The Solutions of Legendre's and Chebyshev's Differential Equations by Using the Differential Transform Method

被引：1
|
作者：
Alotaibi, A. M. [1 ]
El-Moneam, M. A. [2 ]
Badr, Badr S. [3 ]
机构：
[1] Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
[2] Jazan Univ, Fac Sci, Math Dept, Jazan, Saudi Arabia
[3] Tanta Univ, Fac Sci, Math Dept, Tanta, Egypt
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1155/2022/8893695
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Chebyshev's and Legendre's differential equations' solutions are solved employing the differential transform method (DTM) and the power series method (PSM) in this study. This research shows that this method is efficient and effective in discovering Chebyshev's and Legendre's differential equation (DE) series solutions and that it can reduce calculation size when compared to other methods.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Learning solutions to partial differential equations using LS-SVM
    Mehrkanoon, Siamak
    Suykens, Johan A. K.
    NEUROCOMPUTING, 2015, 159 : 105 - 116
  • [32] An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with Variable Polynomial Coefficients
    Bhrawy, A. H.
    Alofi, A. S.
    El-Soubhy, S. I.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [33] Asymptotically periodic solutions of fractional differential equations
    Cuevas, Claudio
    Henriquez, Hernan R.
    Soto, Herme
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 524 - 545
  • [34] A Review of Collocation Approximations to Solutions of Differential Equations
    Singh, Pravin
    Parumasur, Nabendra
    Singh, Shivani
    MATHEMATICS, 2022, 10 (23)
  • [35] On the uniqueness of solutions for a class of fractional differential equations
    Zou, Yumei
    He, Guoping
    APPLIED MATHEMATICS LETTERS, 2017, 74 : 68 - 73
  • [36] Periodic Solutions of Sublinear Impulsive Differential Equations
    Niu, Yanmin
    Li, Xiong
    TAIWANESE JOURNAL OF MATHEMATICS, 2018, 22 (02): : 439 - 452
  • [37] Nonnegative solutions of fractional functional differential equations
    Jiang, Yao-Lin
    Ding, Xiao-Li
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (05) : 896 - 904
  • [38] The iterative solutions of nonlinear fractional differential equations
    Zhang, Xinguang
    Liu, Lishan
    Wu, Yonghong
    Lu, Yinan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4680 - 4691
  • [39] Symmetric solutions for hybrid fractional differential equations
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Suantai, Suthep
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (07) : 1332 - 1342
  • [40] POSITIVE SOLUTIONS OF ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATION TO MIXED-TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS
    Zhou, J. U. N.
    Shen, J. U. N.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (07): : 3605 - 3624
12345