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On new characterization of inextensible flows of space-like curves in de Sitter space

100%

Yeneroğlu M.

Open Mathematics

2016

tom 14

nr 1

946-954

Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space [...] S 1 3 $\mathbb{S}_{1}^{3}$. Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3 $\mathbb{S}_{1}^{3}$.

Numerical methods for the multiplicative partial differential equations

100%

Yazıcı M., Selvitopi H.

Open Mathematics

2017

tom 15

nr 1

1344-1350

We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.

Ograniczanie wyników

2 Open Mathematics

1 Selvitopi H.

1 Yazıcı M.

1 Yeneroğlu M.

1 2017

1 2016

Wyniki wyszukiwania

On new characterization of inextensible flows of space-like curves in de Sitter space

Numerical methods for the multiplicative partial differential equations