SOLUTION OF COMPLEX DIFFERENTIAL EQUATIONS BY USING REDUCED DIFFERENTIAL TRANSFORM METHOD

被引:2
|
作者
Duz, M. [1 ]
机构
[1] Karabuk Univ, Fac Sci, Dept Math, TR-78050 Karabuk, Turkey
关键词
complex differential equation; reduced differential transform method;
D O I
10.18514/MMN.2020.3240
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, complex differential equations from first and second order with constant coefficients are solved using reduced differential transform method (RDTM). Such equations were previously solved by other methods. While obtaining a solution with these methods, the solution was reached by dividing the equation into real and imaginary parts. With the RDTM used in this study, we found that the solution can be reached without dividing the real and imaginary parts of the equation. An iteration relation is given for the solution of such equations. In addition, a variable coefficient equation was solved with RDTM.
引用
收藏
页码:161 / 170
页数:10
相关论文
共 50 条
  • [21] ON SOME FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS USING DIFFERENTIAL TRANSFORM METHOD
    Ehsan, Kubra
    Ahmad, Jamshad
    JOURNAL OF SCIENCE AND ARTS, 2018, (04): : 959 - 972
  • [22] Solving systems of fractional differential equations using differential transform method
    Erturk, Vedat Suat
    Momani, Shaher
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 215 (01) : 142 - 151
  • [23] The Telegraph Equation and Its Solution by Reduced Differential Transform Method
    Srivastava, Vineet K.
    Awasthi, Mukesh K.
    Chaurasia, R. K.
    Tamsir, M.
    MODELLING AND SIMULATION IN ENGINEERING, 2013, 2013 (2013)
  • [24] Numerical Solution of Fisher-KPP Equation by Using Reduced Differential Transform Method
    Saeed, Rostam K.
    Mustafa, Andam A.
    6TH INTERNATIONAL CONFERENCE AND WORKSHOPS ON BASIC AND APPLIES SCIENCES, 2017, 1888
  • [25] Approximate Solution of Kuramoto-Sivashinsky Equation using Reduced Differential Transform Method
    Acan, Omer
    Keskin, Yildiray
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [26] (n+1)-Dimensional reduced differential transform method for solving partial differential equations'
    Yu, Jianping
    Jing, Jian
    Sun, Yongli
    Wu, Suping
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 697 - 705
  • [27] A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method
    Singh, Brajesh Kumar
    Mahendra
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
  • [28] Solution of free vibration equations of beam on elastic soil by using differential transform method
    Catal, Seval
    APPLIED MATHEMATICAL MODELLING, 2008, 32 (09) : 1744 - 1757
  • [29] REDUCED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING LINEAR AND NONLINEAR WAVE EQUATIONS
    Keskin, Y.
    Oturanc, G.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2010, 34 (A2): : 113 - 122
  • [30] Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations
    Abuasad, Salah
    Hashim, Ishak
    Karim, Samsul Ariffin Abdul
    ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019