Jñānābha, Vol. 51 (1) (2021), (207-212)
Jñānābha, Vol. 51 (1) (2021), (207-212)
NUMERICAL ELUCIDATION OF KLEIN-GORDON-ZAKHAROV SYSTEM
By
Ram Dayal Pankaj and Chiman Lal
Department of Mathematics, J.N.V. University, Jodhpur-342001 Rajasthan, India
Email:drrdpankaj@yahoo.com; chimanmongs@gmail.com
( Received : January 20, 2020; Revised : February 07, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51125
Abstract
We solve the numerically of the coupled 1D Klein-Gordon-Zakharov system (KGZ) equations in short) by PetrovGalerkin method, using linear and cubic B-Spline, as trial functions. The midpoint rule will be functional to advance the solution in time. This scheme is stable to Von Neumann stability analysis. Numerical solution is used to think about the accurateness and show the dynamism of the scheme.
2010 Mathematics Subject Classifications: 35M11, 37M15, 65P10
Keywords and phrases: Coupled 1D Klein-Gordon-Zakharov system; Mid - Point Rule; Linear and cubic B-Spline; Von Neumann stability analysis