SOLUTION OF DIFFUSION EQUATION WITH LOCAL DERIVATIVE WITH NEW PARAMETER

被引:9
作者
Atangana, Abdon [1 ]
Goufo, Emile Franc Doungmo [2 ]
机构
[1] Univ Orange Free State, Inst Groundwater Studies, Bloemfontein, South Africa
[2] Univ S Africa, Dept Math Sci, Florida, South Africa
来源
THERMAL SCIENCE | 2015年 / 19卷
关键词
diffusion equation; local derivative with new parameter; stability; convergence;
D O I
10.2298/TSCI15S1S31A
中图分类号
O414.1 [热力学];
学科分类号
摘要
A local derivative with new parameter was used to model diffusion. The modified equation was solved iteratively. Stability of the used method together with the uniqueness of the special solution was studied. An algorithm was proposed to derive the special solution.
引用
收藏
页码:S231 / S238
页数:8
相关论文
共 24 条
[1]  
[Anonymous], 2011, Progress Nonlinear Sci.
[2]  
[Anonymous], INTRO COMPUTATIONAL
[3]  
Apostol TomM, 1967, One-variable calculus, with an introduction to linear algebra
[6]   A generalized groundwater flow equation using the concept of variable-order derivative [J].
Atangana, Abdon ;
Botha, Joseph Francois .
BOUNDARY VALUE PROBLEMS, 2013,
[7]   A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions [J].
Atangana, Abdon ;
Secer, Aydin .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[8]  
Brychkov Y. A., 1992, MULTIDIMENSIONAL INT
[9]  
Cajori F, 1924, ANN MATH, V25, P1
[10]   LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].
CAPUTO, M .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&