Applied and Computational Mathematics

Archive

Volume 8, Issue 3, June 2019

  • A Fifth-fourth Continuous Block Implicit Hybrid Method for the Solution of Third Order Initial Value Problems in Ordinary Differential Equations

    Adoghe Lawrence Osa, Omole Ezekiel Olaoluwa

    Issue: Volume 8, Issue 3, June 2019
    Pages: 50-57
    Received: 30 January 2019
    Accepted: 17 March 2019
    Published: 12 August 2019
    DOI: 10.11648/j.acm.20190803.11
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    Abstract: In this paper, block method was developed using method of collocation and interpolation of power series as approximate solution to give a system of non linear equations which is solved to give a continuous hybrid linear multistep method. The continuous hybrid linear multistep method is solved for the independent solutions to give a continuous hybri... Show More
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  • The Application of Bessel Function in the Definite Solution Problem of Cylindrical Coordinate System

    Wenjie He, Meiling Zhao

    Issue: Volume 8, Issue 3, June 2019
    Pages: 58-64
    Received: 12 July 2019
    Accepted: 10 August 2019
    Published: 23 August 2019
    DOI: 10.11648/j.acm.20190803.12
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    Abstract: The variable separation method is an important method to solve the definite solution problems, especially the definite solution problems of cylinder and sphere regions. This method can solve these problems on cylinder and sphere regions, but the solving procedures are very difficult in the practical application. It is often solved by combining the ... Show More
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  • Characteristic Vectors in p/q-Channel Orthonormal Wavelet

    Zhaofeng Li, Hongying Xiao

    Issue: Volume 8, Issue 3, June 2019
    Pages: 65-69
    Received: 8 July 2019
    Published: 27 August 2019
    DOI: 10.11648/j.acm.20190803.13
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    Abstract: Wavelet analysis is a newly rapidly developing subject in the late twentieth century. As a time-frequency analysis tool, wavelet analysis has many advantages over other time-frequency tools, such as in signal processing, image processing, speech processing, pattern recognition, quantum physics and other fields. Multiresolution analysis (MRA for sho... Show More
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