Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

被引：132
|
作者：
Yokus, Asif [1 ]
Gulbahar, Sema [2 ]
机构：
[1] Firat Univ, Dept Actuary, TR-2300 Elazig, Turkey
[2] Harran Univ, Dept Math, Sanliurfa, Turkey
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 01期
关键词：
Harry Dym equation; finite difference method; von Neumann stability analysis;
D O I：
10.2478/AMNS.2019.1.00004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L-2 and L-infinity are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.
引用
收藏
页码：35 / 42
页数：8
相关论文
共 50 条
  • [1] Approximate solutions of the fractional Harry Dym equation
    Unal, Sevil Culha
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2024, 42 (05): : 1604 - 1611
  • [2] On the fractional Harry Dym equation
    Costa, Felix S.
    Soares, Junior C. A.
    Plata, Adrian R. G.
    de Oliveira, Edmundo C.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 2862 - 2876
  • [3] On the fractional Harry Dym equation
    Felix S. Costa
    Junior C. A. Soares
    Adrian R. G. Plata
    Edmundo C. de Oliveira
    Computational and Applied Mathematics, 2018, 37 : 2862 - 2876
  • [4] Explicit solutions for the Harry Dym equation
    FUCHSSTEINER, B
    SCHULZE, T
    CARILLO, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (01): : 223 - 230
  • [5] Numerical Simulation of Harry Dym Equation
    RameshRao, T. R.
    11TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS, 2019, 2112
  • [6] Exact Solutions of the Harry-Dym Equation
    Mokhtari, Reza
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (02) : 204 - 208
  • [7] Exact Solutions of the Harry-Dym Equation
    Reza Mokhtari
    CommunicationsinTheoreticalPhysics, 2011, 55 (02) : 204 - 212
  • [8] New Reliable Algorithm for Fractional Harry Dym Equation
    Kumar, Devendra
    Singh, Jagdev
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON SOFT COMPUTING FOR PROBLEM SOLVING (SOCPROS 2012), 2014, 236 : 251 - 257
  • [9] A fractional model of Harry Dym equation and its approximate solution
    Kumar, Sunil
    Tripathi, Manoj P.
    Singh, Om P.
    AIN SHAMS ENGINEERING JOURNAL, 2013, 4 (01) : 111 - 115
  • [10] An approximate solution for a fractional model of generalized Harry Dym equation
    Al-Khaled K.
    Alquran M.
    Mathematical Sciences, 2014, 8 (4) : 125 - 130
12345