Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

• Autorzy: Ozlem Ersoy , Idris Dag
• Języki publikacji: EN

Abstrakty

EN

The solutions of the reaction-diffusion system are given by method of collocation based on the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded algebraic matrix equation. Solution of the matrix equation is carried out byway of Thomas algorithm. The present methods test on both linear and nonlinear problems. The results are documented to compare with some earlier studies by use of L∞ and relative error norm for problems respectively.

Słowa kluczowe

EN

finite element method; collocation method; reaction-diffusion equations; exponential cubic B-spline; nonlinear differential equation

• Czasopismo: Open Physics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2015-08-17

zaakceptowano

2015-11-22

online

2015-12-31

Twórcy

autor

Ozlem Ersoy

• Mathematics-Computer Department, Eskisehir
  Osmangazi University, 26480, Eskisehir, Turkey

autor

Idris Dag

• Mathematics-Computer Department, Eskisehir
  Osmangazi University, 26480, Eskisehir, Turkey

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Identyfikatory

DOI

10.1515/phys-2015-0047