On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space

Yılmaz, Süha; Ünlütürk, Yasi̇n; Mağden, Abdullah

doi:10.1063/1.4945908

Cited by 4 publications

(6 citation statements)

References 5 publications

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“…There are many studies about the solving of Burger's and Fractional Burger's equations. Some finite difference approximations are found in the literature [16][17]. For example Zhang and Wang, Kutluay and Bahadir and Özdes, Pandey and Verma studied on finite difference method for burger's equation [3, 5 and 6], Varöglu and LiamFinn studied with finite elements method for solve Burger's equation [4].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method

Kurulay

Senturk

2019

Journal of Engineering Technology and Applied Sciences

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In this study, fractional Burger's Equation, which has Dirichlet Boundary Conditions, is solved with the Finite Difference Method. Fractional Burger Equation is found by S. Momani, which is made with changing time and space terms with fractional terms. This equation is solved with the finite difference method and analysis of this scheme is discussed with examples. Stability and Uniqueness are discussed with using matrix method. We compare analytical and numerical solutions with error analysis of them.

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Section: Introductionmentioning

confidence: 99%

Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method

Kurulay

Senturk

2019

Journal of Engineering Technology and Applied Sciences

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“…Also, Ünlütürk and Yılmaz obtained the new version of Bishop frame for spacelike curves in [14]. There is also a literature containing studies of curves according to Bishop frame and its new versions (see [14][15][16][17]). A curve is thought as a geometric set of points, or locus.…”

Section: Introductionmentioning

confidence: 99%

“…Bishop frame have been studied in 3 1 E by Yılmaz in [17]. Ali studied position vector of a timelike slant helix in 3 1 E in [1].…”

Section: Introductionmentioning

confidence: 99%

Minkowski 3-uzayda 2. tip Bishop çatısına göre null olmayan eğrilerin karakterizasyonlarına dair bir inceleme

Yılmaz¹,

Ünlütürk²,

Mağden³

2016

SAUFenBilDer

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In this work, we study classical differential geometry of non-null curves according to the new version of Bishop frame in which we call it along the work as "the Bishop frame of type-2". First, we investigate position vector of a regular and non-null curve by obtaining a system of ordinary differential equations. The solution of the system gives the components of the position vector with respect to the Bishop frame of type-2 in 3 1 E . Moreover, we define the first, second and third order Bishop planes according to this new frame, and also, regardig to these planes, we characterize position vectors in 3 1 E .

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“…New version of Bishop frame was studied by Yılmaz [8]. In [9], authors studied characterizations of non-null curves according to the Bishop frame of type-2 in Minkowski 3space. Kızıltug was investigated characterization of inextensible flows of curves according to Type-2 Bishop frame Euclidean 3-space [4].…”

Section: Introductionmentioning

confidence: 99%

“…Bishop 2-type frame derivative formulas are presented for timelike curves and spacelike curves with timelike normal in R 3 1 as different from [9] in [3] as following :…”

Section: Introductionmentioning

confidence: 99%

Inextensible curve flows according to Bishop 2-type frame in Minkowski 3-space

Gürbüz¹

2016

imf

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On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space

Cited by 4 publications

References 5 publications

Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method

Numerical Solution of Time and Space Fractional Burger's Equation with Finite Difference Method

Minkowski 3-uzayda 2. tip Bishop çatısına göre null olmayan eğrilerin karakterizasyonlarına dair bir inceleme

Inextensible curve flows according to Bishop 2-type frame in Minkowski 3-space

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