A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems-Reference-Cited by-同舟云学术

A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

Published:2019-06-28 Issue:3 Volume:38 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Jiwari Ram,Pandit Sapna,Koksal Mehmet Emir

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s40314-019-0918-1.pdf

Reference49 articles.

1. Abbas M, Majid AA, Ismail AIM, Rashid A (2014) The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems. Appl Math Comput 239:74–88

2. Ablowitz MJ, Zeppetella A (1979) Explicit solutions of Fisher’s equation for a special wave speed. Bull Math Biol 41(6):835–840

3. Arora U, Karaa S, Mohanty RK (2006) A new stable variable mesh method for 1-D non-linear parabolic partial differential equations. Appl Math Comput 181:1423–1430

4. Brazhnik P, Tyson J (1999) On traveling wave solutions of Fisher’s equation in two spatial dimensions. SIAM J Appl Math 60:371–391

5. Chatwin PC, Allen CM (1985) Mathematical models of dispersion in rivers and estuaries. Ann Rev Fluid Mech 17:119–149

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