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)


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


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