Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Hikmet Çağlar"'
Publikováno v:
International Journal of Numerical Methods and Applications. 17:19-45
In this paper, linear fractional Schrödinger equation is studied by using compact finite differences method. The fractional part of the equation is worked by applying Caputo fractional derivative definition. In the solution of the problem, finite di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::345f6e6b7d867e62a07f9d52974c94bf
https://doi.org/10.17654/nm017010019
https://doi.org/10.17654/nm017010019
Autor:
Hikmet Çağlar
Publikováno v:
Kafkas Universitesi Veteriner Fakultesi Dergisi.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69fd3932339a492e3afd55e6b8e1528c
https://doi.org/10.9775/kauiibfd.2018.008
https://doi.org/10.9775/kauiibfd.2018.008
Publikováno v:
Acta Physica Polonica A. 125:554-560
A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions of Troesch's problem as they
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0da2e28dec89424825a0d11be6170a9
https://doi.org/10.12693/aphyspola.125.554
https://doi.org/10.12693/aphyspola.125.554
Publikováno v:
Acta Physica Polonica A. 125:548-550
Di usion is one of the most important mechanisms in natural systems. It takes place in solids, liquids and gases. It can be applied in several problems such as heat ow through a medium or the transport of atoms, ions or molecules under a concentratio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a862485126431aa0ebfd3a21a518d98
https://doi.org/10.12693/aphyspola.125.548
https://doi.org/10.12693/aphyspola.125.548
Publikováno v:
International Journal of Computer Mathematics. 87:1885-1891
In this paper, we propose a B-spline method for solving the one-dimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness and accuracy of the B-spline
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29a235ac8009226700981052f5449165
https://doi.org/10.1080/00207160802545882
https://doi.org/10.1080/00207160802545882
Autor:
Hikmet Çağlar, Nazan Çağlar, Amalia Miliou, Mehmet Özer, Antonios Valaristos, A. N. Anagnostopoulos
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 71:e672-e678
In the present report we examine the dynamics exhibited by the solution of Bratu’s equation. It represents a one-dimensional map with control parameter θ . For certain values of the parameter θ it exhibits successive bifurcations and shows chaoti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ede41a5f59eed073d6e01806a1252ac
https://doi.org/10.1016/j.na.2008.11.091
https://doi.org/10.1016/j.na.2008.11.091
Autor:
Nazan Çağlar, Hikmet Çağlar
Publikováno v:
Computers & Mathematics with Applications. 57(5):757-762
The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::491afa5d3df351f62e31028bdc6fa9e7
Publikováno v:
Chaos, Solitons & Fractals. 36:1392-1398
Chaos theory is considered a novel way of understanding the behaviour of nonlinear dynamic systems. It is well known that the evaluation of chaotic systems is dependent on initial conditions since exponential growth error is a common characteristic.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc83ee169a49bf4958a4a15670096c77
https://doi.org/10.1016/j.chaos.2006.09.041
https://doi.org/10.1016/j.chaos.2006.09.041
Publikováno v:
Applied Mathematics and Computation. 175:72-79
This paper considers the B-spline interpolation and compares this method with finite difference, finite element and finite volume methods which applied to the two-point boundary value problem. - d d x p ( x ) d u d x = f ( x ) , a x b , u ( a ) = u (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f7d68c39d3badc8f6309a264c1ea839
https://doi.org/10.1016/j.amc.2005.07.019
https://doi.org/10.1016/j.amc.2005.07.019
Complexity Science and Chaos Theory are fascinating areas of scientific research with wide-ranging applications. The interdisciplinary nature and ubiquity of complexity and chaos are features that provides scientists with a motivation to pursue gener
