Lakshmi C Nair

Lakshmi C Nair
Bharata Mata College Thrikkakara · Mathematics

Doctor of Philosophy

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7
Publications
2,650
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77
Citations
Citations since 2017
7 Research Items
77 Citations
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20172018201920202021202220230510152025
20172018201920202021202220230510152025

Publications

Publications (7)
Article
Full-text available
This paper presents a numerical method based on quintic trigonometric B‐splines for solving modified Burgers' equation (MBE). Here, the MBE is first discretized in time by Crank–Nicolson scheme and the resulting scheme is solved by quintic trigonometric B‐splines. The proposed method tackles nonlinearity by using a linearization process known as qu...
Article
Full-text available
Even if numerical simulation of the Burgers’ equation is well documented in the literature, a detailed literature survey indicates that gaps still exist for comparative discussion regarding the physical and mathematical significance of the Burgers’ equation. Recently, an increasing interest has been developed within the scientific community, for st...
Article
A new and efficient numerical scheme for approximating one-dimensional nonlinear modified Burgers equation has been illustrated in this study. The method makes use of collocation of quintic splines and Crank Nicolson scheme for spatial and temporal discretization respectively. Linearization involves a quasilinearization process as explained by Rubi...
Article
In this paper, a numerical θ scheme is proposed for solving nonlinear Burgers’ equation. By employing Hopf-Cole transformation, the nonlinear Burgers’ equation is linearized to the linear Heat equation. The resulting Heat equation is further solved by cubic B-splines. The time discretization of linear Heat equation is carried out using Crank-Nicols...

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