• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2019, Volume: 12, Issue: 6, Pages: 1-9

Original Article

New Cubic B-spline Approximations for Solving Non-linear Third-order Korteweg-de Vries Equation


Objectives: In this work, the approximate solution of non-linear third order Korteweg-de Vries equation has been studied. Methods: The proposed numerical technique engages finite difference formulation for temporal discretization, whereas, the discretization in space direction is achieved by means of a new cubic B-spline approximation. Findings: In order to corroborate this effort, three test problems have been considered and the computational outcomes are compared with the current methods. It is found that the proposed scheme involves straight forward computations and operates superior to the existing methods. Novelty/Improvements: The proposed numerical scheme is novel for Korteweg-de Vries equation and has never been employed for this purpose before.

Keywords: Cubic B-spline Collocation Method, Cubic B-spline Functions, Finite Difference Formulation, Korteweg-de Vries Equation


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