Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations

被引：24
|
作者：
Abuasad, Salah [1 ]
Hashim, Ishak [2 ]
Karim, Samsul Ariffin Abdul [3 ,4 ]
机构：
[1] King Faisal Univ, Preparatory Year Deanship, Al Hufuf 31982, Al Hasa, Saudi Arabia
[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor, Malaysia
[3] Univ Teknol PETRONAS, Fundamental & Appl Sci Dept, Seri Iskandar 32610, Perak Dr, Malaysia
[4] Univ Teknol PETRONAS, Ctr Smart Grid Energy Res CSMER, Inst Autonomous Syst, Seri Iskandar 32610, Perak Dr, Malaysia
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷
关键词：
NUMERICAL-METHODS; ORDER; SYSTEMS;
D O I：
10.1155/2019/5703916
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this study, we introduce a new modification of fractional reduced differential transform method (m-FRDTM) to find exact and approximate solutions for nonhomogeneous linear multiterm time-fractional diffusion equations (MT-TFDEs) of constant coefficients in a bounded domain with suitable initial conditions. Different applications in two and three fractional order terms are given to illustrate our new modification. The approximate solutions are given in the form of series solutions. The results show that the m-FRDTM for MT-TFDEs is a powerful method and can be generalized to other types of multiterm time-fractional equations.
引用
收藏
页数：14
相关论文
共 50 条
  • [11] New approximate solution for time-fractional coupled KdV equations by generalised differential transform method
    Liu Jin-Cun
    Hou Guo-Lin
    [J]. CHINESE PHYSICS B, 2010, 19 (11)
  • [12] Application of the modified operational matrices in multiterm variable-order time-fractional partial differential equations
    Dehestani, Haniye
    Ordokhani, Yadollah
    Razzaghi, Mohsen
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7296 - 7313
  • [13] Exact solution of time-fractional partial differential equations using sumudu transform
    Karbalaie, Abdolamir
    Montazeri, Mohammad Mehdi
    Muhammed, Hamed Hamid
    [J]. WSEAS Transactions on Mathematics, 2014, 13 (01) : 142 - 151
  • [14] A parareal method for time-fractional differential equations
    Xu, Qinwu
    Hesthaven, Jan S.
    Chen, Feng
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 293 : 173 - 183
  • [15] Solution of the non-linear time-fractional Kudryashov-Sinelshchikov equation using fractional reduced differential transform method
    Tamboli, Vahisht K.
    Tandel, Priti V.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (01):
  • [16] SOLVING TIME-FRACTIONAL CHEMICAL ENGINEERING EQUATIONS BY GENERALIZED DIFFERENTIAL TRANSFORM METHOD
    Haghbin, Ahmad
    Jafari, Hossein
    Goswami, Pranay
    Ariyan, Vernon Morganathan
    [J]. THERMAL SCIENCE, 2020, 24 (01): : S157 - S164
  • [17] LOCAL TIME FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING LOCAL TIME FRACTIONAL TELEGRAPH EQUATIONS
    Chu, Yu-Ming
    Jneid, Maher
    Chaouk, Abir
    Inc, Mustafa
    Rezazadeh, Hadi
    Houwe, Alphonse
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (04)
  • [18] Numerical solution of the multiterm time-fractional diffusion equation based on reproducing kernel theory
    Hemati, Farshad
    Ghasemi, Mehdi
    Khoshsiar Ghaziani, Reza
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (01) : 44 - 68
  • [19] Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method
    Ray, S. Saha
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 51 (08) : 2214 - 2229
  • [20] A stochastic method for solving time-fractional differential equations
    Guidotti, Nicolas L.
    Acebron, Juan A.
    Monteiro, Jose
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 159 : 240 - 253
12345