Applied and Computational Mathematics

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Volume 13, Issue 3, June 2024

  • Research Article

    Some New Results on Domination and Independent Dominating Set of Some Graphs

    Basma Mohamed*, Mohammed Badawy

    Issue: Volume 13, Issue 3, June 2024
    Pages: 53-57
    Received: 22 February 2024
    Accepted: 12 March 2024
    Published: 10 May 2024
    DOI: 10.11648/j.acm.20241303.11
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    Abstract: One area of graph theory that has been studied in great detail is dominance in graphs. Applications for dominating sets are numerous. In wireless networking, dominant sets are used to find effective paths inside ad hoc mobile networks. They have also been used in the creation of document summaries and safe electrical grid systems. A set S⊆V is said... Show More
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  • Research Article

    Error Approximation of the Second Order Hyperbolic Differential Equationby Using DG Finite Element Method

    Muhammad Toriqul Islam, Muhammad Shakhawat Hossain*

    Issue: Volume 13, Issue 3, June 2024
    Pages: 58-68
    Received: 2 February 2024
    Accepted: 4 March 2024
    Published: 3 June 2024
    DOI: 10.11648/j.acm.20241303.12
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    Abstract: This article presents a simple efficient and asynchronously correcting a posteriori error approximation for discontinuous finite element solutions of the second-order hyperbolic partial differential problems on triangular meshes. This study considersthe basis functions for error spaces corresponding to some finite element spaces. The discretization... Show More
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