relation between the parameters in the presentation and an automorphism of the group. We considered the action of an automorphism on the generators of the group mentioned. Since any element of a metacyclic group will be mapped to an element of the group by an automorphism, we can conveniently represent the automorphism in a matrix notation. We then used the relations and the regularity of the split metacyclic p-group to find conditions on each entry of the matrix in terms of the parameters in its presentation so that such a matrix does indeed represent an automorphism.
    Matched MeSH terms: Paper
  17. elvira pederes de lara-tuprio, Varayu boonpogkrong
    Sains Malaysiana, 2017;46:2549-2554.
    n this paper, transformation and differentiation of Henstock-Wiener integrals are discussed. The approach is by Riemann sums. The idea is more transparent than that of classical Wiener integral.
    Matched MeSH terms: Paper
  18. Sufia Zulfa Ahmad, Yusuf Dauda Jikantoro, Norazak Senu, Fudziah Ismail, Yusuf Dauda Jikantoro
    Sains Malaysiana, 2018;47:2223-2230.
    In this paper, we develop algebraic order conditions for two-point block hybrid method up to order five using the approach
    of B-series. Based on the order conditions, we derive fifth order two-point block explicit hybrid method for solving
    special second order ordinary differential equations (ODEs), where the existing explicit hybrid method of order five is
    used to be the method at the first point. The method is then trigonometrically fitted so that it can be suitable for solving
    highly oscillatory problems arising from special second order ODEs. The new trigonometrically-fitted block method is
    tested using a set of oscillatory problems over a very large interval. Numerical results clearly showed the superiority
    of the method in terms of accuracy and execution time compared to other existing methods in the scientific literature.
    Matched MeSH terms: Paper
  19. Yow, K.S., Sapar, S.H., Atan, K.A.
    MyJurnal
    This paper investigates and determines the solutions for the Diophantine equation x2 + 4.7b = y2r, where
    x, y, b are all positive intergers and r > 1. By substituting the values of r and b respectively, generators of
    x and yr can be determined and classified into different categories. Then, by using geometric progression
    method, a general formula for each category can be obtained. The necessary conditions to obtain the
    integral solutions of x and y are also investigated.
    Matched MeSH terms: Paper
  20. Khan, Z.A., Siddiquee, A.N., Kamaruddin, S.
    MyJurnal
    This paper presents an effective approach for the optimization of an in-feed centreless cylindrical grindingof EN52 austenitic grade steel (DIN: X45CrSi93) with multiple performance characteristics based on thegrey relational analysis. To study the effect of the entire space of the input variables, nine experimentalruns, based on the Taguchi method of L9 orthogonal arrays, were performed to determine the best factorlevel condition. The response table and response graph for each level of the machining parameters wereobtained from the grey relational grade. In this study, the in-feed centreless cylindrical grinding processparameters, such as dressing feed, grinding feed, dwell time and cycle time, were optimized by takinginto consideration the multiple-performance characteristics like surface roughness and out of cylindricity.By analyzing the grey relational grade, it was observed that dressing feed, grinding feed and cycle timehad significant effect on the responses. The optimal multiple performance characteristics were achievedwith dressing feed at level 1 (5 mm/min), grinding feed at level 2 (6 mm/min), dwell time at level 2(2.5 s), and cycle time at level 2 (11 s). It is clearly shown that the above performance characteristics inthe in-feed Centreless cylindrical grinding process can be improved effectively through this approach.
    Matched MeSH terms: Paper
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