naa a22 4500 510767893 CHVBK 20180411083203.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12043-013-0599-z doi (NATIONALLICENCE)springer-10.1007/s12043-013-0599-z Numerical solution of the one-dimensional Burgers' equation: Implicit and fully implicit exponential finite difference methods [Elektronische Daten] [BILGE INAN, AHMET BAHADIR] This paper describes two new techniques which give improved exponential finite difference solutions of Burgers' equation. These techniques are called implicit exponential finite difference method and fully implicit exponential finite difference method for solving Burgers' equation. As the Burgers' equation is nonlinear, the scheme leads to a system of nonlinear equations. At each time-step, Newton's method is used to solve this nonlinear system. The results are compared with exact values and it is clearly shown that results obtained using both the methods are precise and reliable. Indian Academy of Sciences, 2013 Burgers' equation nationallicence exponential finite difference method nationallicence implicit exponential finite difference method nationallicence fully implicit exponential finite difference method nationallicence INAN BILGE Department of Mathematics, Faculty of Arts and Science, Inonu University, 44280, Malatya, Turkey aut BAHADIR AHMET Department of Mathematics, Faculty of Arts and Science, Inonu University, 44280, Malatya, Turkey aut Pramana Springer India 81/4(2013-10-01), 547-556 0304-4289 81:4<547 2013 81 12043 https://doi.org/10.1007/s12043-013-0599-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12043-013-0599-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- INAN BILGE Department of Mathematics, Faculty of Arts and Science, Inonu University, 44280, Malatya, Turkey aut NATIONALLICENCE 700 1- BAHADIR AHMET Department of Mathematics, Faculty of Arts and Science, Inonu University, 44280, Malatya, Turkey aut NATIONALLICENCE 773 0- Pramana Springer India 81/4(2013-10-01), 547-556 0304-4289 81:4<547 2013 81 12043 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer