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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 2; Page(s) 79 To 89.
 
Paper: 

Numerical study of reaction diffusion Fisher’ s equation by fourth order cubic B-spline collocation method

 
 
Author(s):  Rohila Rajni*, MITTAL R.C.
 
* Department of Mathematics, IIT Roorkee, Roorkee, Uttarakhand 247667, India
 
Abstract: 
Fourth-order B-spline collocation method has been applied for numerical study of Fisher’ s equation which represents several important phenomena such as biological invasions, reaction diffusion in chemical processes and neutron multiplication in nuclear reactions, etc. Results are found to be better than second-order B-spline collocation method. It is observed that when time becomes sufficiently large, local initial disturbance propagates with constant limiting speed. Proposed method is satisfactorily efficient in terms of accuracy and stability.
 
Keyword(s): Fisher’s equation,Collocation method,Cubic B-splines,Gauss elimination method
 
 
References: 
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APA: Copy

Rohila, R., & MITTAL, R. (2018). Numerical study of reaction diffusion Fisher’ s equation by fourth order cubic B-spline collocation method. MATHEMATICAL SCIENCES, 12(2), 79-89. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668028



Vancouver: Copy

Rohila Rajni, MITTAL R.C.. Numerical study of reaction diffusion Fisher’ s equation by fourth order cubic B-spline collocation method. MATHEMATICAL SCIENCES. 2018 [cited 2021June24];12(2):79-89. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668028



IEEE: Copy

Rohila, R., MITTAL, R., 2018. Numerical study of reaction diffusion Fisher’ s equation by fourth order cubic B-spline collocation method. MATHEMATICAL SCIENCES, [online] 12(2), pp.79-89. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668028.



 
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